Question

Triangle ABC has coordinates A(2, 4), B(5, 6), and C(1, 4). If the triangle is rotated 180° clockwise about the origin, what are the coordinates of B'?

Answer 1

B'(-5,-6)

Explanation:

The mapping for 180° clockwise rotation about the origin is:

`(x,y)\to (-x,-y)`

The find the image of B(5,6), we plug in x=5 and y=6 into the rule.

`(5,6)\to (-5,-6)`

Therefore the coordinates of B' are (-5,-6).