lesson 10 2 algebraic representations of dilations

_____________, Explanation: Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. Graph the dilation. Label each image with the 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) c. (x, y) (x, 2y) lesson 10 2 algebraic representations of dilations; x 2 perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. How many feet? (x, y) (0.5x, 1.5y) (x, y) (y, -x) After dilation (-1, -1) Answer: C: (x, y) (x 5, y 6) Emathinstruction Algebra 1 Unit 10 Answer Key. each side of the second figure is 1.25 times the corresponding side of the original figure. After dilation: _____________, Explanation: The center of dilation is the origin. Describe how the graph of y = x shown at the right is changed through each of the following transformations. Type below: Mod20-2Notes. The dilation should be centered at 9, negative 9, and have a scale factor of 3. Algebraic Representations Of Dialations Worksheets - total of 8 printable worksheets available for this concept. Type below: On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). _____________, Answer: Type below: Answer: 1. (-4, 2) B: Rotate the square 180 around the origin. 715 Module 20 Lesson 2 Algebraic Representation of Dilation. The scale factor is \(\frac{1}{4}\) (7, 8) Triangle XYZ has angles measuring 54 and 29. a. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Type below: _____________, Answer: 320, Algebraic Representations of Dilations Page No. Blueprint dimensions: 6.25 in. Mike DeVor. (x, y) -> (-x, y); (x, y) -> (3x, 3y) 2 Perrino 2011-11-28 The Practice of Perioperative Transesophageal Echocardiography provides over 100 teaching cases ranging from the most common to the most challenging. (-2, 1) In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. Explanation: What is the scale factor in terms of inches to inches? Then write an algebraic rule to describe the dilation. Page 337: Study Guide Review: Module 10. Apply each transformation to the image of the previous transformation. Triangle RST has angles measuring 38 and 75. e. What are the dimensions of the new room, in inches, on the blueprint? Triangle XYZ has angles measuring 29 and 92. (x, y) -> (-x, y); (x, y) -> (3x, 3y) Type below: The homeowner wants this room to be 25% larger. 1/3x = 1 Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. Displaying all worksheets related to - Algebraic Representation Of Dialation. Coordinates after dilation Determine whether one figure is a dilation of the other. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: _____________, Answer: 324, Algebraic Representations of Dilations Page No. Scale factor: _________ 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. Question 6. Write the coordinates of the vertices of the preimage in the first column of the table. (5, 5) 2. Echocardiography technique, hWKo@+{"eA"EmUQF &; q8|y<>&Bad S'(8.75, 6.25), Multiply each coordinate of the vertices of rectangle QRST by 125% = \(\frac{125}{100}\) = \(\frac{5}{4}\) to find the vertices of the dilated image. a. The coordinates of the vertices of the original image are multiplied by \(\frac{1}{2}\) for the purple square. Graph the image of the figure using the transformation given. (-7, -4) coordinates for A The triangles have only one pair of congruent angles, Question 2. A'((3.-15), (3.-12)) -> A'(-15, -12) perimeter of the original square = 4 + 4 + 4 + 4 = 16 The figure and its final image are congruent. 325. What dilation can you apply to the image to return it to the original preimage? A(1, 5) A'( 2 1, 2 5) A'(- 2,- 10) .. (1) B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) R'(8.75, 2.5), (3, 4) So, the scale factor of the dilation is 3/4. 21/7 = 3 mm (2, -1) (-4, 2) 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 . 2 = 4. b. a = \(\frac{1}{3}\) y = -1/3 . scale factor = 3, Explanation: Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. Thus, the dilation that you can apply to the image to return it to the original preimage with center (0, 0) and scale factor k s to dilate the image by the scale factor \(\frac{1}{k}\), Question 9. y = -1/3 . How does multiplying a constant by the x variable of a function affect its graphical representation? Find the scale factor and the perimeter of each square. Type below: The blue square is the preimage. Answer: Graph the image of each figure after a dilation with the origin as its center and the given scale factor. e. (x, y) (0.5x, 1.5y) a. 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. figure D What are the coordinates? _____________. Worksheets are Algebraic representati. After dilation Dilation is a process of changing the size of an object while the object remains in the same Shape. Type below: (x, y) -> (x, -y) d. The shorter leg of the drawing is currently on the left. Type below: D. Sketch the image after the dilation on the coordinate grid. (3) The backdrop scale factor is 1/20, not 1/12, Question 12. B. Rotate the drawing 180 around the origin. Which equation does not represent a line with an x-intercept of 3? _____________, Answer: Type below: ratio of x-coordinates = -2/-1 = 2 Reflection over x-axis (x, y) -> (x, -y) (x, y) -> (-x, y), Question 11. Perimeter = 32 units Area = 64 square units, Explanation: This will be followed by the. each side of the second figure is 1.25 times the corresponding side of the original figure. 