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).