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In Exercises 10-12, use what you know to construct each figure. Use only a compass and a straightedge. E A R of AARM, construct ZM. R

In Exercises 10-12, use what you know to construct each figure. Use only a compass and a straightedge. E A R of AARM, construct ZM. R

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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What should I do for question 10 and 11?
**Educational Website Content: Geometric Constructions** **Instructions:** In Exercises 10-12, use what you know to construct each figure. Use only a compass and a straightedge. **10.** Given ∠A and ∠R of △ARM, construct ∠M. **11.** In △LEG, m∠L = m∠G. Given ∠L, construct ∠M. **12.** Given ∠A, ∠R, and side AE, construct △EAR. **13.** Repeat Exercises 10-12 with patty paper constructions. **14. DEVELOPING PROOF** In △MAS, ∠M is a right angle. Let's call the two acute angles, ∠A and ∠S, "wrong angles." Write a paragraph proof or use algebra to show that "two wrongs make a right," at least for angles in a right triangle. **Diagram Explanation:** - The diagram consists of several geometric figures demonstrating the use of a compass and straightedge to construct angles and triangles. - For Exercise 10, there is a visual guide showing the construction of an angle using both a drawn arc from point A intersecting another line. - For Exercise 11, a similar diagram is present showing the construction of a new angle based on given angle measures. - Each step in the construction process visually maps out the geometric principles required for precise constructions.
Transcribed Image Text:**Educational Website Content: Geometric Constructions** **Instructions:** In Exercises 10-12, use what you know to construct each figure. Use only a compass and a straightedge. **10.** Given ∠A and ∠R of △ARM, construct ∠M. **11.** In △LEG, m∠L = m∠G. Given ∠L, construct ∠M. **12.** Given ∠A, ∠R, and side AE, construct △EAR. **13.** Repeat Exercises 10-12 with patty paper constructions. **14. DEVELOPING PROOF** In △MAS, ∠M is a right angle. Let's call the two acute angles, ∠A and ∠S, "wrong angles." Write a paragraph proof or use algebra to show that "two wrongs make a right," at least for angles in a right triangle. **Diagram Explanation:** - The diagram consists of several geometric figures demonstrating the use of a compass and straightedge to construct angles and triangles. - For Exercise 10, there is a visual guide showing the construction of an angle using both a drawn arc from point A intersecting another line. - For Exercise 11, a similar diagram is present showing the construction of a new angle based on given angle measures. - Each step in the construction process visually maps out the geometric principles required for precise constructions.
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