Question

Look at the four triangles graphed below.

Triangle A is on the second quadrant with a hypotenuse from the top left vertex to the base, triangle B is on the first quadrant with a hypotenuse from the top right vertex to the base, triangle C is on the third quadrant with a hypotenuse from the top left vertex to the base, tringle D is on the fourth quadrant with the base on the top parallel to the positive x axis.

What is the name of the single transformation that takes triangle A to triangle D?

A.
rotation

B.
reflection across the y-axis

C.
reflection across the x-axis

D.
translation

Answer 1

A. rotation

A 180° rotation about the origin carries a point (x,y) in quadrant II to (-x,-y) in quadrant IV, so triangle A maps to triangle D.