Honors Geometry Companion Book, Volume 1

2.2.2 Geometric Proof − Practice

1.  Write a justification for each step, given that m ∠ 1 + m ∠ 2 = 90° and m ∠ 2 + m ∠ 3 = 90°.

2.  Write a justification for each step, given that m ∠ 1 = 50° and m ∠ 2 = 50°.

1.m ∠ 1 = 50º, m ∠ 2 = 50º 2.m ∠ 2 + m ∠ 3 = m ∠ CBE 3. ∠ 1 and ∠ CBE are supplementary 4.m ∠ 1 + m ∠ CBE = 180º 5.m ∠ 1 + m ∠ 2 + m ∠ 3 = 180º 6. 50º + 50º + m ∠ 3 = 180º 7. 100º + m ∠ 3 = 180º 8.m ∠ 3 = 80º

1.m ∠ 1 + m ∠ 2 = 90º m ∠ 2 + m ∠ 3 = 90º 2.m ∠ 1 + m ∠ 2 = m ∠ 2 + m ∠ 3 3.m ∠ 1 = m ∠ 3

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