Question

c here are some points. what are the coordinates of g, h, and i after a rotation about (0,0) by 90 degrees clockwise? plot these points on the grid, and label them g, h and i. 2. describe a sequence of transformations that takes trapezoid a to trapezoid b. (from unit 1, lesson 4) 3. reflect polygon p using line l. (from unit 1, lesson 3)

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin \((0,0)\) is \((x,y)\to(y, - x)\).

Step2: Find coordinates of \(G\)

The coordinates of \(G\) are \((0,3)\). Using the rotation rule \((x,y)\to(y, - x)\), we get \(G'(3,0)\).

Step3: Find coordinates of \(H\)

The coordinates of \(H\) are \((- 3,0)\). Using the rotation rule \((x,y)\to(y, - x)\), we get \(H'(0,3)\).

Step4: Find coordinates of \(I\)

The coordinates of \(I\) are \((2,-2)\). Using the rotation rule \((x,y)\to(y, - x)\), we get \(I'(-2,-2)\).

Answer:

The coordinates of \(G'\) are \((3,0)\), the coordinates of \(H'\) are \((0,3)\) and the coordinates of \(I'\) are \((-2,-2)\)