Question

use triangle congruence conjectures to decide whether or not the pair of triangles given in the first column must be congruent. base your decision on the markings, not on appearances. match your result with the answer choices provided below. drag & drop t aaa aas sss asa

Explanation:

Step1: Analyze the first pair of triangles

For the first pair of triangles, we check the side - side - side (SSS) congruence criterion. If all three sides of one triangle are equal to the corresponding three sides of another triangle, the triangles are congruent.

Step2: Analyze the second pair of triangles

For the second pair of triangles, we use the angle - angle - side (AAS) congruence criterion. We have two angles and a non - included side.

Step3: Analyze the third pair of triangles

For the third pair of triangles, we use the right - angle - hypotenuse - side (which is a special case of AAS for right - angled triangles). We have two right angles (right angle), a pair of equal acute angles (angle), and a pair of equal hypotenuses (side).

Answer:

First pair: \(SSS\), Second pair: \(AAS\), Third pair: \(AAS\)