Question

Quadrilateral vwxy with vertices v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6): 18o from the origin

Answer 1

Given:

The vertices of a quadrilateral are v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6).

To find:

The vertices of the image of quadrilateral vwxy after 180° about the origin.

Solution:

If a figure rotated 180° about the origin, then the rule of rotation is

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

Using this rule, we get

`v(-2,-1)\to v'(2,1)`

`w(-5,-2)\to w'(5,2)`

`x(-8,-7)\to x'(8,7)`

`y(1,-6)\to y'(-1,6)`

Therefore, the vertices of image of quadrilateral vwxy after 180° about the origin are v'(2,1), w'(5,2), x'(8,7), y'(-1,6).