Question

A triangle's vertices have the following coodinates; (20,10), (60,10), (40,50). It is rotated 180 degrees. What are the image's vertices coordinates? A. (-10, -20), (-10, -60), (-50, -40) B. (-20, -10), (-60, -10), (-40, -50) C. Not listed D. (20,10), (60,10), (40,50)

Answer 1

The image's vertices coordinates is: B. (-20, -10), (-60, -10), (-40, -50)

The rotation of a point (x, y) by 180 degrees about the origin can be achieved by changing the sign of both x and y coordinates.

Let us apply this rotation to each vertex of the original triangle:

Original vertices: (20, 10), (60, 10), (40, 50)

Rotated vertices (by 180 degrees): (-20, -10), (-60, -10), (-40, -50)

So, the image's vertices coordinates is: B. (-20, -10), (-60, -10), (-40, -50)