Question

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

Explanation:

Step1: Identify the corresponding angles

• For angle \(J\) and \(N\):
• In the first figure, angle \(J = 112^{\circ}\). In the second figure, angle \(N=112^{\circ}\). So \(\angle J\cong\angle N\)
• For angle \(H\) and \(O\):
• In the first figure, angle \(H = 87^{\circ}\). In the second figure, angle \(O = 87^{\circ}\). So \(\angle H\cong\angle O\) (This option is not in the check - marked ones, but for the given check - marked \(\angle H\cong\angle N\) is wrong. Wait, no, re - check the problem. Wait, looking at the problem again, assume the two polygons are congruent.
• If we match the sides and angles:
• Side \(JG = 9\) in (first polygon), side \(OL=9\) in (second polygon). So \(\overline{JG}\cong\overline{OL}\)
• Angle \(G = 128^{\circ}\), angle \(L = 128^{\circ}\). So \(\angle G\cong\angle L\)
• Angle \(J = 112^{\circ}\), angle \(N = 112^{\circ}\). So \(\angle J\cong\angle N\)

Answer:

\(\angle J\cong\angle N\), \(\overline{JG}\cong\overline{OL}\), \(\angle G\cong\angle L\)