Question

Given: ABCH and DCGF are parallelograms. Prove: angle A is congruent to angle F

Answer 1

Given: ABCH and DCGF are parallelograms. Prove: angle A is congruent to angle F


Complete the proof below by choosing the correct statement for line number 3 and the correct reason for line number 4.
Statement Reason
1. ABCH and DCGF are parallelograms Given
2. angle BCH and angle DCG are vertical angles Definition of vertical angles
3. Vertical angle theorem

4. angle A is congruent to angle BCH and angle
DCG is congruent to angle F

5.angle A is congruent to angle Transitive Property


A. angle ABC is congruent to angle FGHOpposite angles of a parallelogram are congruent.
B. angle BCH is congruent to angle DCG>; Corresponding angles are congruent.
C. angle BCH is congruent to angle DCG>; Opposite angles of a parallelogram are congruent.
D. angle BCD is congruent to angle GCH>; Alternate interior angles are congruent.

Answer 2

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