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1 Section 4.3.2: 10) Here are some introductory exercises about congruence theorems. a) What does it mean for two triangles to be congruent ? b) You may assume that SSS , SAS , and ASA are all valid congruence theorems. Discuss and draw a picture illustrating the meaning of each of these theorems. c) Is A AS a valid triangle congruence theorem? If so, brieﬂy show how it follows from the congruence theorems in part (b). If not, produce a counterexample. d) Repeat part (c) for AAA and SSA . 11) Here we connect the Law of Cosines with SSS . a. Does the value of cos γ uniquely determine an angle γ satisfying 0 ≤ γ ≤ π ? Why? b. Use the Law of Cosines to show that if we know all three sides of a triangle (say, of lengths A, B, and C), then we can uniquely determine all three angles. How does part (a) play a role in this process? c. Construct a large triangle. Measure the three side lengths. Then, use the Law of Cosines to compute the cosine of each of the angles in the

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### UNFORMATTED ATTACHMENT PREVIEW

1 Section 4.3.2: 10) Here are some introductory exercises about congruence theorems. a) What does it mean for two triangles to be congruent ? b) You may assume that SSS , SAS , and ASA are all valid congruence theorems. Discuss and draw a picture illustrating the meaning of each of these theorems. c) Is A AS a valid triangle congruence theorem? If so, brieﬂy show how it follows from the congruence theorems in part (b). If not, produce a counterexample. d) Repeat part (c) for AAA and SSA . 11) Here we connect the Law of Cosines with SSS . a. Does the value of cos γ uniquely determine an angle γ satisfying 0 ≤ γ ≤ π ? Why? b. Use the Law of Cosines to show that if we know all three sides of a triangle (say, of lengths A, B, and C), then we can uniquely determine all three angles. How does part (a) play a role in this process? c. Construct a large triangle. Measure the three side lengths. Then, use the Law of Cosines to compute the cosine of each of the angles in the

Do you similar assignment and would want someone to complete it for you? Click on the ORDER NOW option to get instant services at LindasHelp.com