To find the coordinates of vertices P and R, we can use the fact that opposite sides of a rectangle are parallel and equal in length.
Given that Q is located at (4, -2) and S is located at (-1, 3), we can determine the length and direction of the sides.
The horizontal side of the rectangle must be parallel to the x-axis and have the same length as the side containing points Q and S. Therefore, the horizontal side must have a length of 5 units.
The vertical side of the rectangle must be parallel to the y-axis and have a length of 5 units as well. The direction from point Q to R and S to P must be vertical.
Using this information, we can determine that the coordinates of vertices P and R are as follows:
- P: (-1, -2)
- R: (4, 3)
Therefore, the complete coordinates of the rectangle PQRS are:
P (-1, -2)
Q (4, -2)
R (4, 3)
S (-1, 3)
rectangle PQRS has verticals Q (4, -2) and s ( -1,3) what are the coordinates of verticals P and R note, the vertex labels are located counterclockwise on the graph
1 answer