Question

The points P(−3, 6) and Q(1, 4) are two vertices of right triangle PQR . The hypotenuse of the triangle is PQ⎯⎯⎯⎯⎯ .

Point R lies in quadrant 1.

What are the the coordinates of point R?

Enter your answers in the boxes.

Answer 1

The answer is R (1,6.)

Answer 2

Answer: Coordinates of point R is (1,6)

Explanation:

Since we have given that

The points P(-3,6) and Q(1,4) are two vertices of right triangle PQR.

The hypotenuse of the triangle is PQ.

Construct  a rectangle PQRR' with diagonal PQ ,

Now, we'll determine the points of R and R',

With the help of P(-3,6) and Q(1,4)

R will be (1,6) as x-coordinate of R and Q will be same and y-coordinate of R will be while determining the coordinates of R.

Similarly,

With the help of P(-3,6) and Q(1,4)

R' will be (-3,4) as x-coordinate of P and R' will be same and y-coordinate of Q and R' will be same while determining the coordinates of R'.

But as we given that point R lies in quadrant 1 so, we will take the value of R which (1,6).

Hence, coordinates of point R is (1,6)