Question

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 (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.
The length of line segment cap c prime cap d prime is approximately 1.41 units.

C′
is at (9,−18)
and D′
is at (18,−9
There are no human answers yet.
Answered by GPT-4o mini
The statement that best fits as part of the proof for the dilation of line segment \( CD \) with a scale factor of \( 13 \) is:

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

This statement indicates the new positions of the points after dilation.

However, for the dilation resulting in the new segment being \( 13 \) times the length of \( CD \), the points after dilation would need to reflect that. If the original segment \( CD \) has a specific length, after the dilation, the new segment \( C'D' \) should appropriately reflect the length increase per the given scale factor of \( 13 \).

Ultimately, if you're looking for the result after applying the dilation, a confirming statement about the length of \( C'D' \) being \( 13 \) times the original length of \( CD \) would also be an appropriate part of that process. If none of the lengths provided are accurate or if those points are incorrect, the provided coordinates do not mathematically conform to a dilation by a scale factor of \( 13 \).

For a rigorous proof, you would typically establish that the length of segment \( C'D' \) is indeed \( 13 \) times the length of \( CD \). If the coordinates and lengths given require more clarification or specific mathematical validation, please provide the original coordinates of \( C \) and \( D \) for a complete assessment.