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.