Question

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

Yes, there is enough information to prove that the triangles are congruent.

SAS POSTULATE

Explanation:

`In\:\triangle ABC \: and \triangle XYZ\\`

`AB\cong XY..... (given) \\`

`\angle ABC \cong\angle XYZ\\(each \: 90\degree) \\`

`BC\cong YZ..... (given) \\`

`\therefore \triangle ABC \cong \triangle XYZ\\(SAS\: postulate)`

Answer 2

• Yes

Explanation:

Given

• Two sides and and included angle of one triangle is congruent to same on another triangle

This is side-angle-side or SAS congruency postulate