Will give brainliest which statement is true about figures abcd and a'b'c'd'? a. a'b'c'd' is obtained by translating abcd 4 units up and then reflecting it about the y-axis. b. a'b'c'd' is obtained by translating abcd 4 units right and then reflecting it about the x-axis. c. a'b'c'd' is obtained by rotating abcd counterclockwise by 180 degrees about the origin and then reflecting it about the y-axis. d. a'b'c'd' is obtained by rotating abcd counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis.

The correct option is d.

Step-by-step explanation:

From the given figure it is clear that the vertices of ABCD are A(-4,-3), B(-3,-1), C(-2,-3) and D(-3,-4). The vertices of A'B'C'D' are A'(3,4), B'(1,3), C'(3,2) and D'(4,3).

ABCD counterclockwise by 90 degrees about the origin, then

Similarly, B₁(1,-3), C₁(3,-2), and D₁(4,-3).

Then reflecting it about the x-axis.

A'B'C'D' is obtained by rotating ABCD counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis.

Therefore the correct option is d.

x/3-10=8

x/3=18

x=48