Question

Point Q is plotted on the coordinate grid. Point P is at (50, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?

A) R(50,30), 0 units.
B) R(50,0), 30 units.
C) R(0,30), 50 units.
D) R(0,-30), 50 units.

Answer 1

Answer A is correct because point R has the same x-coordinate as point P (50) and is 30 units vertically above point Q, hence the coordinates of R are (50, 30) and its distance from Q is 30 units.

Step-by-step explanation:

The question involves finding the coordinates of point R and its distance from point Q. Point P is at (50, −30). Point R is vertically above Q and at the same distance from Q as P is from Q. Since R is vertically above Q and P is 30 units below it (indicated by the −30 y-coordinate), R must be 30 units above Q. To find the x-coordinate of R, we look at the x-coordinate of P, which remains unchanged if R is vertically above or below Q. Consequently, R must have the same x-coordinate as P, which is 50. Thus, R is at (50, 30), and since the vertical distance from Q to P is 30 units (the absolute value of the y-coordinate of P), the distance from Q to R is also 30 units. The correct answer is A) R(50,30), 30 units.