Question

Find the coordinates of the vertices of quadrilateral ZKCN after it has been rotated 90° clockwise about the origin.

The vertices are: Z(-1,-5), K(-1,0), C(1,1). N(3,-2)

Answer 1

To rotate a point 90° clockwise about the origin, use transformations x' = y and y' = -x. Applying these transformations to ZKCN, the new coordinates are Z'(-5, -1), K'(0, -1), C'(1, 1), N'(-2, 3).

Step-by-step explanation:

To rotate a point 90° clockwise about the origin, we can use the following transformations:

x' = y

y' = -x

By applying these transformations to each of the vertices of quadrilateral ZKCN, we get:

• Z'(-5, -1)
• K'(0, -1)
• C'(1, 1)
• N'(-2, 3)

So, the coordinates of the vertices of quadrilateral ZKCN after it has been rotated 90° clockwise about the origin are:

Z'(-5, -1), K'(0, -1), C'(1, 1), N'(-2, 3).