Does the dilation pass through the center of dilation? Choose the best answer below.

Question

(1 point)
Responses

A′B′¯¯¯¯¯¯¯¯¯¯
passes through the center of dilation because it is an enlargement of AB¯¯¯¯¯¯¯¯
by a scale factor of 4
line segment cap A prime cap b prime passes through the center of dilation because it is an enlargement of line segment cap A cap b by a scale factor of 4

A′B′¯¯¯¯¯¯¯¯¯¯
does not pass through the center of dilation because it is taken a line parallel to AB¯¯¯¯¯¯¯¯
line segment cap A prime cap b prime does not pass through the center of dilation because it is taken a line parallel to line segment cap A cap b

A′B′¯¯¯¯¯¯¯¯¯¯
does not pass through the center of dilation because it is a reduction of AB¯¯¯¯¯¯¯¯
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

A′B′¯¯¯¯¯¯¯¯¯¯
passes through the center of dilation because it is taken a line parallel to AB¯¯¯¯¯¯¯¯
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
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Answer 1

The correct answer is:

A′B′¯¯¯¯¯¯¯¯¯¯ does not pass through the center of dilation because it is taken a line parallel to AB¯¯¯¯¯¯¯¯. line segment cap A prime cap b prime does not pass through the center of dilation because it is taken a line parallel to line segment cap A cap b.

In general, under dilation, if the original line segment (AB) is dilated and is parallel to the line segment (A'B'), the resulting line segment (A'B') does not pass through the center of dilation unless it is coincident with the center of dilation itself.