Q:

What is true about the rotation of the shaded triangle to the position of the unshaded triangle? Check all that apply.1.The rotation uses the rule (x, y)g(–x, –y).2.The rotation uses the rule (x, y)g(y, –x).3.The rotation is 90° clockwise about the origin.4.The rotation is 180° about the origin.5.The rotation uses the rule (x, y)g(–y, x).6.The rotation is 90° counterclockwise about the origin.

Accepted Solution

A:
  the answers are the options
 1.The rotation uses the rule (x, y)g(–x, –y).
 4.The rotation is 180° about the origin.

ooordinates blue triangle
A(1,1) B(1,3) and C(-5,3)
ooordinates red triangle
X(-1,-1) Y(-1,-3) and Z(5,-3)

let's check

coordinates blue triangle
A(1,1) B(1,3) and C(-5,3)
using the the rule ---- > (x, y)----------------- >g(–x, –y).
A(1,1)------------------ > A1(-1,-1)
B(1,3)------------------ > B1(-1,-3)
C(-5,3)------------------ >C1(5,-3)

therefore 

∆A1B1C1=∆XYZ  ------------------- > is ok