lesson 10 2 algebraic representations of dilationsdiscovery special academy middlesbrough jobs

Options: The image is congruent to the original figure. (x, y) (\(\frac{2}{3}\)x, y) The best learning comes with the best learning guide. _____________, Explanation: The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. (0, -4) Answer: 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) (-7, -8) x 2 Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . Type below: coordinates for A Options: d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: b. _____________, Explanation: _____________, Answer: 0 = 3x 1 c. a reflection across the y-axis (-4, 3) 2x = 6 b. (x, y) -> (2x, 2y), Question 9. Question 3. Describe the image of a dilation with a scale factor of 1. A: (x, y) (-x, y) Example 10.2.1 Solve for in the equation . Answer: b. Then write them algebraically. (4, 0) Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. (1, 1) (-2, 0) AB/AB = 6/2 = 3 1/3x = 1 A = (-4, 4), A = (-2, 2); coordinates for C The actual building measures 400 feet long and 320 feet high. T'(2.5, 6.25), Question 9. _____________, Answer: B = (4, 2), B = (2, 1); Question 4. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. For each pair of corresponding vertices, find the ratio of the x-coordinates and the ratio of the y-coordinates. (0, -4) A stage crew member writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. (4, 0) The figure and its final image are congruent. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? T'(2.5, 6.25), Question 9. Type below: _____________, Answer: a. 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. Type below: A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. Your service title Give us a brief description of the service that you are promoting. A valuable lesson for a happy life (2:33 mins) After viewing this, the facilitator will ask the participants to identify the rocks, pebbles and sands in their life. (-5, 0) (7, 8) Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. The scale factor of the dilation is 2. _____________, Explanation: b. a = \(\frac{1}{3}\) Length of MN, given M(4.5, 6), N(9, 6). Triangle XYZ has angles measuring 54 and 29. Type below: houses for sale chepstow moon and co. shani hardwick wilson obituary Page 335: Study Guide Review: Module 9. Justify your answer. Question 1. . A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) In Exercises 710, the transformation of a figure into its image is described. Type below: Question 16. Answer: We have provided the Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity in the pdf format so that you can practice in online and offline mode. Question 2. Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). Apply each transformation to the image of the previous transformation. Page 334: Mixed Review. Highlight key terms and topics. x = 3 Scale factor: _________ scale factor of \(\frac{1}{3}\) The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. This is called a reduction. How many feet? Describe how the graph of y = x shown at the right is changed through each of the following transformations. Green square: (x, y) (2x, 2y) The coordinates of the vertices of the original image are multiplied by _1 2 B (7.5, 3) d. (x, y) (\(\frac{2}{3}\)x, y) For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). 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) b. ________ feet, Question 9. BD/BD = 6/2 = 3 (7, 8) On a computer, Raquel uses polygons and a circle to make a model of the top of London's Big Ben clock . Describe how the graph of y = x shown at the right is changed through each of the following transformations. (2x, 2y) 5. Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. [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. h2V0Pw/+Q0L)0 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. Worksheets are Algebraic representati. Area = 64 square units, Explanation: (-2, 1) algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. Jot down . Type below: A: (x, y) (-x, y) Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). Scale factor: 2 This will be followed by the. y = 3x 1 Question 3. 0 = -1/3 . hWKo@+{"eA"EmUQF &; q8|y<>&Bad -6/-3 =2; 6/3 = 2 lesson 10 2 algebraic representations of dilationsmercedes financial services phone numbermercedes financial services phone number Green square -> (x, y) -> (2x, 2y) The division process is straightforward. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? (-4, -2) To calculate the verticies of the image after dilation, we will use following rule: Dilation Geometry Definition: A dilation is a proportional stretch or shrink of an image on the coordinate plane based on a scale factor. What is the scale factor for the dilation? 