Polygon abcd is rotated 90 degrees counterclockwise about the orgin to create polygon a b c d , match each set of cordinates to the vertices of polygon a b c d

A'(-1, 1), B'(-2, 1), C'(-2, 2) and D'(-1, 3).

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, rotation, translation and dilation.

Rotation is the turning of an object about a point. If a point A(x, y) is rotated 90 degrees counterclockwise about the origin, the new point would be A'(-y, x)

From the image attached, the coordinates of polygon ABCD is A(1, 1), B(1, 2), C(2, 2), D(3, 1). If polygon ABCD is rotated 90 degrees counterclockwise about the origin, the new vertices would be at A'(-1, 1), B'(-2, 1), C'(-2, 2) and D'(-1, 3).

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

my guess would be b and d, but i didn’t actually get out the pen and paper. lol