Mixed Review

If Hector dilates Figure A with the center of dilation at (0, 0) and a scale factor of 2, what will be the coordinates of the vertices of the similar figure that results?

• (-2, -3), (-2, 3), (2, 3), and (2, -3)

• (-3, -2), (-3, 2), (3, 2), and (3, -2)

• (-4, -6), (-4, 6), (4, 6) and (4, -6)

• (-6, -4), (-6, 4), (6, 4), and (6, -4)

Answer explanation

When dilating a figure, multiply each x and y by the scale factor.

Tags

CCSS.8.G.A.3

If Hector translates Figure A 1 unit to the left, what will be the coordinates of the vertices of the similar figure that results?

• (-4, -2), (-4, 2), (2, 2), and (2, -2)

• (-2, -2), (-2, 2), (4, 2), and (4, -2)

• (-3, -1), (-3, 3), (3, 3) and (3, -1)

• (-3, -3), (-3, 1), (3, 1), and (3, -3)

Answer explanation

When translating a figure, subtract from the x when moving left, add to the x when moving right, subtract from the y when moving down, and add to the y when moving up.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• The equation is a function because for each y-value there is only one x-value.

• The equation is a function because for each x-value there is only one y-value.

• The equation is not a function because 5 is a y-value for more than one x-value.

• The equation is not a function because no y-value is the same as its x-value.

Tags

CCSS.8.F.A.1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Brianna says that the graph represents a function. Is Brianna correct?

• Yes, each x-value has exactly one y-value.

• Yes, it passes the vertical line test.

• No, it does not pass the vertical line test.

• No, each y-value does not have exactly one x-value.

Figure ABCD is dilated by a scale factor of 3 with a center of dilation at the origin to form figure A'B'C'D'. What are the coordinates of B'?

• (3, 6)

• (1, 2)

• (9, 18)

• (6, 12)

Answer explanation

When dilating a figure, multiply each x-value and each y-value by the scale factor.

Tags

CCSS.8.G.A.3

Which of the following describes the sequence of transformation?

• Dilation by a scale factor of 3 followed by a reflection over the y-axis.

Answer explanation

To find the scale factor, divide the new by the old.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

What is the scale factor that was used in the dilation shown?

Answer explanation

To find the scale factor, divide the new by the old.

Tags

CCSS.8.G.A.3

Answer explanation

The order of the letters must correspond.

Tags

CCSS.8.G.A.3

What is the equation to Line A?

Answer explanation

y = mx + b

m = slope (rise over run)

b = y-intercept

Tags

CCSS.8.EE.B.5