Q:

Triangle A is rotated 180° counterclockwise about the origin. Which figure is the transformed figure?

Accepted Solution

A:
It is given that Triangle A is rotated 180° counterclockwise about the origin.As there are four Quadrants ,If Triangle is in odd Quadrant it goes into  Odd Quadrant after rotation of 180 degree, and if Triangle is in even Quadrant, then Triangle shifts in even Quadrant after rotation of 180 degree. When among the four transformation  Rotation takes place, The preimage and Image are Congruent.That is Neither Side Length , Nor Interior Angles of Two triangles Changes.So,The transformed Figure will also be a Triangle congruent to Original Triangle which was rotated by an Angle of 180°.