Using the congruence statement △BGH≅△PCF

Question

, which of the following statements is correct?



(1 point)
Responses A B C OR D WHICH ONE IS

It is impossible to tell with the information given.
It is impossible to tell with the information given.

∠H≅∠P
∠H≅∠P

∠B≅∠F

∠B≅∠F


∠G≅∠C

Answer 1

Given the congruence statement \( \triangle BGH \cong \triangle PCF \), we can infer that the corresponding angles of the two triangles are equal. The corresponding angles are determined by the order of the vertices in the congruence statement:

• \( \angle B \) corresponds to \( \angle P \)
• \( \angle G \) corresponds to \( \angle C \)
• \( \angle H \) corresponds to \( \angle F \)

Thus, the correct statements based on the congruence are:

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

From the provided options, the correct statement would be:

• \( \angle H \cong \angle F \) (if this is one of the options).

If you have specific letter designations for the responses (A, B, C, D), please provide those options so I can pinpoint the correct one.