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?

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

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?

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

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?

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

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?

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

Dilation on a Line

Information: Dilation on a Line