Look for the side corresponding to HJ in triangle â–³ ABC.
5
Practice makes perfect
We are given that triangles â–³ ABC and â–³ HIJ are congruent.
The order of letters in this congruence indicate corresponding vertices.
Let's use colors to indicate this correspondence.
△ A B C≅△ H I J
The question asks for the measure of H J.
The side in triangle â–³ A B C corresponding to H J is A C.
Since corresponding sides in congruent triangles have the same measure, we can find the measure of H J by finding the measure of A C first.
Finding AC
Since the coordinates of A and C are given, we can find the distance of these points using the Distance Formula.
Since H J and A C are corresponding sides in congruent triangles â–³ A B C and â–³ H I J, their measure is the same.
H J= A C=5
The measure of H J is 5.
