Honors Geometry Companion Book, Volume 1

2.2.1 Algebraic Proof − Practice

1.  Solve the equation. Write a justification for each step. − = + n 4 7 6

2.  Solve the equation. Write a justification for each step. − 3( − x − 2) = 5 x − 9

3.  Identify the property that justifies the statement. AB = MN and MN = PQ , so AB = PQ .

4.  Identify the property that justifies the statement. ∠ XYZ ≅ ∠ PDQ and ∠ PDQ ≅ ∠ ABC , so ∠ XYZ ≅ ∠ ABC .

5.  Identify the property that justifies the statement. △ DEF ≅ △ DEF

6.  Identify the property that justifies the statement. OP ≅ RS , so RS ≅ OP

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