select the correct answer. which triangles in the diagram are congruent? triangle 1 triangle 2 triangle 3…

select the correct answer. which triangles in the diagram are congruent? triangle 1 triangle 2 triangle 3 triangle 4 a. triangle 1 and triangle 2 b. triangle 1, triangle 2, and triangle 3 c. triangle 1 and triangle 3 d. triangle 1, triangle 3, and triangle 4

select the correct answer. which triangles in the diagram are congruent? triangle 1 triangle 2 triangle 3 triangle 4 a. triangle 1 and triangle 2 b. triangle 1, triangle 2, and triangle 3 c. triangle 1 and triangle 3 d. triangle 1, triangle 3, and triangle 4

Answer

Answer:

D. triangle 1, triangle 3, and triangle 4

Explanation:

Step1: Recall congruence criteria

For triangles, Side - Angle - Side (SAS) congruence criterion can be used.

Step2: Analyze triangle 1

Triangle 1 has two sides marked equal and an included angle of 70°.

Step3: Analyze triangle 3

Triangle 3 has two sides marked equal and an included angle of 70°, same as triangle 1, so they are congruent by SAS.

Step4: Analyze triangle 4

Triangle 4 also has two sides marked equal and an included angle of 70°, so it is congruent to triangle 1 and triangle 3 by SAS.