Question

In the figure, ghf=ehd Which statement is true by CPCTC?

Answer 1

Hi and welcome to QuestionCove!

CPCTC, which stands for "Congruent Parts of Congruent Triangles are Congruent" means that the edges and points of triangles GHF and EHD which correspond to each other will be congruent to each other, since these two triangles are congruent.

For instance, angle G would be congruent to angle E by this rule. Lines GH and EH would be congruent. Can you find any other examples of congruence that would be true in the answer choices, based on this rule?

Answer 2

i dont know I am just trying to pass my class

Answer 3

Ok, we can match up all the parts of the triangle that are congruent, and then all you have to do is see whether or not that fits any of the answer choices. Since the answer choices only involve the lines of the triangle, we won't worry about the angles.

GH is congruent to EH
HF is congruent to HD
FG is congruent to DE

Also, keep in mind that a line segment can be written with its two endpoints in either order and still be the same. So, for instance "HF" is the same as "FH" and "HD" is the same as "DH" in this context.