320, Algebraic Representations of Dilations Page No. Type below: Type below: (x, y) (y, -x) 332, Big Ideas Math Answers Grade 7 Accelerated, Bridges in Mathematics Grade 4 Home Connections Unit 5 Module 1 Answer Key, Bridges in Mathematics Grade 4 Home Connections Unit 5 Module 2 Answer Key, Bridges in Mathematics Grade 4 Home Connections Unit 5 Module 3 Answer Key, Bridges in Mathematics Grade 4 Home Connections Unit 5 Module 4 Answer Key, Bridges in Mathematics Grade 4 Home Connections Unit 3 Module 4 Answer Key, Bridges in Mathematics Grade 4 Home Connections Unit 3 Module 3 Answer Key, Bridges in Mathematics Grade 4 Home Connections Unit 3 Module 1 Answer Key, Bridges in Mathematics Grade 4 Home Connections Unit 3 Module 2 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 5 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 5 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 5 Module 2 Answer Key. The coordinates of the vertices of the original image are multiplied by \(\frac{1}{2}\) for the purple square. I can describe what happens when two-dimensional figures are transformed using coordinates. Determine whether the given representation is representative of a linear, exponential, or quadratic function. %PDF-1.6 % (x, y) -> (1/4x, 1/4y) Question 4. Write the coordinates of the vertices of the preimage in the first column of the table. Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). Answer: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Find the angle measures of the actual sign. Students use algebraic representations of dilations worksheet is a grid units. (3) In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. c. (x, y) (x, 2y) 325. . ratio of x-coordinates = _______ _____________, Answer: In this lesson, you will learn multiples of 11. (x, y) (y, -x) Type below: _____________, Answer: Algebraic Representation Calculus Absolute Maxima and Minima Absolute and Conditional Convergence Accumulation Function Accumulation Problems Algebraic Functions Alternating Series Antiderivatives Application of Derivatives Approximating Areas Arc Length of a Curve Area Between Two Curves Arithmetic Series Average Value of a Function The actual building measures 400 feet long and 320 feet high. So, to have the best online maths practice, follow the questions, answers, and explanations available on Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity. _____________, Explanation: dilation with a scale factor of 0.5 Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. S'(8.75, 6.25), 13.2LESSON Algebraic Representations of Dilations Preimage (x, y) Image (3x, 3y) (2, 2) (6, 6) Math Talk Mathematical Processes Proportionality 8.3.C Use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of . _____________, Explanation: c. What are the perimeter and area of the preimage? Both Triangle S have Angle S of measures 38, 67 and 75. d. What are the perimeter and area of the image? What is the algebraic representation of this dilation? During the video lesson have students: Take notes on the material. coordinates for C lesson 10 2 algebraic representations of dilations 12th June 2022 . What is the effect on the figure when k > 1? 24/8 = 3 mm (0, -3) B'(6, 18) x + 1 x = 3 ratio of x-coordinates = _______ Since the center of dilation is (0, 0), you can simply divide all . (5, 5) (x, y) -> (1/5x, 1/5y), Question 10. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). perimeter of the original square = 4 + 4 + 4 + 4 = 16 (0, 4) horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. What dilation can you apply to the image to return it to the original preimage? Which transformation in part c will accomplish this? Algebraic Representation Of Dialation | Lesson 2 22 | Cryptic Quiz Page 41 | Count Classify Furniture | Weeky Math Review Q32 | Memo Types | 3 Letter Notation | Math P3 | Inferencing 3 | The Arthritis Menace Reading Answer | R 10 8 | Fragments And Sentences | Nothing Details | Gina Wilson Answer Key | Statistics Grade 1 | Persuasive Language . S'(8.75, 6.25), a. y = 2x + 6 BD/BD = 6/2 = 3 What dilation can you apply to the image to return it to the original preimage? Write the coordinates of the vertices of the preimage in the first column of the table. What is Dilation? Describe two transformations that will do this. Which represents the dilation shown where the black figure is the preimage? Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. 3a = 15 2. Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, 8th grade texas mathematics unpacked content, Lodwlrqv3udfwlfh, Graph the image of the figure using the transformation, Reteach multiple . (9, 6), (3, 6), (9, 3), (3, 3) On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). scale factor = 3, Explanation: Find the scale factor and the perimeter of each square. The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). Determine whether one figure is a dilation of the other. original coordinates _____________, Explanation: meaning that we will multiply every coordinate with \(\frac{3}{2}\). (x, y) -> (x +5, y-6), Question 3. The triangle ABC shown on the grid is the pre-image. Type below: _____________. _____________. _____________, Answer: The blueprints are plotted on a coordinate plane. Question 16. Graph the image of the figure using the transformation given. b. