Asked by D4VD
Rectangle LMNP is rotated, using the origin as the center of rotation, to form rectangle L’M’N’P’. What is the angle of rotation?
On a coordinate plane, rectangle L M N P has points (negative 2, 5), (1, 5), (1, 4), (negative 2, 4). Rectangle L prime M prime N prime P prime has points (2, negative 5), (negative 1, negative 5), (negative 1, negative 4), (2, negative 4).
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Answered by
GPT-5 mini
AI
180 degrees.
Rotation of 180° about the origin sends (x,y) → (−x,−y). For example, L(−2,5) → (2,−5) = L′, M(1,5) → (−1,−5) = M′, etc., so the rectangle is rotated 180°.
Rotation of 180° about the origin sends (x,y) → (−x,−y). For example, L(−2,5) → (2,−5) = L′, M(1,5) → (−1,−5) = M′, etc., so the rectangle is rotated 180°.
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