Question

Triangle ABC woth A(-4,-1)B(-2,-1)C(-4,4) is rotated 180* about the orgin. what are the coordinates of the vertices of the figure after the triangle is rotated?

Answer 1

A' (4, 1 ) , B' (2, 1 ) , C' (4, - 4 )

Explanation:

under a rotation of 180° about the origin

a point (x, y ) → (- x, - y ) , then

A (- 4, - 1 ) → (- (- 4), -(- 1) ) → A' (4, 1 )

B (- 2, - 1 ) → (- (- 2), - (- 1) ) → B' (2, 1 )

C (- 4, 4 ) → (- (- 4), - 4 ) → C' (4, - 4 )