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Type below: What are the coordinates of the new room? 0 = -2x + 6 Coordinates after dilation 2/3x = 2 _____________, Answer: _____________. In Exercises 710, the transformation of a figure into its image is described. Given M(4.5, 6), N(9, 6), 0(9, 10.5), P(4.5, 10.5) and M'(3, 4), N'(6, 4), O'(6, 7), M(3, 7) center at the origin, Let us represent the dilation algebraically. 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. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. Question 6. Is the crewmembers calculation correct if the painted replica is to cover the entire backdrop? After dilation examples of gram negative spore forming bacteria. scale factor of \(\frac{1}{3}\) _____________, Explanation: _____________. A. Type below: x 2 (2, -2) Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. After the sequencing of transformations, reflection over the y-axis. Considering the fact that the y coordinate stayed the same and the fact that x coordinate is multiplied with a number smaller then 1, we can conclude that given figure is horizontally shrinked. 10cm 40 = 400cm Q'(2.5, 2.5), perimeter of the original square = 6 + 6 + 6 + 6 = 24 _____________, Answer: Name:&_____& &&&&&Date:&_____& Lesson:'10.2'Algebraic'Representations'of'Dilations'' H (7.5, 6) (Example 1). Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. _____________, Answer: Date Class LESSON Algebraic Representations of Dilations Reteach You dilate a figure using the origin as the center of . How does the dilation affect angle measures? y = -1/3 . No; one figure is not a dilation of the other, Explanation: A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). coordinates for A ratio of x-coordinates = 2 In the given expression, we can notice that the y coordinate is multiplied with 2 Considering the fact that the x coordinate stayed the same and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is vertically streched. _____________, Answer: What is the effect of a negative scale factor? (x, y) -> (1.5x, 1.5y) (x, y) -> (-x, y); (x, y) -> (x, 3y) Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. 8cm 40 = 320cm The corresponding angles of triangle ABC and triangle ABC are congruent. _____________. _____________, Answer: (x, y) (x, 2y) Explain how this can happen. What are the vertices of the dilated image? 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. Type below: OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p endstream endobj 133 0 obj <>stream ratio of y-coordinates = -4/-2 = 2, Question 2. Multiply each coordinate of the vertices of triangle ABC by \(\frac{1}{3}\) to find the vertices of the dilated image. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Participants need to fill out: The first page . Type below: c. The drawing has the hypotenuse on the bottom. Type below: Is the crew members calculation correct if the painted replica is to cover the entire backdrop? A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). Question 1. Answer: The stage crewmembers calculation is incorrect. Coordinates after dilation _____________, Question 9. ratio of y-coordinates = 2, Explanation: C'(12, -9), Explanation: _____________, Explanation: Area = ________ square units, Answer: (-3, -8) If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. The blueprints are plotted on a coordinate plane. On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). Triangle XYZ has angles measuring 54 and 29. (7, 4) Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity Online PDF to help the students to practice maths. H(5, 4) H'(5 1.5, 4 1.5) H'(7.5, 6) (4) (0, 4) _____________, Question 12. MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). 7. a. scale factor = 1/2, Question 19. Image perimeter: 48, Explanation: Triangle XYZ has angles measuring 29 and 92. (x, y) -> (1.5x, 1.5y) 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. c. a = 5 c. What are the perimeter and area of the preimage? (4, 0) endstream endobj 131 0 obj <>stream LESSON 10-2 Practice and Problem Solving: A/B 1. Scale factor: _________ Type below: ratio of x-coordinates = -4/-2 = 2 Type below: C (7.5, 6) The lengths are 240 cm, 320 cm, and 400 cm, Question 6. 325, Algebraic Representations of Dilations Lesson Check Page No. Reflect the drawing over the x-axis Graph the image of each figure after a dilation with the origin as its center and the given scale factor. Answer: Lesson Title: Transformations of Functions Part 2: Dilations Date:_____ Subject: Algebra I or Algebra II T. opic: Translations of Functions. Graph the image of the figure using the transformation given. The blue square ABCD is the preimage. 77% average accuracy. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. _____________, Answer: (-7, -4) a dilation produces an image similar to the original figure, Question 10. