rectangle PQRS has vertices q (4, -2) and S (-1, 3). WHAT ARE THE COORDINATES OF VERTICES P AND R? NOTE, THE VERTEX LABELS ARE LOCATED COUNTERCLOCKWISE ON THE GRAPH
I apologize for the incorrect information in my previous response. Let's correct the calculations for finding the coordinates of vertices P and R:
Given that vertex Q is at (4, -2) and vertex S is at (-1, 3), we can determine the coordinates of P and R by following the counterclockwise order of the vertices.
To find the coordinates of P:
- The x-coordinate of P will be the same as the x-coordinate of Q (4).
- The y-coordinate of P will be the same as the y-coordinate of S (3).
Therefore, the coordinates of vertex P are P(4, 3).
To find the coordinates of R:
- The x-coordinate of R will be the same as the x-coordinate of S (-1).
- The y-coordinate of R will be the same as the y-coordinate of Q (-2).
Therefore, the coordinates of vertex R are R(-1, -2).
So, the corrected coordinates of vertices P and R are:
- P(4, 3)
- R(-1, -2)
The coordinates of vertex P and R can be found by following the counterclockwise order of the vertices.
Given that vertex Q is at (4, -2) and vertex S is at (-1, 3), we can determine the coordinates of P and R.
Vertex P will be located after vertex Q in a counterclockwise direction, so it will be located before vertex S. Therefore, the coordinates of vertex P will be between (4, -2) and (-1, 3).
Taking into account both the x and y coordinates, we can see that the x-coordinate of P must be less than 4 and greater than -1, while the y-coordinate of P must be less than 3 and greater than -2.
Let's choose a midpoint between the x and y coordinates of Q and S. This midpoint will give us the coordinates of P.
Midpoint x-coordinate: (4 + (-1)) / 2 = 3/2 = 1.5
Midpoint y-coordinate: (-2 + 3) / 2 = 1 / 2 = 0.5
Therefore, the coordinates of vertex P are P(1.5, 0.5).
Vertex R will be located after vertex S in a counterclockwise direction, so it will be located before vertex Q. Therefore, the coordinates of vertex R will be between (-1, 3) and (4, -2).
Using the same process as above, we find the coordinates of R by calculating the midpoint between the x and y coordinates of S and Q.
Midpoint x-coordinate: (-1 + 4) / 2 = 3/2 = 1.5
Midpoint y-coordinate: (3 + (-2)) / 2 = 1/2 = 0.5
Therefore, the coordinates of vertex R are R(1.5, 0.5).