Question

Point q is plotted on the coordinate grid point poi’s a (30, -30 point r is vertically above point q it is at the Same distance from point q as point p from q which of these shows the coordinates of point r and it’s distance from point q

a) (30,30) 60 units
b) (30,0) 30 units
c) (0,30) 30 units
d) (0,60) 60 units

Answer 1

The coordinates of point R are (30, 30), located directly above point Q, which is also on the same x-coordinate as point P, with a distance of 60 units from Q, equivalent to the distance between Q and P.

Step-by-step explanation:

The student is asking about the coordinates of point R on a coordinate grid after a transformation. Given that point P is at (30, -30) and point R is vertically above point Q and at the same distance from Q as P is from Q, we can determine the coordinates and distance without using polar coordinates.

Since P is at (30, -30) and R is the same distance from Q as P is, but vertically above it, the y-coordinate of R will be the negative of P’s y-coordinate but with the same x-coordinate. Thus, the y-coordinate should be 30 (negating the -30), and the x-coordinate should remain 30. Thus, point R would be at (30, 30). The distance between Q and R, being the same as the distance between Q and P, which is on directly opposite sides of the x-axis, will be twice the absolute value of the y-coordinate of P, so 60 units.

Therefore the correct answer is a) (30,30) 60 units.