The line representing the equation x+y=3 is dilated by a scale factor of 2.5, with the center of dilation (3,0). Which statement is true?

A - the dialated line lies on the original line

b - the dilated line is perpendicular to the original line

c - the dilated line is parallel to the original line and to its left

d - the dilated line is parallel to the original line and to its right

Question

Mathematics

Conor Sheppard

23 August, 07:31

The line representing the equation x+y=3 is dilated by a scale factor of 2.5, with the center of dilation (3,0). Which statement is true?

A - the dialated line lies on the original line

b - the dilated line is perpendicular to the original line

c - the dilated line is parallel to the original line and to its left

d - the dilated line is parallel to the original line and to its right

+1

Answers (1)

Know the Answer?

Fatima Baldwin · Answer 1

A - the dialated line lies on the original line

Step-by-step explanation:

The center of dilation is invariant (doesn't move). Hence the line through it still goes through it after dilation. The direction of the line is not changed by dilation, so the dilated line lies on the original line.