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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 _______

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Solution

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 ∠ABC=∠PQR

Side BC = Side QR

∠ACB=∠PRQ

Hence △ABC≅△PQR by 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 ∠ABC=∠PQR

Side BC = Side QR

∠ACB=∠PRQ

Hence △ABC≅△PQR by ASA test.

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