which of the following statements are true?

Question

1. all right triangles are similiar
2 all equilateral triangles are similiar
3. all isosceles triangles are similiar

a. 1. b. 1 and 2 c. 3 only d. 2 and 3 only e. 2 only f. 1 and 3 only g. 1, 2, 3 h. none of the above

Answer 1

e because isosceles triangles can be different shapes and not all right triangles have the same shape even thought they have a right angle.

Answer 2

Only #2 is true. All equilateral triangles have 3 angles of 60 degrees & are therefore similar.
Right triangles all have 1 angle of 90 degrees, but the other 2 only have to add up to 90 degrees. For example you can have a 45, 45, 90 right triangle (isosceles) and a 30,60,90 right triangle. they are not similar.
Isosceles triangles have 2 angles (& 2 sides) equal, but they can be different in different triangles. For example you can have a 45,45,90 (as above) isosceles triangle & a 30, 30, 120 isosceles. They are not similar.

Correct answer is e) 2 only.

Answer 3

For two triangles to be similar is for them to have all equal angles. Look at each choice and figure out how many angles do the triangles have to have in common.

(1) does every right triangle have the same angles?
(2) does every equilateral triangle have all the same angles?
(3) do all isosceles triangles have all the same angle?

Answer 4

e ) 2 only

because similar means the same ratio of all 3 sides, and only an equilateral traingle fits that definiton

Answer 5

1. F
2. T
3.f