Question

In pair of triangle in the following figure, parts bearing identical marks are congruent. State the test and correspondence if vertices by which triangle in each pair are congurent.

Answer 1

Consider the triangles $\Delta XWZ$ and $\Delta YXZ$

Here $WX=WY$ (Given )

$WZ=WZ$ (common side )

$\angle XWZ=\angle YWZ$ (Given)

So, by $SAS$ criteria

The trriangles are congruent