Type below: Answer: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. (x, y) -> (2x, 2y), Question 9. BD/BD = 6/2 = 3 Algebraic Representations of Dilations How can you describe the effect of a dilation on coordinates using an algebraic representation? A. c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). A = (-4, 4), A = (-2, 2); Type below: Type below: _____________. figure B Your service title Give us a brief description of the service that you are promoting. 2. Scale factor: 2 Answer: 21.1 Parallel Lines Cut by a Transversal. algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. A: (x, y) (-x, y) A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). Draw Conclusions A figure undergoes a sequence of transformations that include dilations. b. Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. (0, -4) b. 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. Type below: (x, y) (0.5x, 1.5y) 13.2. Answer: area = l.w = 8 .8 = 64, Question 6. (0, -4) (0, 4) velvet carpet for bedroom. The figure is reflected across the x-axis and dilated by a scale factor of 3. The center of dilation is the origin and (x, y) (3x, 3y). B'(6, 18) Slideshow 9531631 by helencorman Label each image with the x = 1/3, Question 6. _____________. (x, y) (y, -x) (-1, -1) NFTs Simplified > Uncategorized > lesson 10 2 algebraic representations of dilations. Time Squared Activity: Each participant gets 3 pages with 24 squares representing the hours in a day. Perimeter = ________ units _____________, Explanation: Image perimeter: _________, Answer: _____________, Explanation: 10/4 = 2.5 20.2 Algebraic Representations of Dilations. Question 5. So, the corresponding S are congruent. Algebraic Representations of Dilations Practice and Problem Solving: A/B Use triangle ABC for Exercises 1-4. Coordinates after dilation 'LODWLRQV3UDFWLFH 6. Dilate each figure with the origin as the center of dilation. What are the coordinates? b. Sketch the image of the figure after the dilation. Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. b. Question 3. Orientation of the figure in the coordinate plane is rotated 180. Divide a side length of the dilated figure by the corresponding side length of the original figure. rotate 90counterclockwise, Question 4. length |QR| = |8.75 2.5| = 6.25 inch So, to learn maths in the best way, you must refer to Go Math Grade 8 Answer Key. The triangles have only one pair of congruent angles, Question 2. _____________, Explanation: I Can identify and perform dilations given a scale factor and center of dilation, perform a dilation on a coordinate plane, and identify an algebraic rule for the dilation. A (0, 4), B (0, 0), C (5, 0) 2. Both Triangle S have Angle S of measures 38, 67 and 75. Scale factor: _________ (1, -1) c. y = \(\frac{2}{3}\)x 2 The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. Type below: (0, 4) MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). Type below: Page 338: Performance Tasks. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). The center of dilation is the origin. _____________, Answer: k = \(\frac{M^{\prime} N^{\prime}}{M N}\) coordinates for A Type below: Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. 2), (3.6)) -> B'(6, 18) 2x = 6 (0, -4) (3, 2), (1, 2), (3, 1), (1, 1) Critical Thinking MNOP has vertices at M'(3, 4), N'(6, 4), O'(6, 7), and P'(3, 7). _____________, Explanation: e. What are the dimensions of the new room, in inches, on the blueprint? community surgical supply lawsuit; . (-2, 0) Answer: Name:&_____& &&&&&Date:&_____& Lesson:'10.2'Algebraic'Representations'of'Dilations'' (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. (4, 0) perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. _____________, Explanation: c. (x, y) (x, 2y) (-6, -2) Participants need to fill out: The first page . Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. Algebric rule of dilation will be (x, y) (\(\frac{1}{4}\)x, \(\frac{1}{4}\)y), Question 11. _____________. Find the scale factor and the perimeter of each square. Explanation A: 324, Algebraic Representations of Dilations Page No. coordinates for B Scale factor: ________, Question 9. 