Why is AAA not a property for a congruent triangle?

Open in App

Solution

For a set of triangles to be congruent, their respective sides and angles should be equal. In case of a triangle with all respective angles equal i.e. AAA condition, the sides of the triangles may or may not be equal. For two triangles with same respective angles, the congruence will hold true only if those triangles are similar.

Suggest Corrections

Similar questions

Q. In

△

ABC, AB = AC and AD is perpendicular bisector of BC. The property by which

△

ADB is not congruent to

△

ADC is ______.

Requesting for a list of rules/properties of triangles and tests of congruents

If these triangles are congruent, then choose the property by which they are congruent.

Given below are pairs of congruent triangles. State the property of congruence and name the congruent triangles in each case.
(i)

(ii)

(iii)

(iv)

(v)

Q. In triangle PQR, PQ = PR and PM is perpendicular to QR. By which property is triangle PQM congruent to triangle PRM?

Join BYJU'S Learning Program