Question

△sea is rotated 270° about the origin. draw the image of this rotation.

Explanation:

Step1: Recall rotation rule

When a point \((x,y)\) is rotated \(270^{\circ}\) counter - clockwise about the origin, the transformation rule is \((x,y)\to(y, - x)\).

Step2: Find coordinates of \(S\), \(E\), \(A\)

Assume \(S(-7,-2)\), \(E(-7,2)\), \(A(-2,2)\).
For point \(S(-7,-2)\):
Using the rule \((x,y)\to(y, - x)\), we substitute \(x=-7\) and \(y = - 2\).
So the new coordinates are \((-2,7)\).
For point \(E(-7,2)\):
Substitute \(x=-7\) and \(y = 2\) into \((x,y)\to(y, - x)\).
The new coordinates are \((2,7)\).
For point \(A(-2,2)\):
Substitute \(x=-2\) and \(y = 2\) into \((x,y)\to(y, - x)\).
The new coordinates are \((2,2)\).

Step3: Plot the new points

Plot the points \((-2,7)\), \((2,7)\) and \((2,2)\) on the coordinate plane and connect them to form the rotated triangle.

Answer:

Plot the points obtained from the rotation rule \((x,y)\to(y, - x)\) for each vertex of \(\triangle SEA\) and connect them.