Similarity Applications

The corresponding diagonals of two similar rectangular rooms are in the ratio of 1:5.  What is the ratio of their areas?

• 1:10
• 1:25
• 1:5
• 5:25

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.B.5

Determine whether the triangles are similar(name the postulate or theorem you used).

• SSS similar
• AA similar
• SAS similar

Tags

CCSS.HSG.SRT.B.5

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity
• Yes, by SAS Similarity
• Yes, by SSS Similarity
• No, not similar

Tags

CCSS.HSG.SRT.B.5

Solve for x.

• x = 5
• x = 3
• x = 14
• x = 1

Tags

CCSS.8.G.A.5

What is the value of X?

• X=4
• X=6
• X=3
• X=2

Tags

CCSS.HSG.SRT.A.2

What is the value of X and Y ?

• X=2.5 and Y=6.5
• X=6.5 and Y=2.5
• X=3 and Y=7
• X=2 and Y= 5

Tags

CCSS.HSG.SRT.A.2

Are these triangles similar?
Known angles in Triangle 1:  40⁰,60⁰
Known angles in Triangle 2:  60⁰,40⁰

• Yes
• No
• There is not enough information to decide.

Tags

CCSS.HSG.SRT.A.2

Are these triangles similar?
Angles in Triangle 1:  40⁰,60⁰, and 80⁰
Angles in Triangle 2:  40⁰,50⁰, and 90⁰

• Yes
• No
• There is not enough information to decide.

Tags

CCSS.HSG.SRT.A.2

What is the height of the Tree?

• 20
• 15
• 30
• 10

Tags

CCSS.HSG.CO.C.9