Question

w 21 cm x is δwxz ≅ δyzx? why or why not? yes, they are congruent by sas. yes, they are both right triangles. no, the triangles share side xz. no, there is only one set of congruent sides. z 21 cm y

Explanation:

Step1: Identify the sides and angles

We have \( WX = YZ=21\space cm\), \(\angle WXZ=\angle YZX = 90^{\circ}\), and \(XZ = XZ\) (common side).

Step2: Apply the SAS (Side - Angle - Side) congruence criterion

In \(\triangle WXZ\) and \(\triangle YZX\), we have two sides and the included angle equal.
For \(\triangle WXZ\) and \(\triangle YZX\):

• \(WX = YZ\) (given)
• \(\angle WXZ=\angle YZX\) (right angles)
• \(XZ = XZ\) (common side)

Answer:

Yes, they are congruent by SAS.