Question

can you conclude that \\(overline{hi}\\) and \\(overline{ij}\\) are congruent?
(there is a triangle h i j, with side hi labeled 4t, side ij labeled 4t, and side hj labeled 3s. there are two options: yes and no.)

Explanation:

Step1: Recall congruent segment definition

Two segments are congruent if their lengths are equal.

Step2: Compare lengths of \( \overline{HI} \) and \( \overline{IJ} \)

The length of \( \overline{HI} \) is \( 4t \), and the length of \( \overline{IJ} \) is also \( 4t \). Since \( 4t = 4t \), their lengths are equal.

Answer:

yes