Question

If two angles of a triangle and a side included by them are congruent with two corresponding angles and the side included by them of the other triangle, then the triangles are congruent with each other by _______

• A. SSS test
• B. SAS test
• C. RHS test
• D. ASA test

Answer 1

The correct option is D ASA test

If two angles of a triangle and a side included by them are
congruent with two corresponding angles and the side included by them of the other triangle, then the triangles are congruent with each other by ASA test
Consider the triangle ABC and PQR
Given that $\angle ABC=\angle PQR$
Side BC = Side QR
$\angle ACB=\angle PRQ$
Hence $△ABC\cong △PQR$ by ASA test.