Similar Figures

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet
• 21 feet
• 27 feet
• 32 feet

Tags

CCSS.HSG.SRT.C.8

Find the height of the person using what you know about similar triangles.

• 4 ft
• 6.25 ft
• 1.25 ft
• 5.75 ft

Tags

CCSS.HSG.SRT.B.5

Solve for f.

• 6
• 4
• 3
• 8

Tags

CCSS.HSG.SRT.B.5

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75
• 9.75
• 10
• 12

Tags

CCSS.HSG.SRT.A.2

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

All angles in similar figures are congruent.  

• True
• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Using a proportion, find the height of the tree.

• x = 0.0625 ft.
• 16 ft
• x = 16 ft.

Tags

CCSS.HSG.CO.C.9

On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?

• 100 km
• 130 km
• 70 km
• 150 km

Tags

CCSS.7.G.A.1

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

• 7.5
• 13.5
• 1.5
• 1.7

Tags

CCSS.6.RP.A.3B

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

• 14 in 
• 7 in
• 42 in
• 56 in

Tags

CCSS.7.RP.A.2C