Question

Use the image to answer the question.

A coordinate plane's x-axis ranges from negative 1 to 10 and its y-axis ranges from negative 8 to 2, both by 1-unit increments. Point upper C, point upper D, and a third unlabeled point are plotted and connected by lines.
▶Click for Long Desc

Which statement is part of the proof that the dilation of CD¯¯¯¯¯¯¯¯
with a scale factor of 13
and a center of dilation at the origin will result in a line segment that is 13
the length of CD¯¯¯¯¯¯¯¯
?

(1 point)
Responses

C′
is at (9,−18)
and D′
is at (18,−9)
.
upper C prime is at open paren 9 comma negative 18 close paren and upper D prime is at open paren 18 comma negative 9 close paren .

C′
is at (2,−1)
and D′
is at (1,−2)
.
upper C prime is at open paren 2 comma negative 1 close paren and upper D prime is at left parenthesis 1 comma negative 2 right parenthesis .

The length of C′D′¯¯¯¯¯¯¯¯¯¯¯
is approximately 4.24.
The length of line segment cap c prime cap d prime is approximately 4.24.

The length of C′D′¯¯¯¯¯¯¯¯¯¯¯
is approximately 1.41 units.

Answer 1

C′ is at (2, −1) and D′ is at (1, −2).

(Scaling the original points (6, −3) and (3, −6) by 1/3 gives these image coordinates.)