MEANING OF SIMILARITY - THEOREMS

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In a pair of similar polygons, corresponding angles are congruent.

always

Right isosceles triangles are similar.

always

Right triangles are similar.

Sometimes

ABC ~ ADE AC = 4, AE = 7, AD = 10, what is the length of AB?

17 1/2

ABC ~ ADE BC is parallel to DE. AB = x, AD = 5, AC = x+1 and AE = 7. The value of x is

2.5

Isosceles triangles are similar.

Sometimes

ABC ~ ADE BC parallel to DE. BC = 6, DE = 9 Which of the following could be the lengths of AB and BD respectively?

4 and 2

Why are all equilateral triangles similar?

AAA Similarity Postulate

ABC ~ ADE If BC is parallel to DE, then all of the following are equivalent to each other except

CE/AC

Which of the triangle(s) shown is similar to triangle c?

h

Acute triangles are similar.

never


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