Which transformation was performed on the following two dimensional figure? help please.

C. Rotation of 180° about the origin

Step-by-step explanation:

A(-2,4) B(-4,2) C(-7,2) D(-4,7)

A'(2,-4) B(4,-2) C(7,-2) D(4,-7)

(x , y) ---> (-x , -y)

1 inch

Step-by-step explanation:

If we call the thickness of the frame x, then the dimensions of the glass are:

w = 8 − 2x

h = 10 − 2x

The area of the glass is width times height:

48 = (8 − 2x) (10 − 2x)

Distribute and simplify:

48 = 80 − 16x − 20x + 4x²

0 = 4x² − 36x + 32

0 = x² − 9x + 8

Factor and solve:

0 = (x − 1) (x − 8)

x = 1 or x = 8

x can't be more than 4 (half the width of the frame), so x = 1 inch.