We are searching for a value of x that will create congruent sides and angles of these two triangles. First, let's use some colors to indicate the corresponding vertices in the given congruence statement.
△ BC D≅△ WX Y
Then, we can display them on the diagram.
For now, let's focus on the side that has a length given in the diagram and the corresponding side in the other triangle.
BCandWX
Since these are corresponding sides in congruent triangles, their measures are the same. This allows us to set up and solve an equation for x.
The value that makes BC and WX and all other corresponding measurements congruent is x=3.
Checking Our Answer
Checking our answer
If △ BC D and △ WX Y are congruent then the measure of the angle at B is the same as the measure of the corresponding angle at W.
Let's check whether this is true when x=3.
