Using the congruence statement △BGH≅△PCF

Question

, which of the following statements is correct?



(1 point)
Responses

∠G≅∠C
∠G≅∠C

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

Answer 1

From the congruence statement \( \triangle BGH \cong \triangle PCF \), we can deduce that the corresponding angles and sides of the two triangles are congruent.

This gives us the following correspondences based on the order of the letters in the congruence statement:

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

Based on this information, the correct statement is:

∠G ≅ ∠C

This statement directly corresponds to the given congruence of the triangles.