Identifying Congruent and Similar Shapes

All angles in similar figures are congruent.  

• True
• False

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.

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

• x = 12
• x = 3
• x = 40
• x = 4

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

• x = 20
• x = 12
• x = 5
• x = 4

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 

• 7 in
• 9 in
• 12 in
• 14 in

All corresponding angles in congruent figures are congruent.  

• True
• False

Tell whether the two figures are congruent.

• Yes, same size and same shape
• No, same shape but different sizes
• No, different size and different shapes