8.3 ABC Scale Factor and Dilations

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)

Which of the following shows the correct algebraic representations for using a scale factor of 3 to create similar figures on the coordinate plane?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)

Choose the correct algebraic representation to explain the effects on this dilated figure.

• (x,y)  ⋗ (2.5x, 2.5y)
• (x,y)  ⋗ (1.5x, 1.5y)
• (x,y)  ⋗ (3.5x, 3.5y)
• (x,y)   ⋗ (4x, 4y)

Choose the correct algebraic representation to explain the effects on this dilated figure.

• (x,y) ⋗ (2x,2y)
• (x,y) ⋗ (3x, 3y)
• (x,y) ⋗ (⅓x, ⅓y)
• (x,y) ⋗ (½x,½y)

Identify the transformation that is a dilation.

• A(0,3) B(4,4) C(2,2) -> A'(0,9) B'(12,12) C'(6,6)
• A(2,3) B(3,5) C(5,7) -> A'(5,6) B'(6,8) C'(8,10)
• A(5,2) B(3,7) C(7,9) -> A'(2,-1) B'(0,4) C'(4,6)
• A(1,2) B(3,4) C(5,6) -> A'(4,5) B'(6,7) C'(8,9)

Tags

CCSS.HSG.CO.A.2

A dilation is which of the following: 

• An enlargement
• A reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

Tags

CCSS.8.G.A.3

Scale Factor means which of the following: 

• The scale one uses to measure the distance from zero. 
• The factor that shows by how much the prime image is scaled up or down. 
• The number that you add to the coordinates of the pre-image to find the coordinates of the prime image. 
• All of the above

Tags

CCSS.7.G.A.1

If point L has been dilated by a scale factor of 2/3 what is coordinate of it's image? 

• (-6, -3)
• (-3, -6)
• (-4, -2)
• (-2, -4)

Tags

CCSS.8.G.A.3

An office supply store sells index cards in two different sizes. The large size is a dilation of the small size. Both sizes are shown. Find the scale factor of the dilation.

• 2
• 3
• 4
• 5

The algebraic representation shown is used to dilate a quadrilateral with vertices A(-2,8) B(-2,0) C(12,0) and D(6,8).

(x,y) → (½x,½y)

What are the new coordinates of the vertices of A'B'C'?

• A' (-1,4) B' (-1,0) C'(6,0) D'(3,4)

• A' (1,4) B' (1,0) C'(-6,0) D'(-3,4)

• A' (1,-4) B' (1,0) C'(-6,0) D'(-3,-4)

• A' (-1,-4) B' (-1,0) C'(6,0) D'(3,-4)