Chapter 4, Problem 11PST

To determine

To determine the congruence theorem used to prove the given triangle as congruent.

Answer to Problem 11PST

Both the triangles are congruent by the property of ASA(angle side angle).

Explanation of Solution

Given information :

Here we know,

$\begin{array}{l}\angle ATJ\cong \angle PTJ\\ \angle 1=\angle 2\end{array}$

Third angle shall be automatically equal.

Hence in both the triangles all the angles are same and side TJ is common.

Hence both the triangles are congruent by the property of ASA(angle side angle).