Question

directions: check which congruence postulate you would use to prove that the two triangles are congruent.
1.
sss
sas
asa
aas
2.
sss
sas
asa
aas
3.
sss
sas
asa
aas

Explanation:

1. Analyze the first pair of triangles

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

2. Analyze the second pair of triangles

• The second pair of triangles has two sides and the included angle marked as equal.
• By the SAS (Side - Angle - Side) congruence postulate, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

3. Analyze the third pair of triangles

• The third pair of triangles has two angles and a non - included side marked as equal.
• By the AAS (Angle - Angle - Side) congruence postulate, if two angles and a non - included side of one triangle are equal to two angles and a non - included side of another triangle, the triangles are congruent.

Answer:

1. SSS
2. SAS
3. AAS