Question

question 6 points 4
the rectangle is rotated by 360° about the origin. find the coordinates of the vertices of the rotated figure.

Explanation:

Step1: Recall rotation property

A \( 360^\circ \) rotation about a point (here origin) maps a figure onto itself. So vertices remain same.

Step2: Find original coordinates

From graph: \( A(-4, 3) \), \( B(4, 3) \), \( C(4, -3) \), \( D(-4, -3) \).

Step3: Apply \( 360^\circ \) rotation

After \( 360^\circ \) rotation, each point \((x,y)\) stays \((x,y)\).

Answer:

Vertices of rotated figure: \( A(-4, 3) \), \( B(4, 3) \), \( C(4, -3) \), \( D(-4, -3) \)