Similar Versus Congruent Shapes

The rectangles are similar.

Solve for x.

Mathematical Equivalence

ON

Are the two figures similar?

• yes

• no

Two shapes that are similar are also congruent

• True

• False

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

The following shapes are similar, the smaller one is the original shape, what is the scale factor?

• 8:12

• 3:2

• 4:8

• 6:12

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

What is the scale factor of these similar shapes?

• 10

• 7

• 9

• 11

The pair of figures are similar. Find the missing side.

• x = 9

• x = 28

• x = 7

• x = 63

Triangle ABC and XYZ are similar, ABC is the copy and XYZ is the original shape.  What is the scale factor or multiplier used to make the the smaller one larger?

• 2

• ½

• ⅖

• 5/2

Triangle ABC and XYZ are similar.  Use your knowledge of scale factor to find the length of X.

• 20

• 25

• 100

• 40