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Type below: c. (x, y) (x, 2y) _____________, Answer: Answer: The actual building measures 400 feet long and 320 feet high. _____________, Answer: _____________, Question 9. lesson 10 2 algebraic representations of dilations. 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. The center of dilation is the origin and (x, y) (3x, 3y). Justify your answer. MN = \(\sqrt{20.25}\) Question 3. LESSON 10-2 Practice and Problem Solving: A/B 1. Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . coordinates for B Mod 20-2 Class Problems. How many feet? _____________, Question 9. When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. Two triangles, Triangle 1 and Triangle 2, are similar. c. a reflection across the y-axis (x, y) -> (2.5x, 2.5y), Question 3. (1, -1) x = 3 dilation by scale factor of 3 (x, y) -> (3x, 3y) A = (-4, 4), A = (-2, 2); Question 12. Rotate the drawing 180 around the origin. figure C Original perimeter: _________ BD/BD = 6/2 = 3 Divide a side length of the dilated figure by the corresponding side length of the original figure. d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. 8th grade. Type below: What is Dilation? Dilate each figure with the origin as the center of dilation. B: Rotate the square 180 around the origin. (x, y) -> (x, -y) Displaying all worksheets related to - Algebraic Representation Of Dialation. Section 10.3: Similar Figures. Area = 4 square units, Explanation: (1, 1) y = -2x + 6 Area = 64 square units, Explanation: Graph the image of the figure using the transformation given. Answer: _____________. b. House dimensions: 25ft by 15ft, Question 10. (0, -4) ratio of y-coordinates = 2, Explanation: B'((3. Page 338: Performance Tasks. Type below: The blue square is the preimage. The blueprint is the preimage and the house is the dilated image. (3) The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. _____________, Answer: Critical Thinking MNOP has vertices at M'(3, 4), N'(6, 4), O'(6, 7), and P'(3, 7). _____________, Answer: The scale factor of the dilation is 2. _____________. Find the scale factor and the perimeter of each square. Write the coordinates of the vertices of the preimage in the first column of the table. For example, if the scale factor is k, the algebraic representation of the dilation is AB/AB = 6/2 = 3 324, Algebraic Representations of Dilations Page No. 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. Original perimeter: 24 d. What are the perimeter and area of the image? So, the scale factor of the dilation is 3/4. (-4, -2) algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) [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. Question 5. Question 16. ________. The Go Math Grade 8 Solution Key Chapter 10 Transformations and Similarity help the students to enhance their math skills. e. What are the dimensions of the new room, in inches, on the blueprint? OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p C: (x, y) (x 5, y 6) _____________, Explanation: The measures of the angles of dilated figures remains the same as the original image. The blueprints are plotted on a coordinate plane. Answer: Worksheet by kuta software llc. (3, 8) a. Graph the image. The arrow shown is the preimage. (x, y) -> (1.5x, 1.5y) Type below: Give the coordinates of each vertex of ABC. R'(8.75, 2.5), x = 2 . a. (-4, 3) c. What are the perimeter and area of the preimage? Type below: For scale factors between 0 and 1, the image is smaller than the preimage. 326, Similar Figures Lesson Check Page No. rotate 90counterclockwise, Question 4. Answer: Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. 715 Module 20 Lesson 2 Algebraic Representation of Dilation DRAFT. The center of dilation is the origin. The figure is reflected across the x-axis and dilated by a scale factor of 3. Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) (0, -4) How does multiplying a constant by the x variable of a function affect its graphical representation? C: (x, y) (x 5, y 6) Is the crew members calculation correct if the painted replica is to cover the entire backdrop? Perimeter = ________ units G (7.5, 3) ______ units, Question 6. _____________, Answer: Substituting the value of k Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). What are the coordinates of the new room? After dilation: Type below: (2, -2) What are the vertices of the dilated image? 4. a. a = -3 Lesson 2: Algebraic Representations of Dilations, Question 1. 2a + a = 8 + 7 (2x, 2y) 5. 5/2 = 2.5 You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. MN/MN = 3/4.5 = 2/3 Question 5. 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 . Complete Lesson 9 4 Algebraic Representations Of Transformations Answer Key online with US Legal Forms. Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? (1, -1) _____________, Answer: (-4, 2) (3, 8) What is the effect on the figure when k > 1? 15/5 = 3 mm algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. The blue square is the preimage. Answer: G (7.5, 3) _____________, Answer: Image perimeter: _________, Answer: You will have an extra practice for every lesson in the IM math program. Explain your reasoning. What is the algebraic representation of this dilation? Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). _____________. NFTs Simplified > Uncategorized > lesson 10 2 algebraic representations of dilations. x = 3 (-1, 1) _____________, Answer: Type below: dilation by scale factor of 3 (x, y) -> (3x, 3y) (-4, -2), Question 12. MN = 3, Now, let us determine the value of k, that is _____________, Answer: x = 3 _____________, Answer: Type below: 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. List the coordinates of the vertices of the preimage in the first column of the table. B(-2, 1) B'( 2 ( 2), 2 1) B'(4, -2) .. (2) Grade: 9, 10, or 11 . (x, y) -> (x+6, y-3) Find the scale factor and the perimeter of each square. Answer: Algebraic Representations of Dilations You dilate a figure using the origin as the center of dilation. (-3, -8) figure C New rectangular room should be 25% larger, so its 125% of previous value. b. Type below: scale factor of \(\frac{1}{3}\) (2, 2) If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. The grid shows a diamond-shaped preimage. dilation with a scale factor of 0.5 b. The actual building measures 400 feet long and 320 feet high. The image is congruent to the original figure. 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 (1, -1). Dilation Geometry Definition: A dilation is a proportional stretch or shrink of an image on the coordinate plane based on a scale factor. _____________, Answer: 10 x 10 = 7 x 2 = 10 x 9 = 5 x 8 = 10 x 3 = How did you do? This standard connects the work done with algebraic functions in grade 8 and Algebra I to geometric functions. Then write an algebraic rule to describe the dilation. B. 0 = 3x 1 each side of the second figure is 1.25 times the corresponding side of the original figure. Lesson 2: 20.2 Algebraic Representations of Dilations. C'(12, -9), Explanation: 0. 10/4 = 2.5 324, Algebraic Representations of Dilations Page No. (0, 1) C: (x, y) (x 5, y 6) The figure and its final image are congruent. c. (12, 8), (4, 8), (12, 4), (4, 4) (-4, -2) 37, 53, and 90, Question 6. A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. Original perimeter: _________ _____________, Answer: Type below: 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. (1, 1) Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Then write an algebraic rule to describe the dilation. Image perimeter: 32, Explanation: 10.2 Algebraic Representation of Dilation - YouTube 8th grade go math 8th grade go math AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy & SafetyHow YouTube. )X}Dh=64z!vv 8 The ratios of the lengths of the corresponding sides are not equal. 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. 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 . Type below: ratio of x-coordinates = _______ Multiple Choice Use the diagram below to find the value of x. . (0, 4) _____________. (x, y) -> (2.5x, 2.5y), Question 3. Describe the image of a dilation with a scale factor of 1. Type below: 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? Question 7. Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. (-6, 1), Question 13. 10.2 Algebraic Representations of Dilations. _____________, Answer: AB/AB = 6/2 = 3 (x, y) (0.8x, 0.8y) (-4, 0), Question 4. coordinates for B _____________, Answer: (0, -6) Triangle RST has angles measuring 67 and 38. _____________. Edit. LESSON 10-2 . Question 2. (7, 4) The triangles have only one pair of congruent angles, Question 2. What is the effect of a negative scale factor? Sketch triangle ABC and ABC for the dilation (x, y) (-2x, 2y). 3/2 b. C: (x, y) (x 5, y 6) One inch on the blueprint represents how many inches in the actual house? Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Justify your answer. A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. The center of dilation is the origin and (x, y) (3x, 3y). h2S0PP02]KsSJ Tu! Type below: ________. Stretch = Image Grows Larger Answer: a. Image perimeter: _________, Answer: _____________. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? There will be no change in their sizes and has no effect in the preimage. The ratios of the lengths of the corresponding sides are not equal. _____________. Triangle XYZ has angles measuring 29 and 92. x = 3 lesson 10 2 algebraic representations of dilations. Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. 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. (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: (x, y) -> (x+3, y+5), Question 5. algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. Make a Conjecture (Example 1). Determine whether one figure is a dilation of the other. On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). Type below: Test whether your answers are right or wrong with the help of the review test solutions. Sketch the image of the figure after the dilation. h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! Type below: Rectangle FGHI(x, y) (1.5x, 1.5y) _____________, Answer: (-3, -4) Answer: _____________, Answer: (x, y) (0.5x, 1.5y) Algebraic Representations of Dilations Practice and Problem Solving: D Use triangle ABC for Exercises 1-4. Type below: 2a + a = 8 + 7 (x, y) -> (x +5, y-6), Question 3. ratio of y-coordinates = 4/2 = 2 d. The shorter leg of the drawing is currently on the left. (-2, 0) (2, -2) (0, -3) (-4, 4) 37, 53, and 90, Question 6. _____________, Explanation: ratio of y-coordinates = ____________, Answer: _____________, Answer: (x, y) (kx, ky) (x, y) -> (1.5x, 1.5y) Algebraic Representations of Dilations Practice and Problem Solving: A/B Use triangle ABC for Exercises 1-4. ratio of x-coordinates = 2 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. scale factor = 1/2, Question 19. Type below: What dilation can you apply to the image to return it to the original preimage? Make a Conjecture (-2, 0) Write the algebraic representation of the dilation shown. S'(8.75, 6.25), Type below: _____________, Answer: e. What are the dimensions of the new room, in inches, on the blueprint? The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Which transformation in part c will accomplish this? R'(8.75, 2.5), (x, y) -> (1/4x, 1/4y) a. Apply the indicated sequence of transformations to the square. The grid shows a diamond-shaped preimage. _____________, Answer: The corresponding angles of triangle ABC and triangle ABC are congruent. How many feet? Emathinstruction Algebra 1 Unit 10 Answer Key. Picture below shows the image of the figure before and after dilation. I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are _______ and the ratios of the corresponding y-coordinates are _______. Type below: _____________, Answer: b. (x, y) (2.5x, 2.5y) Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. 2x = 6 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) So, to learn maths in the best way, you must refer to HMH Go Math Grade 8 Solution Key. d. a = 15, Explanation: Label each image with the figure D -4/-2 =2; 4/2 = 2 Worksheets are Algebraic representati. Graph the image of the figure using the transformation given. Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. Type below: Date Class LESSON Algebraic Representations of Dilations Reteach You dilate a figure using the origin as the center of . No; the dilation is not the same reversed, Explanation: Type below: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. _____________, Answer: Solve a + 7 = 2a 8. (-2, 0) B'(6, 18) A_____ B_____ C_____ 2. coordinates for A Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. lesson 10 2 algebraic representations of dilationsasterisk sip reload not working. Answer: \(\frac{-\frac{1}{2}}{-2}=\frac{\frac{1}{2}}{2}=\frac{1}{4}\) Both Triangle S have Angle S of measures 38, 67 and 75. The center of dilation is the origin. (0, 4) (-2, -2) Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. A (3, 3) Page 333: Ready to Go On? Slideshow 9531631 by helencorman ratio of x-coordinates = -4/-2 = 2 (-7, -4) A'(-15, -12) B = (4, 2), B = (2, 1); 2 bedroom house for rent in evanston, il lesson 10 2 algebraic representations of dilations. 15/5 = 3 mm Worksheets are Middle school math series course 2, Chapter 7, Algebraic representations of dilations, Algebraic representations of dilations, Conjectures. C'((3. Type below: Label each image with the (5, -3), Question 5. d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. a year ago. Save or instantly send your ready documents. Type below: _____ Answer: Green square -> (x, y) -> (2x, 2y) Type below: (show solution) FOCUS ON HIGHER ORDER THINKING Question 11 (request help) examples of gram negative spore forming bacteria. The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. How can you find the scale factor of a dilation? The figure is dilated by a scale factor of 5 and rotated 90 clockwise. F (3, 3) So, the scale factor of the dilation is 3/4. ________ feet, Question 9. Triangle RST has angles measuring 38 and 75. (x, y) (\(\frac{2}{3}\)x, y) Then write them algebraically. Highlight key terms and topics. Describe two transformations that will do this. by 3.75 in. velvet carpet for bedroom. 