Question

△ear is rotated 180° about the origin. draw the image of this rotation.

Explanation:

Step1: Find the coordinates of points

Assume the coordinates of \(A\) is \((-6,4)\), \(R\) is \((-2,2)\), \(E\) is \((-5,-6)\).

Step2: Apply the rotation rule

The rule for a \(180^{\circ}\) rotation about the origin is \((x,y)\to(-x,-y)\).
For point \(A(-6,4)\), after rotation: \((-(-6),-4)=(6,-4)\).
For point \(R(-2,2)\), after rotation: \((-(-2),-2)=(2,-2)\).
For point \(E(-5,-6)\), after rotation: \((-(-5),-(-6))=(5,6)\).

Step3: Plot the new points

Plot the points \((6,-4)\), \((2,-2)\), \((5,6)\) on the coordinate plane and connect them to form the rotated triangle.

Answer:

Plot the points \((6,-4)\), \((2,-2)\), \((5,6)\) and connect them.