Use SAS (Side-Angle-Side congruence) to explain why triangle WXY congruent to triangle WZY

To determine why triangle WXY is congruent to triangle WZY using the SAS (Side-Angle-Side) congruence criterion, we need to prove that two corresponding sides and the included angle of the triangles are congruent.

Here's a step-by-step explanation:

Step 1: Identify the shared side.
In this case, triangle WXY and triangle WZY share the side WY.

Step 2: Identify the congruent side.
Next, we need to identify the sides that are congruent in both triangles. Let's say side XY is congruent to side ZY.

Step 3: Identify the shared angle.
Finally, we need to identify the included angle between the congruent sides. In this case, angle W is the included angle as it is formed by the congruent sides WY and WX in triangle WXY, and by the congruent sides WY and WZ in triangle WZY.

Step 4: State the congruence.
Based on the information gathered, we can state that triangle WXY is congruent to triangle WZY using the SAS (Side-Angle-Side) congruence criterion because the two triangles share a side (WY), have congruent sides (XY ≅ ZY), and have an included congruent angle (angle W).

Remember, when using SAS congruence, it is important to make sure that the order of the corresponding sides and angles is the same in both triangles.