Question

The triangle is rotated 180° about the origin. Give the coordinates of the points in the image:B-5-4-3-210N45-2-3-4-5ACBCC'(Blank 1:Blank 2:Blank 3:Blank 4:Blank 5:Blank 6:

Answer 1

Generally when a coordinate (x , y) is rotated 180 degrees about the origin, it becomes (-x , -y).

Now, the coordinates of the vertices of the triangle will follow a similar transformation when the triangle is rotated 180 degrees about the origin, as follows:

$A(0,4)\text{ will become : A1 (0, -4)}$$B(2,3)\text{ will become : B1(-2, -3)}$$C(-1,-1)\text{ will become : C1(1, 1)}$

See the figure below which shows the transformation