Question

using the tick marks for each pair of triangles, choose from the dropdown menu the method, if any, for each triangle pair that can be used to prove triangle congruence. choose from sss, sas, aas, asa, hl, or none. which method can be used to prove the triangles to the left are congruent? choose a method from the dropdown menu; select which method can be used to prove the triangles to the left are congruent? choose a method from the dropdown menu; select which method can be used to prove the triangles to the left are congruent? choose a method from the dropdown menu; select which method can be used to prove the triangles to the left are congruent? choose a method from the dropdown menu; select

Explanation:

Step1: Analyze the first pair of triangles

The first pair of triangles has all three sides marked as equal. According to the SSS (Side - Side - Side) congruence criterion, if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Step2: Analyze the second pair of triangles

The second pair of triangles are right - angled triangles (marked with right - angle symbols). They have a hypotenuse (the longest side) and a leg marked as equal. By the HL (Hypotenuse - Leg) congruence criterion for right - angled triangles, the triangles are congruent.

Step3: Analyze the third pair of triangles

The third pair of triangles has two angles (one is a right - angle) and the included side marked. According to the ASA (Angle - Side - Angle) congruence criterion, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Step4: Analyze the fourth pair of triangles

The fourth pair of triangles has two angles (one is a right - angle) and a non - included side marked. According to the AAS (Angle - Angle - Side) congruence criterion, if two angles and a non - included side of one triangle are equal to two angles and the non - included side of another triangle, the triangles are congruent.

Answer:

1. SSS
2. HL
3. ASA
4. AAS