Question

Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′. If the endpoints of line segment AB are located at (0, -7) and (8, 8), what is the length of line segment A'B' ? Use the distance formula to help you decide: PLEASE HELP!!!

Answer 1

34

Explanation:

A = (0, -7)

A' = (0, -14)

B = (8, 8)

B' = (16, 16)

Distance formula =
`\sqrt{({x_(2)- x_(1)})^(2) + ({y_(2)- y_(1)})^(2)}`

=
`\sqrt{16^(2) + 30^2}`

=
`√(1156)`

= 34