Question

triangle mnp is rotated -270° about the origin. if m(7, -2), n(4, -3), and p(2, -1), what are the coordinates of the vertices of the image? enter your answers in the boxes. m ( , ) n ( , ) p ( , )

Explanation:

Step1: Rotation rule for -270°

For a point \((x,y)\), rotation \(-270^\circ\) about origin: \((x,y) \to (y,-x)\)

Step2: Apply to M(7,-2)

\(M'(y,-x) = (-2, -7)\)

Step3: Apply to N(4,-3)

\(N'(y,-x) = (-3, -4)\)

Step4: Apply to P(2,-1)

\(P'(y,-x) = (-1, -2)\)

Answer:

M'(-2, -7), N'(-3, -4), P'(-1, -2)