Question

quilting a quilter is planning out a quilt using the coordinate plane below. the block is rotated counterclockwise 90° about the origin and drawn again. what are the coordinates of c after the rotation on the coordinate plane

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ counter - clockwise $90^{\circ}$ about the origin is $(x,y)\to(-y,x)$.

Step2: Identify coordinates of point C

The coordinates of point $C$ are $(7, - 3)$.

Step3: Apply rotation rule

For point $C(7,-3)$, using the rule $(x,y)\to(-y,x)$, we substitute $x = 7$ and $y=-3$. Then $-y=-(-3) = 3$ and $x = 7$ becomes the new $y$-coordinate. So the new coordinates of $C'$ are $(3,7)$.

Answer:

$(3,7)$