Question

Congruent triangles abc and def are given. Triangle abc is marked with the following: angle c has one arc, angle b has a right angle mark, and angle a has two arcs. Side ab has one hash mark, side bc has two hash marks, and side ac has three hash marks. Triangle def is marked with the following: angle f has one arc, angle e has a right angle mark, and angle d has two arcs. Side de has one hash mark, side ef has two hash marks, and side df has three hash marks. Which side is congruent to segment bc?

1) Segment de
2) Segment ef
3) Segment df
4) Segment ab

Answer 1

Segment EF in triangle DEF is congruent to segment BC in triangle ABC, as indicated by the matching hash marks on both segments.

Step-by-step explanation:

The question is asking which segment in triangle DEF is congruent to segment BC in triangle ABC. By the markings given on the triangles, which indicate congruence through similar arcs and hash marks, we can determine how each corresponding part of the triangles relates to each other. Since side BC in triangle ABC has two hash marks, we need to match it with the corresponding side in triangle DEF which also has two hash marks.

Segment EF in triangle DEF is marked with two hash marks, indicating that it is congruent to segment BC in triangle ABC. Therefore, the correct answer is option 2) Segment EF.