Question

graph the image of kite tuvw after a rotation 180° clockwise around the origin.

Explanation:

Step1: Identify coordinates

Find coordinates of \( T, U, V, W \):
\( T(6, -9) \), \( U(9, -6) \), \( V(6, -2) \), \( W(2, -6) \).

Step2: Apply 180° rotation rule

For a point \( (x, y) \), rotation \( 180^\circ \) (clockwise/counterclockwise) around origin gives \( (-x, -y) \).

• \( T(6, -9) \to T'(-6, 9) \)
• \( U(9, -6) \to U'(-9, 6) \)
• \( V(6, -2) \to V'(-6, 2) \)
• \( W(2, -6) \to W'(-2, 6) \)

Step3: Plot new points

Plot \( T'(-6, 9) \), \( U'(-9, 6) \), \( V'(-6, 2) \), \( W'(-2, 6) \) and connect to form the rotated kite.

Answer:

The rotated kite has vertices at \( T'(-6, 9) \), \( U'(-9, 6) \), \( V'(-6, 2) \), \( W'(-2, 6) \) (graph by plotting these points and connecting them).