Proportions & similarity

If two polygons are similar, then the corresponding side lengths are ___________.

• congruent
• similar
• equal
• proportional

Tags

CCSS.6.RP.A.3A

If two polygons are similar, then the corresponding angles are ___________.

• congruent
• similar
• equal
• proportional

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

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

• x = 12
• x = 3
• x = 40
• x = 4

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

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

• 3 in
• 2 in.
• 4 in
• 1 in

Tags

CCSS.7.G.A.1

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

Solve the proportion.

• k=5
• k=3.3333333
• k=60
• k=90

Tags

CCSS.7.RP.A.2B

A telephone booth that is 8ft tall casts a shadow that is 4ft long. Find the height of a lawn gnome that casts a 2ft shadow.

• 2 ft

• 4 ft

• 6 ft

• 8 ft

Tags

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.A.3

The triangles are similar. Solve for x.

• 4

• 5

• 6

• 7

Tags

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for x and y.

• x=11.43, y=42.78

• x=11.43, y=192.5

• x=14, y=48

• x=10, y=11.43

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6