18/4 = 4.5 mm d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. Question 7. B'(6, 18) h2S0PP02]KsSJ Tu! Answer: 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. coordinates for B Type below: Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. MN = \(\sqrt{9}\) _____________, Answer: After calculating the coordinates, we can graph every point of the image after dilation and connect them to get the wanted figure. lesson 10 2 algebraic representations of dilations. If the scale factor is greater than 1, the image is an enlargement. Type below: AB/AB = 2/4 = 1/2 ADDITIONAL EXAMPLE 1. (Explore Activities 1 and 2) (-1, -1), Question 6. The square is dilated under the dilation (x, y) (0.25x, 0.25y). Reflect the drawing over the x-axis Explain. Graphical features of functions, including maximums, minimums, intervals of increase and decrease along with domain and range are introduced. The image is congruent to the original figure. Area = 64 square units, Explanation: Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. 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. Type below: (x, y) (2.5x, 2.5y) 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. c. Write the algebraic representation of the dilation from the blueprint to the house. b. _____________, Explanation: Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. Answer: Example 10.2.1 Solve for in the equation . In this lesson, you will learn multiples of 11. Type below: ratio of y-coordinates = ____________, Answer: Reflection over x-axis (x, y) -> (x, -y) 21.1 Parallel Lines Cut by a Transversal. 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. Original perimeter: _________ Answer: by cfelg. (9, 6), (3, 6), (9, 3), (3, 3), Question 2. What are the vertices of the dilated image? BD/BD = 6/2 = 3 Is the crewmembers calculation correct if the painted replica is to cover the entire backdrop? lesson 10 2 algebraic representations of dilations C'((3. The blueprint is the preimage and the house is the dilated image. The blue square is the preimage. Type below: Answer: Save or instantly send your ready documents. 4), (3.-3)) -> C'(12, -9), Question 7. Answer: (-2, 2) The business owner would like it on the top. Which represents the dilation shown where the black figure is the preimage? Triangle RST has angles measuring 67 and 38. A (0, 4), B (0, 0), C (5, 0) 2. Describe two transformations that will do this. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? The Organic Chemistry Tutor. _____________. What is the scale factor in terms of inches to inches? properties of dilations lesson 10-1 answer key, algebraic representations of dilations lesson 10-2 answers, lesson 17-1 dilations answers, lesson 17-1 practice dilations answers, lesson 10.1 properties of dilations answer key, lesson 11.1 dilations answer key, lesson 4 dilations answer key, lesson 11-1 dilations reteach answers, lesson 17-1 dilations answers page 247, lesson 13.1 properties of . Scale factor = 2 A: (x, y) (-x, y) _____________, Explanation: What is the algebraic representation of this dilation? Type below: (show solution) Question 6 (request help) Critical Thinking A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). ______ units, Question 6. Lesson 16 - Combining Dilations (Notes, Key) 10. how to install glue down carpet tiles > calgary obituaries 2021 > lesson 10 2 algebraic representations of dilations. Green square -> (x, y) -> (2x, 2y) Since the center of dilation is (0, 0), you can simply divide all . A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? The homeowner wants this room to be 25% larger. Question 4. a. 6cm 40 = 240cm _____________. Picture below shows the image of the figure before and after dilation. Type below: Two triangles, Triangle 1 and Triangle 2, are similar. Determine whether one figure is a dilation of the other. examples of gram negative spore forming bacteria. Students use algebraic representations of dilations worksheet is a grid units. (-4, -2), Question 12. C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. 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. After the sequencing of transformations, reflection over the y-axis. Type below: y = 3x 1 d. What are the perimeter and area of the image? Question 1. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. Multiply each coordinate by the scale . b. coordinates for C B: Rotate the square 180 around the origin. (x, y) (\(\frac{2}{3}\)x, \(\frac{2}{3}\)y). h24T0P044P06R _____________, Answer: A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). Type below: Type below: Sketch the image of the figure after the dilation. _____________. Type below: Solve a + 7 = 2a 8. The corresponding angles of triangle ABC and triangle ABC are congruent. _____________. 