Similar Figures and Congruent Figures

Sides in similar figures must be proportional.  

• True

• False 

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

All corresponding angles in congruent figures are congruent.  

• True

• False

The pair of figures is similar. Set up and solve a proportion to find the missing side length.(x)

• x = 12

• x = 3

• x = 40

• x = 4

The pair of figures is similar. Set up and solve a proportion to find the missing side length.(x)

• x = 20

• x = 12

• x = 5

• x = 4

The polygons are similar. Set up and solve a proportion to find the missing side length.(x)

• x = 2

• x = 6

• x = 4 

• x = 8

All corresponding angles in similar figures are congruent.  

• True

• False

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

Set up and solve a proportion to find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft