In quadrilateral ABCD, ∠ABC is a right angle and AB = 4 units. Quadrilateral ABCD is dilated by a scale factor of 2 with point B
as the center of dilation, resulting in the image, quadrilateral A'B'C'D'. Which statement is true? A.
A'B' is 8 units long and lies on the same line as AB.
B.
A'B' is 6 units long but lies on a different line than AB.
C.
A'B' is 8 units long but lies on a different line than AB.
D.
A'B' is 6 units long and lies on the same line as AB.
the scale factor applies to all lines and dimensions. so, the new, dilated line will be the length of the original line × 2.
that means 8 units.
and since B is the center, the original line AB will be mirrored and stretched to the other side of B (meaning B' = B). therefore, AB and A'B' are then on on line (with the length of 4+8 = 12 units).
