Question

4 choose the appropriate condition for the following pairs of triangles to be congruent. pair of triangles sss asa sas

Explanation:

Step1: Recall triangle congruence criteria

• ASA (Angle - Side - Angle): 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.
• SSS (Side - Side - Side): If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
• SAS (Side - Angle - Side): 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.

Step2: Analyze the first pair of triangles

• We have two angles and the common side (included side) equal. So, by ASA criterion, the first pair of triangles are congruent.

Step3: Analyze the second pair of triangles

• We have three sides equal (marked with triple ticks). So, by SSS criterion, the second pair of triangles are congruent.

Step4: Analyze the third pair of triangles

• We have two sides (marked with single ticks) and the included angle (vertically opposite angles are equal) equal. So, by SAS criterion, the third pair of triangles are congruent.

Answer:

• First pair: ASA
• Second pair: SSS
• Third pair: SAS