Write a congruency statement for the pair of triangles Solut

Write a congruency statement for the pair of triangles

Solution

2 triangles are congruent if they have 2 sides same, and the angles between those 2 sides are also equal.

In AQB and ABP triangles we have:

AQ = BP marked equal.

AB = AB ( same sides , common sides shared by the 2 triangles)

Also, common angles to respective sides , Angle A and Angle B are marked equal

Hence, the 2 triangles are congruent by SAS rule ( Side Angle Side)