Question

Igor noticed on a map that the triangle whose vertices are the supermarket, the library, and the post office (ASLP) is congruent to the triangle whose vertices are Igor's home, Jacob's home, and Ben's home (AIJB). That is, ASLP AIJB. The distance between the supermarket and the post office is 1 mile. Which path along the triangle AIJB is congruent to this?

Answer 1

The path from Jacob's home (J) to Ben's home (B) on the triangle AIJB is congruent to the distance between the supermarket (A) and the post office (P).

Step-by-step explanation:

In the given question, we have two congruent triangles: ASLP and AIJB. The distance between the supermarket (A) and the post office (P) is 1 mile. We need to find the path along the triangle AIJB that is congruent to this distance.

Since the triangles are congruent, corresponding sides are equal in length. Therefore, the path from Jacob's home (J) to Ben's home (B) on the triangle AIJB is congruent to the distance between the supermarket (A) and the post office (P).