Congruence of Triangles

Practice

Prove triangle congruence - Answers

1. Holden used a criterion that does not guarantee congruence.

2.

	Statement	Reason
1	$\overline{Q R} \cong \overline{T R}$	Given
2	$\overline{P R} \cong \overline{S R}$	Given
3	$\angle Q R P \cong \angle T R S$	Vertical angles are congruent.
4	$\triangle P Q R \cong \triangle S T R$	Side-angle-side congruence

3.

	Statement	Reason
1	$m \angle B A C=m \angle D A C=51^{\circ}$	Given.
2	$A B=A D=4$	Given
3	$A C=A C$	Segments are the same length as themselves.
4	$\triangle A B C \cong \triangle A D C$	Side-angle-side congruence

4. Jordy used a criterion that does not guarantee congruence.