Triangles def and d'e'f' are shown on the coordinate plane below:

triangle def and triangle d prime e prime f prime with ordered pairs at d negative 1, 6, at e 1, 3, at f 6, 3, at d prime 6, 1, at e prime 3, negative 1, at f prime 3, negative 6.

what rotation was applied to triangle def to create triangle d'e'f'?

none of the above

90° counterclockwise

180°

90° clockwise

The correct answer is:

90° clockwise

Explanation:

Comparing the image points to the pre-image points, we can see that in every ordered pair, x and y have been switched and x has been negated.  Algebraically, this means (x, y)→(y, -x).

This is the same mapping that a 90° clockwise rotation performs, so that is our answer.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

care to share were the trapezoid shown is ?