Theorem: The sum of the measure of the angles of any triangle is 180°. Proof: Given: The top line (that touches the top of the triangle) is parallel to the base of the triangle. Prove: mz1+ mz3 + mz2 = 180° 5 1 2 A B Statements |Reason 1. mz4 = mz1 1. 2. mz5 = mz2 2. 3. Three angles form one side of the straight line 4. 3. 4. mz1 + mz3 +mz2 = 180°

Theorem: The sum of the measure of the angles of any triangle is 180°. Proof: Given: The top line (that touches the top of the triangle) is parallel to the base of the triangle. Prove: mz1+ mz3 + mz2 = 180° 5 1 2 A B Statements |Reason 1. mz4 = mz1 1. 2. mz5 = mz2 2. 3. Three angles form one side of the straight line 4. 3. 4. mz1 + mz3 +mz2 = 180°

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 34E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...

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