what additional information do you need to prove GHI=DEF
A.HI=EF
B.HI=ED
C.F=G
D.GI=DF
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.
it can only be 1 of them
To prove that GHI = DEF, you would typically need additional information that directly relates the corresponding angles or sides of the two triangles. From the given answer choices, options A and D seem to provide relevant information:
A. HI = EF: This information implies that the sides of the two triangles are equal in length, which is a side-side-side (SSS) condition for triangle congruence.
D. GI = DF: This information states that one pair of corresponding sides of the two triangles are equal, namely GI and DF. This is not a direct congruence condition, but it could potentially be used in combination with other information to prove the triangles congruent.
Therefore, options A and D provide additional information that can help prove GHI = DEF.
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.