(1 point)
Responses
A′B′¯¯¯¯¯¯¯¯¯¯
𝐴
′
𝐵
′
¯
passes through the center of dilation because it is taken a line parallel to AB¯¯¯¯¯¯¯¯
𝐴
𝐵
¯
line segment cap A prime cap b prime passes through the center of dilation because it is taken a line parallel to line segment cap A cap b
A′B′¯¯¯¯¯¯¯¯¯¯
𝐴
′
𝐵
′
¯
does not pass through the center of dilation because it is a reduction of AB¯¯¯¯¯¯¯¯
𝐴
𝐵
¯
by a scale factor of 1/4
line segment cap A prime cap b prime does not pass through the center of dilation because it is a reduction of line segment cap A cap bby a scale factor of 1/4
1 answer
The correct answer is:
A′B′¯¯¯¯¯¯¯¯¯¯ does not pass through the center of dilation because it is a reduction of AB¯¯¯¯¯¯¯¯.
In a dilation, the image (A'B') will not pass through the center of dilation if it is a reduction (scale factor less than 1). The center of dilation is the point from which all points on the original figure and the image are scaled. If the figure is reduced, then the corresponding points on the original figure and the image do not align through the center.
