Question

rotations
given the coordinates of the pre - image, drag the points to graph the image.
rotate 270° cc about origin
m(-3,4) n(-5,-1) o(6,-2)
m n o

Explanation:

Step1: Recall rotation rule

For a \(270^\circ\) counterclockwise (CC) rotation about the origin, the rule is \((x,y)\to(y,-x)\).

Step2: Rotate point M(-3,4)

Apply the rule: \(x = -3\), \(y = 4\). New coordinates: \((4, -(-3))=(4,3)\). So \(M'=(4,3)\).

Step3: Rotate point N(-5,-1)

Apply the rule: \(x = -5\), \(y = -1\). New coordinates: \((-1, -(-5))=(-1,5)\). So \(N'=(-1,5)\).

Step4: Rotate point O(6,-2)

Apply the rule: \(x = 6\), \(y = -2\). New coordinates: \((-2, -6)\). So \(O'=(-2,-6)\).

Answer:

To graph the image after \(270^\circ\) CC rotation about the origin:

• \(M'\) has coordinates \((4, 3)\)
• \(N'\) has coordinates \((-1, 5)\)
• \(O'\) has coordinates \((-2, -6)\)

Drag \(M'\) to \((4,3)\), \(N'\) to \((-1,5)\), and \(O'\) to \((-2,-6)\) on the coordinate grid.