Similarity

Which of the following is NOT true about similar figures?

• A) Similar figures always have the same shape.
• B) Similar figures always have the same size.
• C) Similar figures always have corresponding angles that are equal.
• D) Similar figures always have corresponding sides that are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are these triangles similar?
Known angles in Triangle 1:  40⁰,60⁰
Known angles in Triangle 2:  80⁰,40⁰

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

Tags

CCSS.HSG.SRT.A.2

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75
• 9.75
• 10
• 12

Tags

CCSS.HSG.SRT.A.2

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

• x = 12
• x = 3
• x = 40
• x = 4

Tags

CCSS.HSG.SRT.A.2

Calculate the value of A'D'.

• 10

• 15

• 20

• 25

Tags

CCSS.HSG.SRT.A.2

What is the height of the Tree?

• 20
• 15
• 30
• 10

Tags

CCSS.HSG.CO.C.9

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.
• No, not similar because they are the same shape, but side lengths are not proportional.
• Yes, same shape
• No, different sizes

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes