Question

for each figure below, determine (by using the markings) if there is a pair of congruent triangles. if there is, name the congruence and give the property justifying the congruence.
note that the pairs of triangles are drawn as congruent, but you should not rely on how they are drawn in determining your answers.
if necessary, you may learn what the markings on a figure indicate.
(a)
(b)
select
△ghi≅△\boxed{phantom{}}\text{ by the }
○\text{ not necessarily congruent}
○\text{ congruent:}

Explanation:

Step1: Identify the given information

We have two triangles \(\triangle GHI\) and \(\triangle KLJ\). One pair of angles (\(\angle H=\angle K\)) and one pair of sides (marked as equal) are given.

Step2: Apply the Angle - Side - Angle (ASA) congruence criterion

The ASA congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent. Here, we assume that the side is the included side for the given angles. So, \(\triangle GHI\cong\triangle KLJ\) by the ASA (Angle - Side - Angle) congruence rule.

Answer:

Congruent: \(\triangle GHI\cong\triangle KLJ\) by the ASA (Angle - Side - Angle)