Question

Please help me with this question

Answer 1

The points are

• T=(6,0)
• P=(-2,5)
• O=(-2,-5)

Rotate 180° about origin (x,y)—»(-x,y)

So

• T'(-6,0)
• P'(2,5)
• O'(2,-5)

Graph attached

Answer 2

Step-by-step explanation:

Given ΔTOP is rotated -180° about the origin.

Identify the coordinates of the original triangle:

• T = (6, 0)

• O = (-2, -5)

• P = (-2, 5)

Rule for -180° rotation: (x, y) → (-x, -y)

So after rotation coordinates:

• T' = (-6, 0)

• O' = (2, 5)

• P' = (2, -5)