Similar Shapes

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

• Congruent
• Vertical
• Similar
• Complementary 

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.HSG.SRT.A.2

Find the length of x

• x = 1
• x = 2
• x = 7
• x = 1/7

Tags

CCSS.HSG.SRT.A.2

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

• 20
• 25
• 100
• 40

Tags

CCSS.HSG.SRT.A.2

Find the value of x.

• x = 4.5
• x = 9
• x = 30
• x = 3

Tags

CCSS.HSG.SRT.B.4

• F
• G
• H
• I

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

CCSS.7.G.A.1

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

• 2/3

• 64/729

• 512/19683

• 8/27

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

CCSS.7.G.B.6

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

Tags

CCSS.7.RP.A.2

CCSS.7.G.A.1

The surface area of a certain prism is 1088 square km and its volume is 13312 cubic km. If a similar solid has a surface area of 425 square km, what is this similar solids volume?

• 3250 cubic km

• 5200 cubic km

• 1950 cubic km

• 8320 cubic km

Tags

CCSS.7.RP.A.3

Two similar cylinders have surface areas of 40π ft² and 90π ft². What is the ratio of the height of the large cylinder to the height of the small cylinder?

• 4/9

• 2/3

• 8/27

• 16/81

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

CCSS.7.G.B.6