Similarity and Dilations

Where is the center of dilation?

• A'
• 0,0
• A
• B

Tags

CCSS.8.G.A.3

What is the scale factor of the dilation. A'B'C' is the image.

• 2
• 1/3
• 3/2
• 2/3

Tags

CCSS.HSG.CO.A.2

Which of these are not preserved by a dilation?

• orientation
• side lengths
• parallelism
• angle measures

Tags

CCSS.8.G.A.3

Is GHIJKL a dilation of ABCDEF? What is the scale factor

• No it isn't, the sides are not proportional
• It is, the scale factor is 1/2
• It is, the scale factor is 2
• No it isn't, the angles are changed

Tags

CCSS.HSG.CO.A.2

What is the center of dilation and the scale factor as ABCD is dilated to A'B'C'D'?

• Origin, k = 1/2
• Origin, k = 2
• Point A, k=1/2
• Point D', k = 1/2

Tags

CCSS.8.G.A.3

Which additional information would not allow us to prove these triangles are similar?

• ∠A≅∠F
• ∠C≅∠D  
• AB ≅ FE, AC ≅ FD
• AB ≅ ED, BC ≅ ED

Tags

CCSS.HSG.SRT.B.5

This figure shows two similar triangles, solve for x.

• x=15.3
• x=5
• x=3.2
• x=5.75

Tags

CCSS.HSG.SRT.A.2

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

Tags

CCSS.8.G.A.3

A dilation is given by the transformation (x, y) → (2.5x, 2.5y). What is the scale factor?

• 2.5
• 1/2.5
• This is not a dilation
• The scale factor cannot be determined

Tags

CCSS.8.G.A.3

What is the value of X?

• X=4
• X=6
• X=3
• X=2

Tags

CCSS.HSG.SRT.A.2