The correct statement is "A translation units to the right, followed by a -degree counterclockwise rotation about the origin"
<u>Option A:</u>
Translate units up, we get .
When rotating a point degrees counterclockwise about the origin our point becomes .
So, -degree counterclockwise rotation about the origin will give .
This is not equal to .
So, this option is incorrect.
<u>Option B:</u>
When rotating a point degrees counterclockwise about the origin our point becomes .
So, -degree counterclockwise rotation about the origin will give .
Now, translating units up, we get
This is not equal to .
So, this option is incorrect.
<u>Option C: </u>
When rotating a point degrees counterclockwise about the origin our point becomes
So, -degree counterclockwise rotation about the origin will give .
Now, translating units right, we get
This is not equal to .
So, this option is incorrect.
<u>Option D: </u>
Translate units right, we get
When rotating a point degrees counterclockwise about the origin our point becomes
So, -degree counterclockwise rotation about the origin will give .
This is equal to .
So, this option is correct.
Learn more about translation and rotation here:
brainly.com/question/15577335?referrer=searchResults