Question

Mark the angles and sides of each pair of triangles to indicate that they are congruent

Answer 1

using asa you find that wx=xw and then angle rwx is equal to angle wxv bc of alternate interior angles and then angle xwv is equal to angle rxw also bc of alt int angles

Answer 2

The Corresponding angles and Corresponding sides are shown below,

                             $\angle RWX=\angle VXW\\\\\angle RXW=\angle VWX\\\\\angle V=\angle R$ and       $RW=VX\\\\RX=VW\\\\WX=WX$

Congruent triangles :

Two triangles are said to be congruent, when corresponding sides and corresponding angles of both triangles are equal.

Given that, triangles WXV and XWR are congruent. so that corresponding sides and angles of these triangles are also equal.

Corresponding angles are shown below,

                             $\angle RWX=\angle VXW\\\\\angle RXW=\angle VWX\\\\\angle V=\angle R$

Corresponding sides are shown below,

                         $RW=VX\\\\RX=VW\\\\WX=WX$

Learn more about the congruent triangles here:

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