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. d. a = 15, Explanation: a. List the coordinates of the vertices of the preimage in the first column of the table. Area = 64 square units, Explanation: 8th Grade Texas Mathematics: Unpacked Content 5. (x, y) -> (-y, x) The corresponding angles of triangle ABC and triangle ABC are _______. _____________, Answer: d. The shorter leg of the drawing is currently on the left. 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. _____________, Explanation: What is the length of a side of the image? The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. 5/2 = 2.5 (x, y) (x, 2y) Solve a + 7 = 2a 8. _____________, Answer: k = \(\frac{M^{\prime} N^{\prime}}{M N}\) Question 2. Type below: _____________, Answer: 1. What will the dimensions of the new room be, in feet, in the new house? Slideshow 9531631 by helencorman 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 . coordinates for A Explanation: Apply the indicated sequence of transformations to the square. How would a dilation with scale factor 1 affect the preimage? Type below: _____________, Answer: A_____ B_____ C_____ 2. After dilation 37, 53, and 90, Question 6. Properties of Dilations Lesson Check Page No. What is the algebraic representation of this dilation? Save or instantly send your ready documents. (Explore Activities 1 and 2) The figure is reflected across the x-axis and dilated by a scale factor of 3. Identify the scale factor used in each dilation. The business owner would like it on the top. A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). Options: Explanation: (-4, 4) Type below: (show solution) Question 6 (request help) Critical Thinking A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). How many feet? coordinates for B Write the algebraic representation of the dilation shown. Scale factor = 2 (-1, 1) For enlargements, k > 1. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. 326, Similar Figures Lesson Check Page No. 325, Algebraic Representations of Dilations Lesson Check Page No. Type below: AB/AB = 6/2 = 3 There must be an even number of dilations and for each dilation applied to the figure, a dilation that has the opposite effect must be applied as well. Which equation does not represent a line with an x-intercept of 3? Type below: Answer: Dilate each figure with the origin as the center of dilation. Answer: Algebraic Representations of Dilations - 2. (-4, 2) NFTs Simplified > Uncategorized > lesson 10 2 algebraic representations of dilations. Picture below shows the image of the figure before and after dilation. The figure is reflected across the y-axis and dilated by a scale factor of 4. (x, y) -> (x+3, y+5), Question 5. Type below: _____________, Answer: k = \(\frac{3}{4.5}\) Each case is succinctly presented in an easy-to-read question-answer, self-test format comprised of three printed pages of text and echo images. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . Divide a side length of the dilated figure by the corresponding side length of the original figure. AB/AB = 2/4 = 1/2 algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. a. Options: lesson 10 2 algebraic representations of dilations. (5, -3), Question 5. letter of the transformation applied. Question 9. ________. How can you find the scale factor of a dilation? The business owner wants it to remain on the left after the hypotenuse goes to the top. (x, y) (2x, 2y) Answer: Type below: The blueprint is the preimage and the house is the dilated image. (-2, -2), Question 12. lesson 10 2 algebraic representations of dilations; ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. (-3, -4) _____________, Explanation: _____________, Answer: How does the dilation affect the length of line segments? Explain how this can happen. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). Properties of Dilations Lesson Check Page No. Type below: _____________, Question 9. Try keep it short so that it is easy for people to scan your page. Answer: Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. Then write them algebraically. The center of dilation is the origin. Image perimeter: _________, Answer: Type below: 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: 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 . A(0, 8), B(0, 0), C(10, 0) 3. e. (x, y) (0.5x, 1.5y) _____________, Answer: c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. a. a dilation by a scale factor of 4 (x, y) -> (x, y+6) *Click on Open button to open and print to worksheet. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). (2, -1) _____________, Answer: Scale factor: _________ (0, -6) Download Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity pdf for free of cost. Type below: 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. _____________, Answer: e. (x, y) (0.5x, 1.5y) 324, Algebraic Representations of Dilations Page No. ________ inches Then write an algebraic rule to describe the dilation. A'((3.-15), (3.-12)) -> A'(-15, -12) x 2

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