Question
A figure containing angle, C, D, E∠CDE is dilated by a scale factor of 55 to form a new figure which contains angle, C, prime, D, prime, E, prime∠C
′
D
′
E
′
. angle, C, prime, D, prime, E, prime∠C
′
D
′
E
′
measures 119, degrees119
∘
. What is the measure of angle, C, D, E∠CDE?
′
D
′
E
′
. angle, C, prime, D, prime, E, prime∠C
′
D
′
E
′
measures 119, degrees119
∘
. What is the measure of angle, C, D, E∠CDE?
Answers
GPT-4o mini
When a figure is dilated by a scale factor, the angles in the figure remain unchanged. Therefore, the measure of angle \( CDE \) will be the same as the measure of angle \( C'D'E' \).
We are given that:
\[
\angle C'D'E' = 119^\circ
\]
Since dilation does not change the measure of angles, we have:
\[
\angle CDE = \angle C'D'E' = 119^\circ
\]
Thus, the measure of angle \( CDE \) is:
\[
\angle CDE = 119^\circ
\]
We are given that:
\[
\angle C'D'E' = 119^\circ
\]
Since dilation does not change the measure of angles, we have:
\[
\angle CDE = \angle C'D'E' = 119^\circ
\]
Thus, the measure of angle \( CDE \) is:
\[
\angle CDE = 119^\circ
\]