Question

Is WXZ =YZX why or why not ?

Answer 1

Answer:

A. Yes, they are congruent by SAS.

Step-by-step explanation:

We have been given an image of two triangles. We are asked to choose the correct option about our given triangles.

We can see from our given triangle that in triangle WXZ and YZX side XZ equals to itself.

Side WX and YZ equals 21 cm, so these sides are also equal.

We can see that WXZ and angle YZX measures 90 degrees, so these angles are also equal.

Side-angle-side congruence theorem states when two sides and included angle of a triangle are equal to two sides and included angle of another triangle, then both triangles are congruent.

Since two sides(WX and YZ) and included (WXZ) of $\Delta WXZ$ is equal to two sides (YZ and ZX) and included angle (YZX) of $\Delta YZX$ are equal, therefore, $\Delta WXZ\cong \Delta YZX$ by SAS postulate and option A is the correct choice.

Answer 2

Yes they are congruent by SAS
S: Both have a side length of 21
A: both have right angles
S: They share a side so they are equal