Dilation Centered at a Point

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.8.G.A.3

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

A three-inch line segment is dilated by a scale factor of 6 and centered at its midpoint. What is the length of its image?

• 9 inches

• 2 inches

• 15 inches

• 18 inches

Tags

CCSS.8.G.A.3

After a dilation with center (0, 0) the image of DB is D'B'. If DB = 4.5 and D'B' = 18, the scale factor of this dilation is

• 1/5

• 5

• 1/4

• 4

Tags

CCSS.8.G.A.3

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation centered at the point (0, 0)?

• 4

• 2

• 1

• 1/2

Tags

CCSS.HSG.CO.A.2

Figure A′B′C′D′F′ is a dilation of figure ABCDF by a scale factor of ½ ​​. The dilation is centered at (–4, –1).

Which statement is true?

• A

• B

• C

• D

Tags

CCSS.8.G.A.3

The segment AB is dilated to create the segment A'B'. What are the coordinates of the center of the dilation?

• ( 5, 7 )

• ( 8, 1 )

• ( 0, 4 )

• ( -1, 4 )

Tags

CCSS.8.G.A.3

If you were to dilate line AB using point C as the center of dilation, which of the below would best describe the newly created image? (You may assume that the scale factor is not 1.)

• A line segment

• A ray

• A line that is parallel to line AB

• A line that is in the same place as line AB

Tags

CCSS.HSG.CO.A.2

Which transformation results in a figure that is similar to the original figure but has a greater area?

• a dilation of triangle QRS by a scale factor of 0.25

• a dilation of triangle QRS by a scale factor of 0.5

• a dilation of triangle QRS by a scale factor of 1

• a dilation of triangle QRS by a scale factor of 2

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2