Select the correct answer.
Which triangles in the diagram are congruent?
Set of 4 triangles are plotted on a grid. Triangle 1 has 2 congruent sides and the angle between them is 70 degrees. Triangle 2 has 3 congruent sides. Triangle 3 has 2 congruent sides and the angle between them is 70 degrees.
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
C. triangle 1 and triangle 3
The correct answer is C. Triangle 1 and Triangle 3 are congruent because they both have 2 congruent sides and the angle between them is 70 degrees.
To determine which triangles are congruent, we need to compare their side lengths and angle measures.
According to the information given, Triangle 1 has 2 congruent sides and an angle measure of 70 degrees. Triangle 2 has 3 congruent sides, and Triangle 3 has 2 congruent sides with an angle measure of 70 degrees. Triangle 4 is not described in the information provided.
Based on this information, we can conclude that Triangle 1 and Triangle 3 are congruent because they both have 2 congruent sides with the same angle measure. Therefore, the correct answer is option C: Triangle 1 and Triangle 3 are congruent.