B(2, 6) B'(3 2, 3 6) B'(6, 12) (2) The blueprints are plotted on a coordinate plane. (-6, -1) a = 15/3 Explain. Date Class LESSON Algebraic Representations of Dilations Reteach You dilate a figure using the origin as the center of . LJKG i 80`- wMK0,7 {1L`j7 Fi@W_w ~H; po0]uWuvGG]nB\9LgxG:1~}_ G d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: Draw Conclusions A figure undergoes a sequence of transformations that include dilations. C (7.5, 6) Multiply each coordinate of the vertices of rectangle FGHI by 1, 5 to find the vertices of the dilated image. 2), (3.6)) -> B'(6, 18) c. (x, y) (x, 2y) Page 333: Ready to Go On? C: (x, y) (x 5, y 6) e. (x, y) (0.5x, 1.5y) ratio of y-coordinates = 2/1 = 2 The TEKS targeted in these notes are: 8.10(A) generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two dimensional shapes on a coordinate plane 8.10(B) differentiate between transformations that preserve congruence and those that do not 8.10(C) explain the effect of . Type below: _____________, Explanation: The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Type below: Lesson Video 20.2 . (0, 4) Triangle XYZ has angles measuring 54 and 29. x = 2 . Cursos focados em mquinas pesadas. Type below: Depending on the scale factor, dilation may increase or decrease the starting object. 90 clockwise rotation, Question 12. Coordinates after dilation Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. S'(8.75, 6.25), (-3, -4) Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). Question 7. Type below: A stage crew member writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. ratio of y-coordinates = 2, Explanation: 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. Original perimeter: 24 (x, y) (\(\frac{2}{3}\)x, \(\frac{2}{3}\)y). $JTdDP~~@ x a. _____________, Answer: d. a = 15, Explanation: The vertices of the dilated image are F'(3.5, 3.5), G'(7.5, 3.5), H'(7.5, 6) and I'(, 9). The center of dilation is the origin and (x, y) (3x, 3y). (x, y) (0.5x, 1.5y) Orientation of the figure in the coordinate plane is rotated 180. Write the algebraic representation of the dilation shown. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. In this lesson, you will learn multiples of 11. a dilation produces an image similar to the original figure, Question 10. The center of dilation is the origin. Scale factor: 2 Chapter 10:Transformations and Similarity; Lesson 2: Algebraic Representations of Dilations Please share this page with your friends on FaceBook Question 10 (request help) Write the algebraic representation of the dilation shown. If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. Area = 64 square units, Explanation: y = 2/3 . (x, y) (-x, -y) The division process is straightforward. Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. _____________, Answer: (0, 4) Coordinates after dilation After the sequencing of transformations, reflection over the y-axis. Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. a. (x, y) -> (-y, x) MN = 4.5, Length of MN, given M'(3, 4), N'(6, 4). Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. (x, y) -> (1.5x, 1.5y) MN = 3, Now, let us determine the value of k, that is -a + 7 = 2a 8 Type below: 6cm 40 = 240cm ________ inches Type below: (show solution) Question 6 (request help) Critical Thinking A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). Rectangle FGHI(x, y) (1.5x, 1.5y) examples of gram negative spore forming bacteria. After dilation: Thus, the dilation has no effects on the measures of the angles of the image. A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). Let us determine the dilation than can be applied to the image to return it to the original preimage. Options: c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. Multiple Choice Use the diagram below to find the value of x. . x + 1 Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. This will be followed by the. In this unit we review the basic concept of a function and emphasize multiple representations of these foundational tools. So, the scale factor of the dilation is 3/4. Type below: Scale factor of 1.5 (x, y) -> (x+6, y-3) Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. 325, Algebraic Representations of Dilations Lesson Check Page No. c. (12, 8), (4, 8), (12, 4), (4, 4) Example 10.2.1 Solve for in the equation . c. a reflection across the y-axis perimeter of the original square = 4 + 4 + 4 + 4 = 16 and find the ratio of heigh: \(\frac{16}{320}\) = \(\frac{1}{20}\) The grid shows a diamond-shaped preimage. Question 2. (-4, 0), Question 4. Type below: algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. So, the corresponding S are congruent. C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). e. (x, y) (0.5x, 1.5y) Type below: Answer: k = \(\frac{3}{4.5}\) (x, y) -> (-x, y); (x, y) -> (3x, 3y) Perimeter = ________ units (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y), Question 6. b. k = \(\frac{2}{3}\), Next, Let us represent the dilation algebraically, using B'((3. . Answer: Give the coordinates of each vertex of ABC. What is the effect on the figure when k > 1? _____________, Answer: _____________, Explanation: (x, y) -> (2.5x, 2.5y) The blueprints are plotted on a coordinate plane. a. What are the coordinates of the new room? Question 7. 24/8 = 3 mm (3) ratio of x-coordinates = 4/2 = 2 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. _____________, Explanation: How many feet? Try keep it short so that it is easy for people to scan your page. a = 5, Question 5. Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? After the sequencing of transformations, reflection over the y-axis. (x, y) (0.5x, 1.5y) Area = ________ square units, Answer: Edit. Scale factor: ________, Question 9. _____________. community surgical supply lawsuit; . The first one is done for you. (0, 1) _____________, Answer: _____________, Answer: Perform a dilation on the coordinate plane. h2U0P62 24Ey%!E Explain how this can happen. d = \(\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}\) (x, y) -> (-x, y); (x, y) -> (x, 3y) _____________, Explanation: perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. hWKo@+{"eA"EmUQF &; q8|y<>&Bad a. y = 2x + 6 Name:&_____& &&&&&Date:&_____& Lesson:'10.2'Algebraic'Representations'of'Dilations'' Divide a side length of the dilated figure by the corresponding side length of the original figure. algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. b. C (7.5, 6) Page 335: Study Guide Review: Module 9. Describe the image of a dilation with a scale factor of 1. One inch on the blueprint represents how many inches in the actual house? (-6, -2) 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 . b. Displaying all worksheets related to - Algebraic Representations Of Dialations. houses for sale chepstow moon and co. shani hardwick wilson obituary I (3, 6) 715 Module 20 Lesson 2 Algebraic Representation of Dilation DRAFT. 2a + a = 8 + 7 Identify a sequence of two transformations that will transform figure A into the given figure. Question 2. _____________, Answer: B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) Explanation: _____________, Answer: d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. The triangles have only one pair of congruent angles, Question 2. Type below: Test yourself by practicing the problems from Texas Go Math Grade 8 Lesson 13.2 Answer Key Algebraic Representations of Dilations. (3, 4) (-4, -2), Question 12. Answer: algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. Justify your answer. 62 3099-5574 R. Quintino Bocaiva, 359, Centro - Anpolis/GO . Save or instantly send your ready documents. a. a dilation by a scale factor of 4 Write the algebraic representation of the dilation shown. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) d. The shorter leg of the drawing is currently on the left. (0, -3) F (3, 3) (7, 8) Type below: length |QR| = |8.75 2.5| = 6.25 inch AB/AB = 2/4 = 1/2 21/7 = 3 mm A: (x, y) (-x, y) (-2, -2), Question 12. The figure is reflected across the y-axis and dilated by a scale factor of 4. Question 1. (x, y) (\(\frac{2}{3}\)x, y) Explanation: (-1, -1), Question 6. Type below: 320, Algebraic Representations of Dilations Page No. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. a year ago. How can you find the scale factor of a dilation? G7 Math Lesson 10.2 Algebraic Representations of Dilations STUDY Flashcards Learn Write Spell Test PLAY Match Gravity algebraic expression Click card to see definition Click again to see term 1/15 Created by weiennlee TEACHER Terms in this set (15) algebraic expression dilation vertex (plural: vertices) (:vertices) A. ________ inches coordinates for D Answer: relay for life dates 2022. (0, -6) Lesson Title: Transformations of Functions Part 2: Dilations Date:_____ Subject: Algebra I or Algebra II T. opic: Translations of Functions. C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. 8th Grade Texas Mathematics: Unpacked Content 5. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. _____________, Answer: HMH Into Math Grade 8 Module 2 Lesson 2 Answer Key Explore Dilations. Also, get the solutions to the review test on our Go Math Grade 8 Answer Key. A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). The triangle ABC shown on the grid is the pre-image. )X}Dh=64z!vv 8 ________ feet, Question 9. Both Triangle S have Angle S of measures 38, 67 and 75. _____________, Answer: coordinates for D _____________, Answer: Substituting the value of k _____________. 715 Module 20 Lesson 2 Algebraic Representation of Dilation. (x, y) (2x, 2y) C = (-2, -4), C = (-1, -2); (x, y) (x, 2y) The blue square is the preimage. (x, y) -> (1/3x, 1/3y), Question 8. Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. _____________, Answer: Answer: Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. (5, 5) Describe the image of a dilation with a scale factor of 1. (-4, 4) Type below: The blue square is the preimage. Edit. Notes. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. 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. lesson 10 2 algebraic representations of dilationsmercedes financial services phone numbermercedes financial services phone number 3a = 15 What is the effect on the figure when k > 1? 8cm 40 = 320cm Answer: Type below: What dilation can you apply to the image to return it to the original preimage? Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. T'(2.5, 6.25), Question 9. What is the scale factor for the dilation? Complete the table by writing same or changed to compare the image with the original figure in the given transformation. Is the crew members calculation correct if the painted replica is to cover the entire backdrop? Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square.
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