Question

triangle rst is rotated 180 degrees clockwise around the origin, resulting in triangle rst. which statement is true?the coordinates of r are (8, 1)the coordinates of s are (3, 0)the coordinates of t are (3, -6)the coordinates of t are (5, 3)

Explanation:

Step1: Identify original coordinates

Original points: $R(-1, 8)$, $S(0, -3)$, $T(-5, -3)$

Step2: Apply 180° rotation rule

A 180° rotation around the origin transforms a point $(x,y)$ to $( -x, -y )$.

• For $R(-1,8)$: $R'(1, -8)$
• For $S(0,-3)$: $S'(0, 3)$
• For $T(-5,-3)$: $T'(5, 3)$

Step3: Match with options

Compare transformed coordinates to given statements.

Answer:

The coordinates of T' are (5, 3)