In problem 8-94 you found that if you are given three lengths to build the sides of a triangle, then if a triangle can be formed, all the triangles you could make were the same. Suppose you start with two triangles knowing that their three pairs of corresponding sides are the same, as shown in the diagram below.
Triangle, A B C, where side, A C, has one hatch mark, side, C B, has 2 hatch marks, and side, A B, has 3 hatch marks.
Triangle, P Q R, where side, R P, has one hatch mark, side, P Q, has 2 hatch marks, and side, R Q, has 3 hatch marks.
Examine the diagram. What do you think the markings indicate? Name the pairs of corresponding sides.
What can you say about the two triangles and why? What can you say about their angles? Why?