Question

Rotate the triangle R(3,1), S(1,3), 7(4,5) 180° about the origin

Answer 1

R'(-3,-1), S'(-1,-3), T'(-4,'5).

Explanation:

Rotations

Rotating a point of coordinates M(h,k) through 180° about the origin maps it to coordinates to M'(-h, -k).

The triangle has the vertices at R(3,1), S(1,3), T(4,5). After a rotation of 180° about the origin it maps to a new triangle with coordinates:

R'(-3,-1), S'(-1,-3), T'(-4,'5).

An image of both triangles is shown below.