Question

What are the missing coordinates of the vertices of this rectangle?

Answer 1

Answer:

A ( -d , e )

B ( - d , -e )

C ( d , - e )

Step-by-step explanation:

The centroid of the circle is on the origin.

This means that coordinates are an equal distance away from each other

Ex. Coordinate A and coordinate B are an equal distance away.

The only difference between the coordinates is the signs of the x and y values

This is determined by what quadrant the specific coordinate is in

Ex. Coordinate A is in Quadrant 2.

Coordinates in Quadrant 2 have a negative x value and a positive x value

Because Coordinate A and the given coordinates ( d , e )  have an equal distance between them all we have to do to find the missing coordinate is add a negative sign in front of the x value (d)

That being said, the coordinate of A is (-d,e).

This process is used to find the rest of the missing coordinates

for B

B lies in Quadrant 3

Quadrant 3 = ( -x , -y )

* add negative signs to the x and y value of the given coordinate *

B  = ( -d , - e)

For C

C lies in Quadrant 4

Quadrant 4 = ( x , - y )

* add a negative sign to the y value of the given coordinate *

C = ( d, -e)