Using the congruence statement △BGH≅△PCF

Question

, which of the following statements is correct?



(1 point)
Responses

∠H≅∠P
∠H≅∠P

∠B≅∠F

∠B≅∠F




∠G≅∠C

Answer 1

Given the congruence statement \( \triangle BGH \cong \triangle PCF \), we know that the corresponding angles and sides of these triangles are equal.

From the congruence:

• \( \angle B \cong \angle P \)
• \( \angle G \cong \angle C \)
• \( \angle H \cong \angle F \)

This means the correct statements based on the given information are:

• \( \angle H \cong \angle F \)
• \( \angle B \cong \angle P \)
• \( \angle G \cong \angle C \)

So, for the answers given:

1. \( \angle H \cong \angle P \) is incorrect.
2. \( \angle B \cong \angle F \) is incorrect.
3. \( \angle G \cong \angle C \) is correct.

If you need to select which statement is correct, it would be:

∠G≅∠C.