Question

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

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Explanation:

Step1: Identify corresponding angles

In the first triangle \( \triangle KLM\) and the second triangle \( \triangle XYW\), we check the angles.

• \( \angle L = 103^{\circ}\) and \( \angle Y=103^{\circ}\), so \( \angle L\cong\angle Y\).
• \( \angle K = 46^{\circ}\) and \( \angle X = 46^{\circ}\), so \( \angle K\cong\angle X\).
• \( \angle M=31^{\circ}\) and \( \angle W = 31^{\circ}\), so \( \angle M\cong\angle W\).

Step2: Identify corresponding sides

• \( \overline{KL}=14\mathrm{cm}\), \( \overline{XY} = 14\mathrm{cm}\).
• \( \overline{LM}=20\mathrm{cm}\), \( \overline{YW}=20\mathrm{cm}\).
• \( \overline{MK}=26\mathrm{cm}\), \( \overline{WX}=26\mathrm{cm}\), so \( \overline{MK}\cong\overline{WX}\).

Answer:

\(\angle L\cong\angle Y\), \(\angle K\cong\angle X\), \(\overline{MK}\cong\overline{WX}\), \(\angle M\cong\angle W\)