Question

Polygon ABCD is rotated 90º counterclockwise about the origin to create polygon A′B′C′D′. Match each set of coordinates to the vertices of polygon A′B′C′D′. Tiles A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)
<---->
<---->
<---->
<---->

Answer 1

Answer:

A' = (-1,3)   -  A = (3,11)

B' = (-2,2)  -  B = (2,2)

C' = (-2,1)  -  C = (1,2)

D' = (-1,1)  -   D = (1,1,)

Step-by-step explanation:

We have the polygon ABCD transformed to the polygon A'B'C'D' with the co-ordinates,

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

Since, the polygon is rotated 90 counterclockwise about the origin.

The co-ordinates (x,y) of ABCD will change to (-y,x) for A'B'C'D'.

So, we will change the co-ordinates (-y,x) of A'B'C'D' to (x,y) which gives the co-ordinates of ABCD.

That is,

Take the y-value to the 1st position and x-value to the second multiplied by negative sign.

Thus, we have,

A' = (-1,3)   ------------------  A = (3,1)

B' = (-2,2)   ------------------ B = (2,2)

C' = (-2,1)   ------------------ C = (1,2)

D' = (-1,1)   ------------------- D = (1,1,)

Answer 2

Look at the picture.

Answer:

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