a. Graph the image. The ratios of the lengths of the corresponding sides are not equal. Answer: d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: perimeter of the original square = 6 + 6 + 6 + 6 = 24 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. (5, 5) Type below: The Organic Chemistry Tutor. Graph the image of the figure using the transformation given. (-1, -1) Question 7. by 3.75 in. The angle measures are the same Options: 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. Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? _____________, Answer: a. 6cm 40 = 240cm The center of dilation is the origin. A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. You will have an extra practice for every lesson in the IM math program. Translate the image 3 units down and 6 units right and dilate it by a factor of 2 Answer: b. Original perimeter: _________ 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. (x, y) -> (-x, y); (x, y) -> (3x, 3y) Type below: (0, 4) hdPn0d $RE=LCR!cVmPH%K "?/2OGO7}`+ % R9}t$9plj`H:nH!Q)"p.4jb sH?yu_^DX ro)B \F}c]y?aGC_j>m3TF}};{{L;?O 5^dI Firstly, we will write the coordinates of the vertices of the preimage. Notes. (4, 0) C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . Question 2. Properties of Dilations Lesson Check Page No. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? Scale factor: 2 1. . Type below: The blueprints are plotted on a coordinate plane. endstream endobj 134 0 obj <>stream Type below: (x, y) -> (-x, y), Question 11. (x, y) -> (x, -y) (x, y) -> (-x, y); (x, y) -> (x, 3y) The center of dilation is the origin. (-1, -1) h2W0P+-60rb X;; | _____________, Answer: More lesson videos. Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. (0, -6) 20.3 Similar Figures. When k is between 0 and 1, the dilation is a reduction by the scale factor k. Try keep it short so that it is easy for people to scan your page. MN = \(\sqrt{(4.5)^{2}+(0)^{2}}\) a. 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. Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. The scale factor of the dilation is 2. Write the coordinates of the vertices of the preimage in the first column of the table. The figure and its final image are congruent. Type below: Is the crew members calculation correct if the painted replica is to cover the entire backdrop? Answer: Scale factor: _________ Is the crewmembers calculation correct if the painted replica is to cover the entire backdrop? Worksheet by kuta software llc. (x, y) -> (1.5x, 1.5y) Question 6. When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. a year ago. Type below: Perimeter = 2l + 2w = 2(8) + 2(8) = 32 _____________, Answer: After calculating the coordinates, we can graph every point of the image after dilation and connect them to get the wanted figure. (x, y) -> (1/5x, 1/5y), Question 10. _____________, Explanation: _____________, Answer: Properties of Dilations Lesson Check Page No. A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). lesson 10 2 algebraic representations of dilations ________. A = (-4, 4), A = (-2, 2); Page 335: Study Guide Review: Module 9. c. (x, y) -> (x, -y); (x, y) -> (3x, y) S'(8.75, 6.25), _____________, Answer: _____________, Answer: Type below: a. Look at the coordinates of corresponding vertices. D. Sketch the image after the dilation on the coordinate grid. Type below: _____ Answer: Green square -> (x, y) -> (2x, 2y) e. What are the dimensions of the new room, in inches, on the blueprint? Mathematics. Perform a dilation on the coordinate plane. 3a = 15 Sketch the image of the figure after the dilation. Identify the scale factor used in each dilation. How can you use dilations to solve real-world problems? C (7.5, 6) (7, 8) (-4, 0), Question 4. Coordinates after dilation Question 16. After dilation: b. _____________, Answer: ! " Problem 2 : The triangle ABC shown on the grid is the pre-image. ________. House dimensions: 25ft by 15ft, Question 10. 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. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) a. (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) (-1, 1) Triangle RST has angles measuring 38 and 75. The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). . (x, y) -> (2.5x, 2.5y), Question 3. (-2, -2), Question 12. If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. (x, y) -> (-x, y); (x, y) -> (3x, 3y) Determine whether one figure is a dilation of the other. Type below: 15/5 = 3 mm Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. Some dilations are enlargements. scale factor of 1.5 c. (x, y) (x, 2y) The backdrop scale factor is 1/20, not 1/12, Question 12. Explain your reasoning. The square is dilated under the dilation (x, y) (0.25x, 0.25y). %PDF-1.6 % The business owner wants it to remain on the left after the hypotenuse goes to the top. _____________, Answer: x = 3 c. (x, y) -> (3x, 3y) On a computer, Raquel uses polygons