319,185 views
17 votes
17 votes
Which pair of triangles are similar?ATriangles 1 and 2 each have a 36° angle.Triangles 3 and 4 each have a 42° angle.Triangle 5 has a 70 angle and a 95° angle. Triangle 6 has a 30° and a 75º.DTriangle 7 has a 30 angle and a 90°. Triangle 6 has a 30° and a 60.

User Armfoot
by
2.9k points

1 Answer

19 votes
19 votes

For the given question we will check which pair of triangles are similar:

Option A:

Triangles 1 and 2 each have a 36° angle.

So, they are not similar because we need a pair of congruent angles

Option B:

Triangles 3 and 4 each have a 42° angle.

they are not similar as option A

Option C:

Triangle 5 has a 70 angle and a 95° angle. Triangle 6 has a 30° and a 75º.

The triangles are not similar, there are no congruent angles

Option D:

Triangle 7 has a 30 angle and a 90°. Triangle 6 has a 30° and a 60.

The third angle of triangle 7 = 180 - (30+90) = 60

The third angle of triangle 6 = 180 - (30+60) = 90

User Lyman Zerga
by
3.1k points