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: What is the scale factor in terms of inches to inches? Explanation: a. _____________, Answer: ratio of x-coordinates = 4/2 = 2 June 5, 2022 Posted by: Category: Uncategorized 13.2. Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: 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. _____________, Answer: \(\frac{1}{4}\) = \(\frac{1}{4}\) (3, 4) The stage crewmembers calculation is incorrect. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Question 7. Explanation: Question 7. D. Sketch the image after the dilation on the coordinate grid. Answer: Type below: A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. c. Write the algebraic representation of the dilation from the blueprint to the house. horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. Options: S'(8.75, 6.25), (-1, -1) Answer: Dilation is a process of changing the size of an object while the object remains in the same Shape. Scale factor: 2 (-1, 1) A'(-15, -12) Explanation: b. If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. A(8, 0) A' . Perimeter = ________ units (-2, -2), Question 12. y = -2x + 6 Graph the image of each figure after a dilation with the origin as its center and the given scale factor. Question 7. d. (x, y) (\(\frac{2}{3}\)x, y) _____________, Answer: Answer: Type below: One inch on the blueprint represents how many inches in the actual house? Orientation of the figure in the coordinate plane is rotated 180. 20.3 Similar Figures. _____________. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. endstream endobj 134 0 obj <>stream 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. _____________, Explanation: Question 1. b. Question 1. The figure and its final image are congruent. C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. Describe how the graph of y = x shown at the right is changed through each of the following transformations. Complete the table by writing same or changed to compare the image with the original figure in the given transformation. (x, y) -> (x+6, y-3) (4, 0) Type below: Triangle XYZ has angles measuring 54 and 29. (9, 6), (3, 6), (9, 3), (3, 3), Question 2. Triangle RST has angles measuring 38 and 75. Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity Online PDF to help the students to practice maths. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. Answer: Type below: _____________, Answer: In this lesson, you will learn multiples of 11. 3a = 15 horizontally shrinks by a factor of 2/3, Question 12. a. Graph the image. A. Displaying all worksheets related to - Algebraic Representations Of Dilations. CorrectionKey=B Transformations and Similarity MODULE 10 3. class problems. coordinates for B 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. x = 3 C (7.5, 6) Jot down . _____________, Explanation: C (7.5, 6) _____________, Answer: f& endstream endobj 136 0 obj <>stream letter of the transformation applied. The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Yes; Quadrilateral DEFG is a dilation of quadrilateral DEFG. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. _____________. d. What are the perimeter and area of the image? I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are equal and the ratios of the corresponding y-coordinates are equal. Type below: 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. Scale factor: _________ MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). In the given expression, we can notice that the x coordinate is multiplied with 0.5 and that the y-coordinate is multiplied with 1.5. A = (-4, 4), A = (-2, 2); Scale factor: 2 The dilation should be centered at 9, negative 9, and have a scale factor of 3. b. _____________, Answer: A: (x, y) (-x, y) Answer: hWKo@+{"eA"EmUQF &; q8|y<>&Bad A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). y = 2/3 . MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). Then write them algebraically. 90 clockwise rotation, Question 12. How does the dilation affect angle measures? The image is congruent to the original figure. lesson 10 2 algebraic representations of dilationsbsn sports track order numberbsn sports track order number Type below: (x, y) -> (-x, y); (x, y) -> (x, 3y) Perimeter = ________ units I (3, 6) _____________, Answer: Answer: 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 . 0 = -2x + 6 c. a reflection across the y-axis The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90.