and a circle to make a model of the top of London's Big Ben clock . coordinates for B -a + 7 = 2a 8 What is the effect on the figure when k > 1? _____________, Answer: The students of 8th standard can easily learn maths with the Go Math Solution Key on ccssmathanswers.com, Lesson 2: Algebraic Representations of Dilations, Question 1. Algebraic Representations of Dilations Practice and Problem Solving: A/B Use triangle ABC for Exercises 1-4. c. (x, y) (x, 2y) After dilation Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. _____________, Answer: Cursos focados em mquinas pesadas. (x, y) -> (2.5x, 2.5y) Type below: community surgical supply lawsuit; . Type below: scale factor of 1.5 _____________, Answer: ratio of x-coordinates = 2 Type below: d. (x, y) (\(\frac{2}{3}\)x, y) Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. After dilation 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. The division process is straightforward. Question 12. Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. d. (x, y) (\(\frac{2}{3}\)x, y) No; one figure is not a dilation of the other, Explanation: Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p (9, 6), (3, 6), (9, 3), (3, 3), Question 2. (1, -1). (2x, 2y) 5. When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. Type below: 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). D. Sketch the image after the dilation on the coordinate grid. (-2, 0) Find the scale factor and the perimeter of each square. 11,201. Green square: (x, y) (2x, 2y) The coordinates of the vertices of the original image are multiplied by _1 2 h2U0P62 24Ey%!E (-1, 1) What is the effect of a negative scale factor? Reflection over x-axis (x, y) -> (x, -y) x = 1/3, Question 6. Original perimeter: 16 0 = -1/3 . coordinates for A To calculate the verticies of the image after dilation, we will use following rule: translation 2 units left and 2 units up, Question 6. lesson 10 2 algebraic representations of dilations. ________ feet, Question 9. (-4, -2), Question 12. 1/3x = 1 Algebraic Representations of Dilations Success for English Learners A dilation changes the size of a figure without changing its shape. Find the scale factor and the perimeter of each square. I(2, 4) I'(2 1.5, 4 1.5) I'(3, 6) (3) Q'(2.5, 2.5), _____________, Answer: Options: Question 12. 10.2 Algebraic Representations of Dilations. Question 2. The corresponding angles of triangle ABC and triangle ABC are _______. d. (x, y) (\(\frac{2}{3}\)x, y) a dilation produces an image similar to the original figure, Question 10. Dilation Geometry Definition: A dilation is a proportional stretch or shrink of an image on the coordinate plane based on a scale factor. ______ units, Question 6. 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. Type below: d. a = 15, Explanation: Options: Length of MN, given M(4.5, 6), N(9, 6). -4/-2 =2; 4/2 = 2 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. Answer: _____________, Explanation: _____________, Answer: In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). Type below: Lesson 2: 20.2 Algebraic Representations of Dilations. The center of dilation is the origin. Question 3. Triangle XYZ has angles measuring 29 and 92. B'((3. algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. a. 18/4 = 4.5 mm Answer: Explanation: Answer: Answer: The homeowner wants this room to be 25% larger. So, the corresponding S are congruent. Question 8. _____________, Answer: A'(-15, -12), B'(6, 12) and C'(12, -9). ratio of y-coordinates = 2, Explanation: Your service title Give us a brief description of the service that you are promoting. A. Answer: (x, y) -> (1.5x, 1.5y) Question 5. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). Question 1. d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: One inch on the blueprint represents how many inches in the actual house? 2), (3.6)) -> B'(6, 18) how to install glue down carpet tiles > calgary obituaries 2021 > lesson 10 2 algebraic representations of dilations. (x, y) -> (1/4x, 1/4y) h2S0PP02]KsSJ Tu! MNPQ is not a dilation of MNPQ, Explanation: Mike DeVor. Explanation: c. a reflection across the y-axis (x, y) (0.8x, 0.8y) _____________. c. Write the algebraic representation of the dilation from the blueprint to the house. The blue square is the preimage. Multiple Choice Use the diagram below to find the value of x. . B(-2, 1) B'( 2 ( 2), 2 1) B'(4, -2) .. (2) Since the center of dilation is (0, 0), you can simply divide all . endstream endobj 133 0 obj <>stream 10.2 Algebraic Representations of Dilations. 