Question

4 triangle nmp is graphed below. triangle nmp is rotated 180° counterclockwise about the origin to create triangle nmp. what are the coordinates of triangle nmp? n(-1,-5), m(-9,-4), p(-5,-1) n(-5,1), m(-4,9), p(-1,6) n(1,5), m(9,4), p(5,1) n(-1,5), m(-9,4), p(-5,1) clear all

Explanation:

Step1: Recall rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) counter - clockwise about the origin, the new coordinates are \((-x,-y)\).

Step2: Find coordinates of \(N\)

Assume \(N(1,5)\), after rotation \(N'(- 1,-5)\).

Step3: Find coordinates of \(M\)

Assume \(M(9,4)\), after rotation \(M'(-9,-4)\).

Step4: Find coordinates of \(P\)

Assume \(P(5,1)\), after rotation \(P'(-5,-1)\).

Answer:

\(N'(-1,-5),M'(-9,-4),P'(-5,-1)\)