Similarity Problems

Similar or not?

• Similar

• Not similar

Answer explanation

These triangles are not similar because the sides are not equally scaled

Similar or not?

• Similar

• Not similar

Answer explanation

While these shapes have the same sides, the angles are not same

Similar or not?

• Similar

• Not similar

Answer explanation

These figures are similar because the sides have all been scaled equally and the angles didn't change from one figure to the other

Similar or not?

• Similar

• Not similar

Answer explanation

The sides were not scaled equally

True or false?

Two equilateral triangles are similar

• True

• False

Answer explanation

Must be true. Dilate the first triangle using any center by a scale factor that is the ratio of the length of sides of the second triangle to the length of the sides of the first. Then apply the Angle-Side-Angle Triangle Congruence Theorem

Select ALL true statements given that angle AED is congruent to angle ABC

An equilateral triangle and a square are similar

• True

• False

Answer explanation

Definitely can't be true. Rigid motions and dilations both take line segment to line segments, so the image of a polygon must have the same number of sides.

Triangles ABC and DEF are similar and measurements as shown. What is the measure of EF?

• 21/2

• 15/2

• 9/2

• 3/2

Identify the similar triangles. Find x.

Triangles ABC and EFG are similar with measurements as shown. What is the ratio of AC/EG?

• 1/2

• 5/7

• 7/10

• 7/9