which triangles in the diagram are congruent? triangle 1 triangle 2 triangle 3 triangle 4 a. triangle 1 and…

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

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

Explanation:

Step1: Recall congruence criteria

We use Side - Angle - Side (SAS) congruence criterion.

Step2: Analyze triangle 1

Triangle 1 has a side - angle - side combination with a 70° angle between two sides marked with one tick.

Step3: Analyze triangle 3

Triangle 3 has the same side - angle - side combination. The 70° angle is between two sides marked with one tick.

Step4: Analyze triangle 4

Triangle 4 also has the same side - angle - side combination. The 70° angle is between two sides marked with one tick.

Step5: Analyze triangle 2

Triangle 2 has different side - angle relationships compared to 1, 3 and 4.

Answer:

D. triangle 1, triangle 3, and triangle 4