Question

Which criteria for triangle congruence can be used to prove the pair of triangles below are congruent?

Answer 1

Answer: The correct option is fourth, i.e., SSS.

Explanation:

First write the name of vertices as shown below,

From the figure we can say that in triangle DAB and triangle BCD,

$AB=CD$

$DA=BC$

In both triangle the sides BD is common, so,

$BD=BD$

Since three sides of triangles DAB and triangle BCD are same so by the SSS property of congruent triangle we can conclude that the triangle DAB and triangle BCD are congruent.

Therefore the fourth option is correct.

Answer 2

Answer:

SSS

Step-by-step explanation:

We are given that two triangles.

We have to find the criteria can be used to prove the pair of triangles are congruent.

In given pair of triangles,

Two sides of one triangle are equal to corresponding two sides of other triangle.

One side is common in both triangles.

When three sides of one triangle are equal to three sides of other triangle then the triangles are congruent by SSS postulate.

Hence, the pair of triangles are congruent by SSS postulate.