Similar Figures

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

• 20 feet
• 24 feet
• 29 feet
• 51 feet

Tags

CCSS.HSG.SRT.B.5

Triangle ABC is similar to triangle XYZ.  What is the length of line segment BC?

• 5 cm
• 7.5 cm
• 8 cm
• 9 cm

Tags

CCSS.HSG.SRT.A.2

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

• x = 20
• x = 12
• x = 5
• x = 4

Tags

CCSS.HSG.SRT.B.5

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

• x = 1
• x = 3
• x = 9
• x = 5

Tags

CCSS.HSG.SRT.A.2

Find the missing side length.

• 32
• 35
• 20
• 16

Tags

CCSS.HSG.CO.C.11

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 perimeter of the large triangle. (First find the missing side length)

• 24
• 36
• 12
• 54

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

Using a proportion, find the height of the tree.

• x = 0.0625 ft.
• 16 ft
• x = 16 ft.

Tags

CCSS.HSG.CO.C.9

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree? Hint: the figures are similar triangles.

• 8 feet
• 72 feet
• 36 feet
• 144 feet

Tags

CCSS.7.EE.B.3