Question

what are the corresponding parts of the figures below? select all that apply.\
\
\\(\angle f \cong \angle w\\) \\(\angle g \cong \angle y\\) \\(\angle g \cong \angle x\\) \\(\overline{ef} \cong \overline{xw}\\)

Explanation:

To determine corresponding parts, we analyze angles and sides:

• \( \angle F = 35^\circ \) and \( \angle W = 35^\circ \), so \( \angle F \cong \angle W \).
• \( \angle G = 20^\circ \) and \( \angle Y = 20^\circ \), so \( \angle G \cong \angle Y \).
• \( \angle E = 125^\circ \) and \( \angle X = 125^\circ \), so \( \angle E \cong \angle X \) (not \( \angle G \cong \angle X \), so that option is incorrect).
• \( EF = 13 \, \text{ft} \) and \( XW = 13 \, \text{ft} \), so \( \overline{EF} \cong \overline{XW} \).

Correct options: \( \angle F \cong \angle W \), \( \angle G \cong \angle Y \), \( \overline{EF} \cong \overline{XW} \). The incorrect option is \( \angle G \cong \angle X \).

Answer:

• Correct: \( \boldsymbol{\angle F \cong \angle W} \), \( \boldsymbol{\angle G \cong \angle Y} \), \( \boldsymbol{\overline{EF} \cong \overline{XW}} \)
• Incorrect: \( \boldsymbol{\angle G \cong \angle X} \)