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

The triangles are congruent by SSS.

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`.

Answer 2

Yes

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.