Similar Triangles AA SSS SAS

Determine whether the triangles are similar. Explain your reasoning.

Answer explanation

Corresponding sides are not proportional

Tags

CCSS.HSG.SRT.A.2

While on vacation, Gatlin is standing next to a palm tree at his hotel and wants to use his shadow to help measure the palm tree. Gatlin is 6 feet 3 inches tall, and his shadow is 9 feet 9 inches long. If the length of the tree’s shadow is 38 feet 6 inches, about how tall is the palm tree?

• 6 feet

• 24.7 feet

• 60.1 feet

• There is not enough information given to determine the height of the palm tree.

Answer explanation

Convert the inches to decimals

3 in = .25 ft

6 in = .5 ft

9 in = .75 ft

Then sketch right triangles to help you identify corresponding sides.

Tags

CCSS.HSG.SRT.B.4

The Power Tower ride at Cedar Point amusement park is casting a shadow that is 76 feet long. Addy is 5 ft 6 in tall and her shadow is 18 in long. About how tall is the Power Tower (round to the nearest tenth if necessary).

• 300 ft

• 207.2 ft

• 278.7 ft

• 20.7 ft

Answer explanation

$\frac{x}{76}=\frac{5.5}{1.5}$

Tags

CCSS.HSG.SRT.C.8

• SAS~

• SSS~

• AA~

• Not similar ~

Tags

CCSS.HSG.SRT.B.5

• SSS~

• SAS~

• AA~

• Not Similar

Tags

CCSS.HSG.SRT.B.5

• SSS~

• SAS~

• AA~

• Not similar

Tags

CCSS.HSG.SRT.B.5

• SSS~

• SAS~

• AA~

• Not similar

Tags

CCSS.HSG.SRT.B.5

• SSS~

• SAS~

• AA~

• Not similar

Tags

CCSS.HSG.SRT.B.5

• SSS~

• SAS~

• AA~

• Not similar

Tags

CCSS.HSG.SRT.B.5

• SSS~

• SAS~

• AA~

• Not similar

Tags

CCSS.HSG.SRT.B.5