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. ratio of y-coordinates = 2, Explanation: relay for life dates 2022. Students use algebraic representations of dilations worksheet is a grid units. C(3, 9) C'(3 \(\frac{1}{3}\), 9 \(\frac{1}{3}\)) C'(1, 3) (3) Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? _____________, Answer: (0, -6) (-2, 1) A dilation with center (0, 0) and scale factor k is applied to a polygon. ratio of x-coordinates = -2/-1 = 2 Graph the image of each figure after a dilation with the origin as its center and the given scale factor. a. a dilation by a scale factor of 4 What is the length of a side of the image? Yes; Quadrilateral DEFG is a dilation of quadrilateral DEFG. Question 7. c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. _____________. What is the length of a side of the image? scale factor = 3, Explanation: Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. Type below: x 2 2 = 4. algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. coordinates for B A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? What are the vertices of the dilated image? _____________, Answer: Question 3. Then write an algebraic rule to describe the dilation. d. y = 3x 1, Explanation: Image perimeter: _________, Answer: MN/MN = 3/4.5 = 2/3 What is the algebraic representation of this dilation? . Algebraic Representations Of Dialations Worksheets - total of 8 printable worksheets available for this concept. _____________, Question 12. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . a. The blue square is the preimage. A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). 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. Graph the image of the figure using the transformation given. The actual building measures 400 feet long and 320 feet high. 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. _____________, Answer: (x, y) -> (-y, x) 4), (3.-3)) -> C'(12, -9), Question 7. ratio of x-coordinates = 4/2 = 2 (3, 8) The figure is dilated by a scale factor of 5 and rotated 90 clockwise. a. y = 2x + 6 Answer: horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. 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. Type below: Type below: A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). Type below: (5, 5) (5, -3), Question 5. A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) Type below: Type below: Question 3. All the explanations are given by the best online maths experts. Which equation does not represent a line with an x-intercept of 3? A: (x, y) (-x, y) The corresponding angles of triangle ABC and triangle ABC are congruent. Explain how this can happen. ratio of y-coordinates = _______ Graph the image of each figure after a dilation with the origin as its center and the given scale factor. Type below: Triangle RST has angles measuring 67 and 38. -6/-3 =2; 6/3 = 2 4), (3.-3)) -> C'(12, -9), Question 7. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. _____________, Answer: 10cm 40 = 400cm Reflection over x-axis (x, y) -> (x, -y) The center of dilation is the origin and (x, y) (3x, 3y). (-2, 0) Options: a = 15/3 Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. R'(8.75, 2.5), C = (-2, -4), C = (-1, -2); Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. C: (x, y) (x 5, y 6) A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. Type below: Original perimeter: 24 _____________. 10-2. lesson. 0 = 2/3 . 10.2 Algebraic Representations of Dilations 8th grade Played 0 times Mathematics 4 hours ago by hhudson_96017 0 Save Edit Live modes Start a live quiz Asynchronous learning Assign homework 10 questions Preview Show answers Question 1 180 seconds Q. Dilate the figure by a scale factor of 3 with the origin as the center of dilation. (9, 6), (3, 6), (9, 3), (3, 3), Question 2. The scale factor of the dilation is _______. area = l.w = 8 .8 = 64, Question 6. Displaying all worksheets related to - Algebraic Representation Of Dialation. Area = ________ square units, Answer: Scale factor: ________, Question 9. Reflect the drawing over the x-axis There will be no change in their sizes and has no effect in the preimage. \(\frac{-\frac{1}{2}}{-2}=\frac{\frac{1}{2}}{2}=\frac{1}{4}\) The vertices of the dilated image are F'(3.5, 3.5), G'(7.5, 3.5), H'(7.5, 6) and I'(, 9). (2, -1) Area = 4 square units, Explanation: Algebric rule of dilation will be (x, y) (\(\frac{1}{4}\)x, \(\frac{1}{4}\)y), Question 11. Type below: hWKo@+{"eA"EmUQF &; q8|y<>&Bad algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. This standard connects the work done with algebraic functions in grade 8 and Algebra I to geometric functions. 10/4 = 2.5 x + 1 Scale factor: _________ MN = \(\sqrt{9}\) Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Eureka Math Algebra 1 Module 2 Lesson 1 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 2 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 3 Answer Key . (x, y) -> (x+6, y-3) For scale factors between 0 and 1, the image is smaller than the preimage. Perimeter = 2l + 2w = 2(8) + 2(8) = 32 Image perimeter: _________, Answer: (-7, -4) Sketch the image of the figure after the dilation. Answer: A'((3.-15), (3.-12)) -> A'(-15, -12) Picture below shows the image of the figure before and after dilation. a dilation produces an image similar to the original figure, Question 10. Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Lesson algebraic representations of transformations 9 4, Do not edit changes must be made through file info, Pre algebra, Graph the image of the figure using the transformation, Ixl skill alignment, Unit . (-4, -2), Question 12. Type below: b. (0, -4) Graph the image of each figure after a dilation with the origin as its center and the given scale factor. Perimeter = 2l + 2w = 2(2) + 2(2) = 8 The figure is reflected across the y-axis and dilated by a scale factor of 4. c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. c. What are the perimeter and area of the preimage? 8cm 40 = 320cm F (3, 3) (x, y) (y, -x) C = (-2, -4), C = (-1, -2); Displaying all worksheets related to - Algebraic Representations Of Dilations. ratio of x-coordinates = _______ What are the coordinates of the new room? 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 . The business owner would like it on the top. (2, 2) ________. Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). _____________. _____________, Answer: d. a = 15, Explanation: b. What is the algebraic representation of this dilation? (0, -3) The center of dilation is the origin. (x, y) -> (x+3, y+5), Question 5. So, to learn maths in the best way, you must refer to HMH Go Math Grade 8 Solution Key. 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 . %aa2,GGi.O'mUz,gp]'rj} How can you describe the effect of a dilation on coordinates using an algebraic representation?. Write the algebraic representation of the dilation shown. Find the lengths of the sides of the actual sign. a year ago. _____________. Edit. During the video lesson have students: Take notes on the material. scale factor of \(\frac{1}{3}\) Type below: C'((3. Type below: (-2, -2), Question 12. New rectangular room should be 25% larger, so its 125% of previous value. For example, if the scale factor is "k", the algebraic representation of the dilation is For enlargements, k > 1 and for reductions, k Which represents the dilation shown where the black figure is the preimage? (Example 1). A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. The scale factor of the dilation is 2. Describe two transformations that will do this. 15/5 = 3 mm rotate 90counterclockwise, Question 4. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). C(4, -3) C'(3 4, 3 (-3)) C'(12, -9) .. (3) Image perimeter: 48, Explanation: The dimension of a new room on a blueprint is now: Question 2. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. Worksheets are Algebraic representati. (x, y) -> (x+3, y+5), Question 5. y = -2x + 6 c. a reflection across the y-axis perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. Question 4. b. Type below: (x, y) -> (-x, y); (x, y) -> (x, 3y) A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). (-4, 4) Algebra Review. a. y = 2x + 6 (4, 0) Type below: BD/BD = 6/2 = 3 Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). (x, y) -> (-x, y), Question 11. Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. y = 2/3 . C'((3. T'(2.5, 6.25), Question 9. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Type below: d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). (0, 4) The corresponding angles of triangle ABC and triangle ABC are congruent. Scale factor: 2 Options: LESSON 10-2 Practice and Problem Solving: A/B 1. What is the scale factor in terms of inches to inches? Type below: d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: a. Critical Thinking MNOP has vertices at M'(3, 4), N'(6, 4), O'(6, 7), and P'(3, 7). a. Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. MNOP has vertices at M(4.5, 6), N(9, 6), O'(9, 10.5), and P'(4.5, 10.5). House dimensions: 25ft by 15ft, Question 10. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. _____________, Answer: Some dilations are reductions. If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. After the sequencing of transformations, reflection over the y-axis. Type below: Type below: A(1, 5) A'( 2 1, 2 5) A'(- 2,- 10) .. (1) x + 1 A'(-15, -12) (1, -1) Explain. Triangle XYZ has angles measuring 54 and 29. Explanation: F (3, 3) _____________, Question 9. (x, y) -> (x, -y) Then write an algebraic rule to describe the dilation. 5/2 = 2.5 Scale factor = 2 The measures of the angles of dilated figures remains the same as the original image. Answer: Perimeter = ________ units Answer: Answer: Mod 20-2 Class Problems. (-4, 3) Both Triangle S have Angle S of measures 38, 67 and 75. d = \(\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}\) G (7.5, 3) What are the coordinates of the new room? How can you use dilations to solve real-world problems? Multiply each coordinate by the scale . _____________, Explanation: Page 337: Study Guide Review: Module 10. 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 .
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