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?

Marqueu on calgui

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?

Marqueu on calgui

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

Comprova la meva reposta (3)

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?

Marqueu on calgui

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

Comprova la meva reposta (3)

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?

Marqueu on calgui

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

Comprova la meva reposta (3)

Dilation on a Line

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