Question

Point Q is plotted on the coordinate grid. Point P is at (10, −20). 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?
On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 20, negative 20.

Point R is at (−20, −30), a distance of 10 units from point Q
Point R is at (−20, 10), a distance of 30 units from point Q
Point R is at (−20, −10), a distance of 30 units from point Q
Point R is at (−20, 30), a distance of 10 units from point Q

Answer 1

Answer:

Point R is at (−20, 10), a distance of 30 units from point Q                

Step-by-step explanation:

Answer 2

Answer:

Point R is at (−20, 10), a distance of 30 units from point Q

Step-by-step explanation:

Q has coordinates (-20,-20).

P has coordinates (10,-20)

Since point R is vertically above point Q, it will have the same x-coordinate as Q.

Let R have coordinates (-20,y).

It was given that;

$|RQ|=|PQ|$

$\Rightarrow |y--20|=|10--20|$

$\Rightarrow y+20=10+20$

$\Rightarrow y=10+20-20$

$\Rightarrow y=10$.

The coordinates of R are (-20,10).

The dstance from Q is 30 units.