Dilations on Graph

A scale factor of less than one means

• that the image will be larger than the pre-image.

• That the image will be the same as the pre-image.

• That you need to subtract that amount off  of each side.

• That the image will be a reduction of the pre-image.

Tags

CCSS.8.G.A.3

(x, y) -> (2x, 2y)

What does the coefficient 2 mean?

• move points 2 units to the right and 2 units up

• scale factor is 2, creating a new figure half the size of the original

• scale factor is 2, making a figure twice the size of the original

• rotate the figure 2 quadrants

Tags

CCSS.8.G.A.3

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

Tags

CCSS.8.G.A.3

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

Tags

CCSS.7.G.A.1

Which is FALSE about dilations?

• The shape is the same.

• The size changes.

• The sides of the shape get larger or smaller.

• The angles of the shape get larger or smaller.

Tags

CCSS.8.G.A.3

In the diagram below, CD is the image of AB after a dilation of scale factor k with center E. Which ratio is equal to the scale factor k of the dilation?

• EC : EA

• BA : EA

• EA : BA

• EA : EC

Tags

CCSS.7.G.A.1

On the graph below, point A(3, 4) and BC with coordinates B(4, 3) and C(2, 1) are graphed. What are the coordinates of B' and C' after BC undergoes a dilation centered at point A with a scale factor of 2?

• B'(5,2) and C'(1, -2)

• B'(6, 1) and C'(0, -1)

• B'(5, 0) and C'(1, -2)

• B'(5, 2) and C'(3, 0)

Tags

CCSS.8.G.A.3

A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationship between the given line segment and its image is true?

• The line segments are perpendicular, and the image is one-half of the length of the given line segment.

• The line segments are perpendicular, and the image is twice the length of the given line segment.

• The line segments are parallel, and the image is twice the length of the given line segment.

• The line segments are parallel, and the image is one-half of the length of the given line segment

Tags

CCSS.8.G.A.3

The line whose equation is 3x – 5y = 4 is dilated by a scale factor of 5/3 centered at the origin. Which statement is correct?

• The image of the line has the same slope as the pre-image but a different y-intercept.

• The image of the line has the same y-intercept as the pre-image but a different slope.

• The image of the line has the same slope and the same y-intercept

  as the pre-image.

• The image of the line has a different slope and a different y-intercept from the pre-image.

Tags

CCSS.HSG.CO.A.2

A line that passes through the points whose coordinates are (1,1) and (5, 7) is dilated by a scale factor of 3 and centered at the origin. The image of the line

• is perpendicular to the original line

• is parallel to the original line

• passes through the origin

• is the original line

Tags

CCSS.8.G.A.3