Question

identify two segments that are marked congruent to each other on the diagram below. (diagram is not to scale.)

diagram with vertices e, d, c, a, b; tick marks on ab and dc, arrows on ad and bc, right angle at a, angles at d and c

answer attempt 1 out of 2

blank is congruent to blank

Explanation:

Step1: Analyze congruent segment marks

In the diagram, segments with the same number of tick marks are congruent. Segment \( AB \) and \( DC \) have two tick marks, so they are congruent. Also, segment \( AD \) and \( BC \) have arrow marks (indicating congruence). Let's check the tick - marked ones first. The tick marks on \( AB \) and \( DC \) show they are congruent.

Step2: Confirm the congruent segments

Looking at the diagram, the segments with the same tick - mark notation (two ticks) are \( AB \) and \( DC \). Also, the segments with the arrow marks (indicating congruence) are \( AD \) and \( BC \). But for the tick - marked ones, \( AB \) and \( DC \) are marked congruent. Another pair is \( AD \) and \( BC \) (marked with arrows). Let's take the tick - marked pair first.

Answer:

\( AB \) is congruent to \( DC \) (or \( AD \) is congruent to \( BC \))