Question

Which pairs of triangles appear to be congruent? Check all that apply.

1
2
3
A. Triangles 2 and 3
B. Triangles 2 and 4
C. Triangles 3 and 4
I D. Triangles 1 and 2
I E. Triangles 1 and 4
F. Triangles 1 and 3

Answer 1

Answer is B, D & E

Explanation:

Select B, D & E

Answer 2

E. Triangles 1 and 4

Explanation:

Triangles are congruent when they have exactly the same three sides and exactly the same three angles

By inspection, we can see that triangle 3 is different from the others as it has a right angle symbol, so we can discard this one.

On measuring the side lengths of triangles 1, 2 and 4, we can determine that triangles 1 and 4 have exactly the same side lengths as each other, yet triangle 2 is different. Therefore, we can discard triangle 2.

Therefore, as triangles 1 and 4 have exactly the same three sides and exactly the same three angles they are congruent.