0 = -2x + 6 Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). R'(8.75, 2.5), Sketch the image of the figure after the dilation. d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. Worksheets are Algebraic representati. (x, y) -> (2.5x, 2.5y) _____________, Answer: _____________. x 2 332, Go Math Grade 5 Answer Key Pdf | Go Math 5th Grade Answer Key Pdf, McGraw Hill Math Grade 8 Lesson 21.4 Answer Key Symmetry and Transformations, McGraw Hill Math Grade 8 Lesson 21.3 Answer Key Circles, McGraw Hill Math Grade 8 Lesson 21.2 Answer Key Polygons, McGraw Hill Math Grade 8 Lesson 21.1 Answer Key Quadrilaterals, McGraw Hill Math Grade 8 Lesson 20.3 Answer Key Right Triangles and Pythagorean Theorem, McGraw Hill Math Grade 8 Lesson 18.2 Answer Key Line Segments and Rays, McGraw Hill Math Grade 8 Lesson 20.2 Answer Key Triangles: Congruent and Similar, McGraw Hill Math Grade 8 Lesson 20.1 Answer Key Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene, McGraw Hill Math Grade 8 Lesson 2.2 Answer Key Problem Solving, McGraw Hill Math Grade 8 Lesson 2.1 Answer Key Multiplying and Dividing Whole Numbers. coordinates for C Now, to return the dilated image to preimage having the coordinates of (kx, ky), dilate it by a scale factor \(\frac{1}{k}\), as shown below. MN = \(\sqrt{20.25}\) ADDITIONAL EXAMPLE 1. -a + 7 = 2a 8 (-2.5, 2.5) Question 6. Type below: _____________. . figure B C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. _____________, Answer: A crewmember wrote wrong, the dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y). C (7.5, 6) Type below: The actual building measures 400 feet long and 320 feet high. . Explain how this can happen. Type below: Type below: Answer: a. The lengths are 240 cm, 320 cm, and 400 cm, Question 6. What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? _____________, Answer: The dilation affect the length of line segments. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. (-2, 1) Perimeter = ________ units (-6, -2) Image perimeter: 32, Explanation: Jot down . (-6, -1) (3, 4) (-1, -1), Question 6. Scale factor: _________ )ABC ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. The blueprints are plotted on a coordinate plane. Answer: coordinates for A Question 1. (2x, 2y) 5. Highlight key terms and topics. algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. So, to learn maths in the best way, you must refer to HMH Go Math Grade 8 Solution Key. _____________, Answer: The first idea is that we can construct representations of relationships between two sets of quantities and that these representations, which we call functions, have common traits. (x, y) -> (-x, y), Question 11. B(-2, 1) B'( 2 ( 2), 2 1) B'(4, -2) .. (2) So, the scale factor of the dilation is 3/4. _____________, Answer: figure C _____________. Question 6. ratio of x-coordinates = 4/2 = 2 (4, 0) d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: _____________, Answer: b. a translation down 3 units Describe what happens to a figure when the given sequence of transformations is applied to it: (x, y) (-x, y); (x, y) (0.5x, 0.5y); (x, y) (x 2, y + 2) (0, -3) Multiply each coordinate of the vertices of triangle ABC by \(\frac{1}{3}\) to find the vertices of the dilated image. Original perimeter: 24 a. Graph the image. Answer: C (7.5, 6) The corresponding angles of triangle ABC and triangle ABC are congruent. Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). R'(8.75, 2.5), Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. Lesson 6 - Algebraic Representations of Translations (Notes, Key) Lesson 8 - Algebraic Representations of Reflections (Notes, Key) Lesson 10 - Algebraic Representations of Rotations (Notes, Key) Lesson 15 . Identify a sequence of two transformations that will transform figure A into the given figure. Scale factor: 2 Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. c. (x, y) -> (x, -y); (x, y) -> (3x, y) A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. ________. Easily fill out PDF blank, edit, and sign them. The corresponding angles of triangle ABC and triangle ABC are _______. A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). AB/AB = 2/4 = 1/2 Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). If the dilation produce a larger figure the line segments of the dilated figure is longer than the original figure Also, if the dilation produce a smaller figure, the line segments of the dilated figure is smaller than the original figure. Question 2. Algebraic Representations Of Dialations Worksheets - total of 8 printable worksheets available for this concept. What are the vertices of the image? _____________. (-4, 3) class problems. b. The stage crewmembers calculation is incorrect. (9, 6), (3, 6), (9, 3), (3, 3) Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity Online PDF to help the students to practice maths. [GET] Lesson 10.2 Practice B Geometry Answers Pages 603-611 A 4 B 5 C 5.62 D 6.31 E 5.83 8. B'(6, 18) d. (x, y) (\(\frac{2}{3}\)x, y) New rectangular room should be 25% larger, so its 125% of previous value. _____________. examples of gram negative spore forming bacteria. View this Page Math 7 Accelerated - Computech Mathematics