Question

what are the corresponding parts of the figures below? select all that apply.

Explanation:

Step1: Identify corresponding parts

In congruent triangles, corresponding sides and angles are equal.
For side \(ON\) in \(\triangle NPO\) and side \(XY\) in \(\triangle WXY\), \(ON = 33m\) and \(XY = 33m\), so \(\overline{ON}\cong\overline{XY}\).
For angle \(\angle N\) in \(\triangle NPO\) and angle \(\angle X\) in \(\triangle WXY\), \(\angle N = 40^{\circ}\) and \(\angle X = 40^{\circ}\), so \(\angle N\cong\angle X\).
For side \(PO\) in \(\triangle NPO\) and side \(XY\) in \(\triangle WXY\), \(PO = 24m\) and \(XY = 33m\), so \(\overline{PO}
ot\cong\overline{XY}\).
For angle \(\angle P\) in \(\triangle NPO\) and angle \(\angle Y\) in \(\triangle WXY\), \(\angle P = 119^{\circ}\) and \(\angle Y = 119^{\circ}\), so \(\angle P\cong\angle Y\).

Answer:

\(\overline{ON}\cong\overline{XY}\), \(\angle N\cong\angle X\), \(\angle P\cong\angle Y\)