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.