Question

HELP ME ASAP!!!!!!!!!!!!!!
Is there enough information to prove that the triangles are congruent?

If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.

If no, justify your answer.

Answer 1

Answer:

Yes

Step-by-step explanation:

These are congruent because according to the angle sum theorem if at least two of the angles are the same then they would be considered congruent.

Answer 2

Answer:

The triangles are congruent by SSS.

Step-by-step explanation:

It is marked in the diagram that sides AD and BC have equal length, and sides AB and CD have equal length. Side AC is common to both the triangles. Since  $\overline{AB} \cong \overline{CD}$, $\overline{BC} \cong \overline{AD}$, and $\overline{AC} \cong \overline{AC}$, it follows from SSS (side-side-side) congruence that $\triangle ABC \cong \triangle CDA$.