Question

use the diagram to complete the statements. segment ad must be congruent to segment △, segment bc must be congruent to segment △.

Explanation:

Step1: Analyze segment AD congruence

From the diagram, we can see that \( l \) (the line with points D and E) and the perpendicular and congruent markings suggest that triangle \( ADC \) might have some symmetry or congruence properties. Also, the markings on the segments (like the right angle at B and congruent marks on AB and BC? Wait, no, looking at the diagram, the key is that in the context of perpendicular bisectors or congruent triangles, segment \( AD \) should be congruent to \( CD \) (maybe because of a perpendicular bisector or isosceles triangle properties, as the diagram shows a right angle at B and congruent segments around, so \( AD = CD \)).

Step2: Analyze segment BC congruence

Looking at the congruent marks (the small x on AB and BC? Wait, the diagram has a right angle at B and congruent marks on AB and BC? Wait, actually, the segment \( BC \) should be congruent to \( AB \) because of the markings (the x on AB and BC, and the right angle, suggesting that B is the midpoint or there is congruence from the perpendicular bisector, so \( BC = AB \)).

Answer:

First blank: \( CD \)
Second blank: \( AB \)