Similarity

The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰.  A similar triangle is created by using a dilation with a scale factor of 2.  What are the measures of the angles of this triangle?

• 53⁰,78⁰, and 49⁰
• There is not enough information to answer this question.
• 106⁰,156⁰, and 98⁰
• 26.5⁰,39⁰, and 24.5⁰

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Find x

• 10.5
• 5
• 8.5
• 6

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

CCSS.7.NS.A.3

Why are the triangles similar?

• AA~
• SAS~
• SSS~
• AAS~

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Determine whether the triangles are similar.

• SSS~
• AA~
• SAS~
• not similar

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 21 feet. How tall is the building? (Draw a picture, set up a proportion)

• 16 feet
• 21 feet
• 24 feet
• 28 feet

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.SRT.A.2

When you dilate a figure you...

• slide it.
• turn it.
• flip it.
• make it larger or smaller.

Identify the perimeter and area ratios for the following figures.

• Per. Ratio=8  Area Ratio=64
• Per. Ratio=8/48  Area Ratio=64/2304
• Per. Ratio=8/48  Area Ratio=8/48
• Per. Ratio=8/48  Area Ratio=2304/64

An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.

• 288 feet
• 5802 feet
• 259 feet
• 275 feet

An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has an area of 4700 square feet. Find the area of the elementary court.

• 4700 square feet
• 5,802 square feet
• 5,222 square feet
• 3807 square feet

Are the triangles similar? If so, what similarity shortcut is used? Show all work.

• Similar.  SAS
• Similar.  AA
• Similar. SSS
• Not Similar