Similar Triangles Word Problems

If two figures are similar their angles are______.

• proportional
• congruent
• supplementary
• complementary

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

If two figures are similar, the corresponding sides are ______________.

• equal
• congruent
• proportional
• none of these

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner? 

• 84 in
• 71 in
• 47.25 in
• 80

Tags

CCSS.HSG.SRT.A.1

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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?

• 144 feet
• 72 feet
• 36 feet

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Use the information in the diagram to determine the height of the tree.

• 80 feet
• 320 feet
• 40 feet
• 160 feet

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?

• 9 m
• 15.2 m
• 12 m
• 17.5 m

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.6

What similarity theorem would prove that these triangles are similar?

• SAS∼
• SSS∼
• AA∼
• Side Splitter

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Are the triangles similar?

• Yes
• No

Tags

CCSS.HSG.SRT.A.2

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 
• proportional, congruent 
• congruent, congruent
• proportional, proportional

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6