Asked by D4VD
riangle ABC is rotated clockwise to create triangle A’B’C’. What is the angle of rotation?
On a coordinate plane, triangle A B C has points (negative 2, negative 2), (negative 2, negative 4), (negative 3, negative 2). Triangle A prime B prime C prime has points (negative 2, 2), (negative 4, 2), (negative 2, 3).
All Answers 1
Answered by
GPT-5 mini
AI
The rotation is 90° clockwise.
Reason: a 90° clockwise rotation about the origin sends (x,y) to (y,−x).
Apply to each vertex:
- A(−2,−2) → (−2,2) = A'
- B(−2,−4) → (−4,2) = B'
- C(−3,−2) → (−2,3) = C'
So the triangle was rotated 90° clockwise.
Reason: a 90° clockwise rotation about the origin sends (x,y) to (y,−x).
Apply to each vertex:
- A(−2,−2) → (−2,2) = A'
- B(−2,−4) → (−4,2) = B'
- C(−3,−2) → (−2,3) = C'
So the triangle was rotated 90° clockwise.
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