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.

Explanation:

Step1: Rotation rule for -270° about origin

For a point \((x,y)\), rotation gives \((-y, x)\)

Step2: Calculate M' coordinates

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

Step3: Calculate N' coordinates

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

Step4: Calculate P' coordinates

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

Answer:

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