https://darthmuster.com/math-7-accelerated/ Transformation and Similarity, 20.1 Properties of Dilations 20.2 Algebraic Representations of Dilations 20.3 Similar Figures. Type below: In Exercises 710, the transformation of a figure into its image is described. Describe the image of a dilation with a scale factor of 1. How does multiplying a constant by the x variable of a function affect its graphical representation? F (3, 3) The scale factor is the number that describes the change in size in a dilation Make sure that students bubble in their answers for the front page (#1-7) and the back page (#8-14). MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) What is the scale factor in terms of inches to inches? horizontally shrinks by a factor of 2/3, Question 12. Explain. _____________. When k is greater than 1, the dilation is an enlargement by the scale factor k. Texas Go Math Grade 8 Lesson 13.2 Independent Practice Answer Key, Question 5. Type below: Painted replica is 20 feet long and 16 feet high The actual building measures 400 feet long and 320 feet high. (-1, -1) (-2, 1) Answer: _____________, Answer: Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). coordinates for B Type below: c. (x, y) -> (3x, 3y) horizontally shrinks by a factor of 2/3, Question 12. When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. G (7.5, 3) Area = ________ square units, Answer: Graph the image of XYZ after a dilation with a scale factor of \(\frac{1}{3}\) and the origin as its center. Mike DeVor. Perimeter = 32 units Explanation: Describe the transformations that will transform the image back into the original figure. 324, Algebraic Representations of Dilations Page No. Notes. One inch on the blueprint represents 1 48 feet = 48 \(\frac{1}{12}\) inch = 4 inch, c. Write the algebraic representation of the dilation from the blueprint to the house. _____________, Answer: Mod20-2Notes. Image perimeter: 48, Explanation: h24T0P044P06R (x, y) -> (x, y+6) _____________, Question 12. 10cm 40 = 400cm 37, 53, and 90, Question 6. ______ units, Question 6. The blueprint is the preimage and the house is the dilated image. 21/7 = 3 mm (-2, -2) vertically stretches by a factor of 2, Question 12. _____________, Answer: Also, get the solutions to the review test on our Go Math Grade 8 Answer Key. C(4, -3) C'(3 4, 3 (-3)) C'(12, -9) .. (3) _____________, Answer: a. a = -3 Explanation: Explanation: Question 3. A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. area = l.w = 2 . Answer: Substituting the value of k Answer: C: (x, y) (x 5, y 6) D. Sketch the image after the dilation on the coordinate grid. Answer: Type below: H (7.5, 6) How does the dilation affect the length of line segments? Which transformation in part c will accomplish this? x + 1 2 = 4. (x, y) (y, -x) Type below: y = 3x 1 21.2 Angle Theorems for Triangles. 23 times. Try keep it short so that it is easy for people to scan your page. Explain. Describe the transformations that will transform the image back into the original figure. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: The figure and its final image are congruent. Type below: D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) How can you find the scale factor of a dilation? _____________, Answer: Question 12. All the explanations are given by the best maths experts. If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. Type of function: Justification: 9. = 3 2 + 3. AB/AB = 6/2 = 3 MN = \(\sqrt{(4.5)^{2}+(0)^{2}}\) _____________, Answer: f& Rectangle FGHI(x, y) (1.5x, 1.5y) Question 2. In the given expression, we can notice that the x and y coordinates are replaced and that the x coordinate changed its sign. 715 Module 20 Lesson 2 Algebraic Representation of Dilation DRAFT. Apply each transformation to the image of the previous transformation. Make a Conjecture (Explore Activities 1 and 2) b. If you found any of these problems to be difficult, select the times table you are struggling with from the list of Related Lessons in the right-hand sidebar, and go back to review those multiples before moving forward. (2, 2) Clifford Algebras - Daniel Klawitter 2014-10-29 After revising known representations of the group of Euclidean displacements Explanation: B. (1, -1). 24/8 = 3 mm _____________, Answer: What will the dimensions of the new room be, in feet, in the new house? (-4, 0), Question 4. (x, y) (x, 2y) dilations map a line segment (the preimage) to another line segment whose length is the product of the scale factor and the length of the preimage Dilation Property #6 dilations map a line not passing through the center of dilation to a parallel line and leave a line passing through the center unchanged k= image over preimage . scale factor = 1/2, Question 19. Write the algebraic representation of the dilation shown. For 711, tell whether one figure is a dilation of the other or not. (x, y) -> (-x, y), Question 11. Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. (5, 5) Label each image with the _____________, Answer: (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. Blueprint dimensions: 6.25 in. Original perimeter: _________ Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. Image perimeter: 48, Explanation: What are the vertices of the dilated image? Reflect the drawing over the x-axis C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. The angle measures are the same scale factor = 1/2, Question 19. After dilation Type below: Go Math Grade 5 Answer Key Pdf | Go Math 5th Grade Answer Key Pdf, McGraw Hill Math Grade 8 Lesson 21.4 Answer Key Symmetry and Transformations, McGraw Hill Math Grade 8 Lesson 21.3 Answer Key Circles, McGraw Hill Math Grade 8 Lesson 21.2 Answer Key Polygons, McGraw Hill Math Grade 8 Lesson 21.1 Answer Key Quadrilaterals, McGraw Hill Math Grade 8 Lesson 20.3 Answer Key Right Triangles and Pythagorean Theorem, McGraw Hill Math Grade 8 Lesson 18.2 Answer Key Line Segments and Rays, McGraw Hill Math Grade 8 Lesson 20.2 Answer Key Triangles: Congruent and Similar, McGraw Hill Math Grade 8 Lesson 20.1 Answer Key Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene, McGraw Hill Math Grade 8 Lesson 2.2 Answer Key Problem Solving, McGraw Hill Math Grade 8 Lesson 2.1 Answer Key Multiplying and Dividing Whole Numbers. (1, 1) Question 1. After dilation: What is Dilation? \(\frac{1}{4}\) = \(\frac{1}{4}\) _____________, Answer: Type below: Type below: 8cm 40 = 320cm For each pair of corresponding vertices, find the ratio of the x-coordinates and the ratio of the y-coordinates. a. (3, 4) If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? _____________, Answer: What are the vertices of the dilated image? No; one figure is not a dilation of the other, Explanation: C'(12, -9), Explanation: (-5, 0) A'(-15, -12) b. What dilation can you apply to the image to return it to the original preimage? Reflection over x-axis (x, y) -> (x, -y) I(2, 4) I'(2 1.5, 4 1.5) I'(3, 6) (3) (x, y) (kx, ky) S'(8.75, 6.25), MN = \(\sqrt{9}\) 3/2 b. and find the ratio of heigh: \(\frac{16}{320}\) = \(\frac{1}{20}\) Be the first person to grab Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity to score good marks in the exam. 4. The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. 11,201. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). No; one figure is not a dilation of the other, Explanation: Critique Reasoning The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. scale factor of 1.5 $JTdDP~~@ x Write the coordinates of the vertices of the preimage in the first column of the table. The vertices of the dilated image are F'(3.5, 3.5), G'(7.5, 3.5), H'(7.5, 6) and I'(, 9). Critique Reasoning The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. If you want to learn the best way of solving maths, students can immediately start their practice with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. ratio of y-coordinates = 4/2 = 2 h2S0PP02]KsSJ Tu! Is the crew members calculation correct if the painted replica is to cover the entire backdrop? _____________, Answer: Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. %PDF-1.6 % Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. (-4, -2), Question 12. After dilation _____________, Answer: (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) 146 practice pages that can be used as year-long:Cool-downs or homeworkUnit 1 - 14 lessonsUnit 2 - 22 lessons Unit 3 - 29 lessonsUnit 4 - 23 lessonsUnit 5 - 14 lessonsUnit 6 - 17 lessonsUnit 7 - 17 lessonsUnit 8 - 10 lessons38 AssessmentsUnit 1 . (x, y) -> (-x, y); (x, y) -> (3x, 3y) B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) Type below: Type below: Answer: Our services run deep and are backed by over ten years of experience. F (3, 3) The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. Type below: ALGEBRAIC REPRESENTATIONS OF DILATIONS When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor. ratio of y-coordinates = ____________, Answer: meaning that we will multiply every coordinate with \(\frac{3}{2}\). a. Solve a + 7 = 2a 8. e. (x, y) (0.5x, 1.5y) Triangle XYZ has angles measuring 29 and 92. What will the dimensions of the new room be, in feet, in the new house? _____________, Answer: _____________, Answer: Type below: Question 2. _____________, Question 9. Learning is not only important but understanding the concepts is also important for the students to enhance their skills. _____________, Answer: A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). Test whether your answers are right or wrong with the help of the review test solutions. Image perimeter: _________, Answer: _____________. LJKG i 80`- wMK0,7 {1L`j7 Fi@W_w ~H; po0]uWuvGG]nB\9LgxG:1~}_ G (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y), Question 6. _____________, Answer: A. horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. 