Question

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.

Answer 1

Answer:

A

Step-by-step explanation:

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).