Explain ASA congruence condition with the help of a diagram.

Asked by Topperlearning User | 19th Nov, 2013, 01:31: AM

Expert Answer:

ASA congruence criterion:

The Angle Side Angle (ASA) postulate states that, if under a correspondence, two angles and the included side of a triangle is equal to two corresponding angles and the included side of another triangle, then the two triangles are congruent.

Consider the triangles ABC and XYZ, as shown below.

Two angles and the included side are congruent.

ABC = XYZ (equal angle)

BC = YZ (equal side)

ACB = XZY (equal angle)

So, ABC XYZ

Therefore, by the ASA congruence criterion, the triangles are congruent.

Answered by  | 19th Nov, 2013, 03:31: AM