what additional information do you need to prove GHI=DEF

Question

A.HI=EF
B.HI=ED
C.F=G
D.GI=DF

Answer 1

To prove GHI=DEF, you need to show that the corresponding sides and angles of both triangles are congruent.

Based on the given information, you still need to know:

A. HI=EF - This establishes that the corresponding sides between the two triangles are congruent.

B. HI=ED - This would only prove that segment HI is congruent to segment ED, but it does not provide information about other corresponding sides or angles.

C. F=G - This does not provide information about any corresponding sides or angles.

D. GI=DF - This establishes that segment GI is congruent to segment DF, which can help prove congruence between the two triangles. However, it is still necessary to know additional information about other corresponding sides or angles.

Answer 2

it can only be 1 of them

Answer 3

Apologies for the confusion. If we know that HI=EF (option A), that would be sufficient to prove GHI=DEF. This information indicates that the corresponding sides HI and EF are congruent, establishing congruence between the two triangles.