Line Dilations

Front

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?

Back

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

Front

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?

Back

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

Front

A line passing through points (1,1) and (5,7) is dilated by a scale factor of 3 centered at the origin. What happens to the line?

Back

is parallel to the original line

Front

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?

Back

18 inches

Front

The line 3y = -2x + 8 is transformed by a dilation centered at the origin. Which linear equation could be its image? Options: 2x + 3y = 5, 2x - 3y = 5, 3x + 2y = 5, 3x - 2y = 5

Back

2x + 3y = 5

Front

Line segment A'B' with endpoints (4, -2) and (16, 14) is the image of AB after a dilation of 1/2 centered at the origin. What is the length of AB?

Back

40

Front

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

Back

EC : EA

Front

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

Back

4

Front

Coordinates of B' and C' after BC undergoes a dilation centered at A(3, 4) with a scale factor of 2.

Back

B'(5,2) and C'(1, -2)

Front

The line represented by the equation 4y = 3x+7 is transformed by a dilation centered at the origin. Which linear equation could represent its image? Options: 3x - 4y = 9, 3x + 4y = 9, 4x - 3y = 9, 4x + 3y = 9

Back

3x - 4y = 9