Dilation on a Line

Dilation all Points on a line

Make sure point D is on the line segment AB by making d=0. Move the slider to dilate. Observe: If the center of dilation D is on the line being dilated, what happens to the line?

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A
the line changes depending on the dilation factor ("d"). Therefore, it produces a new line
B
the line remains the same no matter the dilation factor. Therefore, the dilated line is the same as original

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Make sure point D is NOT on the line segment AB by moving point D up or down, out of the line. Move the slider to dilate. Observe: If the center of dilation D is NOT on the line being dilated, what happens to the line?

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A
the line changes depending on the dilation factor ("d"). Therefore, it produces a new parallel line
B
the line remains the same no matter the dilation factor. Therefore, the dilated line is the same as original

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If the original line is the same as the dilated line, what happens to the equation of the line of the dilated line after the original is dilated?

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A
It has the same slope as the original but a different y-intercept
B
It has the same slope and y-intercept as the original
C
It has the negative reciprocal slope as the original but a different y-intercept
D
It has the negative reciprocal slope as the original and same y-intercept

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If the original line is parallel to the dilated line, what happens to the equation of the line of the dilated line after the original is dilated?

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A
It has the same slope as the original but a different y-intercept
B
It has the same slope and y-intercept as the original
C
It has the negative reciprocal slope as the original but a different y-intercept
D
It has the negative reciprocal slope as the original and same y-intercept

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Dilation on a Line

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