in an image the slanted rectangle starts at 0 over right 2 spaces. Then 2 more over to 4 up to 3 then left 2 and back to 0.what would it look after a rotation of 90 degrees about 0.

a)rectangle goes to the left in quadrant 2.
b)rectangle goes down in the 4 quadrant.
c)rectangle goes in 3 quadrant.
d)rectangle goes in 2 quadrant but faces a diffrent way.
I think it is B

2 answers

(0,0) (2,0) (4,3) (2,3)
well, you could cut it out of cardboard :)

It goes to quadrant 2
The top face becomes the left face, so it faces a different way
so d

If you spin 90 deg left from quadrant 1, how could you be in quadrant 4 ?
The best way to solve these problems is to follow the instructions, draw the figure with the coordinates of each point, and then apply the transformation (rotation).

I will give you a kickstart by giving the coordinates of the figure (not a rectangle).
A(0,0)
B(2,0)
C(4,0)
D(4,3)
E(2,3)
A(0,0)

A 90° rotation has the transformation
R(O,90°)=(x,y)->(-y,x)
which means that a point such as D(4,3) will be transformed to D'(-3,4), meaning the negative y-coordinate (3) of D' become the x-coordinate of D', and the x-coordinate of D (4) becomes the y-coordinate of D', resulting in D'(-3,4).

Work on all the points to find the coordinates of the image, A'B'C'D'E'A'.
The appropriate answer will be shown on a graph on paper.
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