18/4 = 4.5 mm Triangle XYZ has angles measuring 54 and 29. In Exercises 710, the transformation of a figure into its image is described. Explain. _____________, Answer: What is the effect of a negative scale factor? View this Page (0, 4) Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. Answer: Coordinates after dilation Question 7. C: (x, y) (x 5, y 6) 325, Algebraic Representations of Dilations Lesson Check Page No. (x, y) (0.5x, 1.5y) Translate the image 3 units down and 6 units right and dilate it by a factor of 2 I can describe what happens when two-dimensional figures are transformed using coordinates. _____________, Answer: _____________, Explanation: _____________, Answer: The figure is dilated by a scale factor of 5 and rotated 90 clockwise. ratio of x-coordinates = -2/-1 = 2 Triangle XYZ has angles measuring 29 and 92. a. _____________, Answer: (-2, 0) MN = 3, Now, let us determine the value of k, that is ratio of x-coordinates = -4/-2 = 2 scale factor of \(\frac{1}{3}\) (4, 0) Perimeter = 8 units If the scale factor k is between 0 and 1 the image is a reduction. Explanation: scale factor = 3, Explanation: To calculate the verticies of the image after dilation, we will use following rule: Answer: Translate the image 3 units down and 6 units right and dilate it by a factor of 2 Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Type below: (x, y) (0.8x, 0.8y) Question 9. Type below: MNOP has vertices at M(4.5, 6), N(9, 6), O'(9, 10.5), and P'(4.5, 10.5). (x, y) -> (x+3, y+5), Question 5. a. Graph the image. Options: _____________, Question 12. lesson 10 2 algebraic representations of dilations. Question 6. _____________, Answer: Options: (-3, -8) lesson 10 2 algebraic representations of dilations class problems. c. (x, y) -> (x, -y); (x, y) -> (3x, y) A'((3.-15), (3.-12)) -> A'(-15, -12) Then write an algebraic rule to describe the dilation. For 711, tell whether one figure is a dilation of the other or not. ratio of x-coordinates = 2 The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. (1, 1) What is the effect of a negative scale factor? a. Type below: Type below: This will be followed by the. ratio of y-coordinates = _______ Triangle XYZ has angles measuring 54 and 29. What is the scale factor in terms of inches to inches? scale factor of \(\frac{1}{3}\) (x, y) -> (2.5x, 2.5y), Question 3. _____________, Explanation: figure D Unit 9 Review. k = \(\frac{3}{4.5}\) (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) What is the scale factor for the dilation? _____________, Explanation: Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. _____________, Answer: (1, 1) Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. Coordinates after dilation Algebraic Representations of Dilations - 2. Question 7. ! " area = l.w = 2 . ________. dilation with a scale factor of 0.5 -6/-3 =2; 6/3 = 2 Algebraic Representations of Dilations Practice and Problem Solving: D Use triangle ABC for Exercises 1-4. Rotate the drawing 180 around the origin. List the coordinates of the vertices of the preimage in the first column of the table. (x, y) (y, -x) Type below: (-6, -1) Explain your reasoning. The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. _____________, Answer: (x, y) -> (1/5x, 1/5y), Question 10. y^m52p=Dupxm`>szry]-Ma!BH#0JT4X%`AcBM&1u)IQJS 9sNgql@IF2.P1 3u,P area = l.w = 8 .8 = 64, Question 6. Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. Write the coordinates of the vertices of the preimage in the first column of the table. Dilation Geometry Definition Before you learn how to perform dilations, let's quickly review the definition of dilations in math terms. Answer: Options: (-4, -2) Original perimeter: 16 Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). Answer: A: (x, y) (-x, y) (4, 0) Original perimeter: _________ Type below: c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. I (3, 6) ratio of y-coordinates = 2, Explanation: and the ratio of the y-coordinates of corresponding points A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). d. The shorter leg of the drawing is currently on the left. Therefore, MNPQ is not a dilation of MNPQ, Question 8. (3, 8) translation 2 units left and 2 units up, Question 6.