Question

1. in the figure below,

give the reasons for the following statement.
△wxy≅△zyx
reason: _

Explanation:

Step1: Identify the common side

In \(\triangle WXY\) and \(\triangle ZYX\), \(XY = YX\) (common side).

Step2: Analyze the given equal sides

It is given that \(WX = ZY\) and \(WY = ZX\) (from the figure's context).

Step3: Apply the SSS (Side - Side - Side) congruence criterion

Since \(WX = ZY\), \(XY = YX\), and \(WY = ZX\), by the SSS congruence criterion, \(\triangle WXY\cong\triangle ZYX\).

Answer:

SSS (Side - Side - Side) congruence criterion.