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. 0. Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. Perimeter = 32 units Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) Answer: Triangle RST has angles measuring 67 and 38. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). a. 0 = -1/3 . 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 . C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. Lesson 13.2 Algebraic Representations of Dilations Lesson 13.3 Dilations and Measurement Texas Go Math Grade 8 Module 13 Quiz Answer Key Texas Go Math Grade 8 Unit 5 Study Guide Review Answer Key Texas Go Math Grade 8 Teacher Edition Answer Key Unit 6 Statistics and Samples Module 14 Scatter Plots _____________. Our services run deep and are backed by over ten years of experience. Identify a sequence of two transformations that will transform figure A into the given figure. Answer: Transformations (including Dilations): 16.1 And 16.2 - Quizlet. Translate the image 3 units down and 6 units right and dilate it by a factor of 2 Which equation does not represent a line with an x-intercept of 3? Question 3. Make a Conjecture Options: Original perimeter: _________ What is the scale factor for the dilation? For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). The blue square is the preimage. How many feet? 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 . H (7.5, 6) _____________. The corresponding angles of triangle ABC and triangle ABC are _______. 11,201. Graph the image of the figure using the transformation given. b. T'(2.5, 6.25), Question 9. c. a = 5 Area = ________ square units, Answer: x 2 How would a dilation with scale factor 1 affect the preimage? (0, -6) For scale factors between 0 and 1, the image is smaller than the preimage. _____________, Answer: (-2, 2) 3x = 1 The figure is dilated by a scale factor of 5 and rotated 90 clockwise. ratio of x-coordinates = _______ y = 2/3 . c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. Let x and y be the coordinates of the original image When a dilation n 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 k, that is (0, -4) The blue square ABCD is the preimage. Some dilations are enlargements. Page 338: Performance Tasks. _____________, Question 9. _____________, Question 9. Answer: (0, 4) Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. scale factor = 3, Explanation: rotate 90counterclockwise, Question 4. (x, y) -> (x +5, y-6), Question 3. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). %PDF-1.6 % b. June 5, 2022 Posted by: Category: Uncategorized x + 1 A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) (4, 0) (0, -4) Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. The ratios of the lengths of the corresponding sides are not equal. B'(6, 18) The algebric dilation is (x, y) (48x, 48y). Type below: After dilation: algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. What are the vertices of the image? Type below: A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. How can you use dilations to solve real-world problems? To create the actual sign shown, the drawing must be dilated using a scale factor of 40. You can use dilations when drawing or designing, Question 1. d = \(\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}\) Type below: coordinates for D d. The shorter leg of the drawing is currently on the left. coordinates for B _____________, Answer: (0, 4) a = 5, Question 5. The figure is reflected across the y-axis and dilated by a scale factor of 4. The figure shown on the grid is the preimage. Dilate the triangle with vertices of (2, 2), (4, 6), and (6, 2); a scale factor of 1/2, with the origin as the center of dilation. (0, -4) _____________, Answer: algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. (x, y) (2.5x, 2.5y) Answer: Find the lengths of the sides of the actual sign. The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. View this Page Sketch the image of the figure after the dilation. A (3, 3) algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. h2U0P62 24Ey%!E The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . A(0, 8), B(0, 0), C(10, 0) 3. Which transformation in part c will accomplish this? 2 bedroom house for rent in evanston, il lesson 10 2 algebraic representations of dilations. (-2, 1) Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). c. (x, y) (x, 2y) Graph the image of XYZ after a dilation with a scale factor of \(\frac{1}{3}\) and the origin as its center. MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). Scale factor: 2 What are the coordinates of the new room? . Type below: Describe the transformations that will transform the image back into the original figure. (x, y) -> (-x, y); (x, y) -> (x, 3y) Find the scale factor and the perimeter of each square. The image is congruent to the original figure.

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