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kati45 [8]
3 years ago
15

Which pair of triangles must be similar? * 1 point Triangles 1 and 2 each have a 50 degree angle. Triangles 3 and 4 are both iso

sceles. They each have a 60 degree angle. Triangle 5 has a 40 degree angle and a 95 degree angle. Triangle 6 has a 35 degree angle and a 70 degree angle. Triangle 7 has a 60 degree angle and a 10 degree angle. Triangle 8 has a 60 degree angle and a 100 degree angle.
Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer:

Triangles 3 and 4 are both isosceles. They each have a 60 degree angle.

This is a similar triangle.

Step-by-step explanation:

Isosceles triangle is one in which two sides are equal.

Similar triangles are triangles which have all corresponding angles equal and which have corresponding sides with the same ratio.

Now the given isosceles triangle both have all three angles equal to 60 degrees which makes them similar triangles.

The other choices given are not similar triangles because

1) they do not have all corresponding angles equal

2) their lengths are unknown and cannot be assumed to be in ratio.

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All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle therefore 3,4,5 is not triangle.

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