# FIND MISSING VERTEX OF A PARALLELOGRAM WORKSHEET

Problem 1 :

Show that the points A(3, 1), B(0, -2), C(1, 1) and D(4, 4) are the vertices of a parallelogram ABCD.

Solution

Problem 2 :

If the points P(a, -11), Q(5, b), R(2, 15) and S(1, 1) are the vertices of a parallelogram PQRS, find the value of a and b.

Solution

Problem 3 :

If three consecutive vertices of a parallelogram ABCD are A(1, -2), B(3, 6) and C(5, 10). Find the fourth vertex D.

Solution

Problem 4 :

If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken in order, find the value of p.

Solution

Problem 5 :

If the points A(-2, -1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram, taken in order, find the value of a and b.

Solution

1) It is a parallelogram

2)  (4, 3)

3)  (3, 2)

4)  p = 7

5)  (1, 3)

## More Problems

Problem 1 :

Points P(4, 12), Q(9, 14), and R(13, 4) are three vertices of a rectangle. Find the coordinates of the fourth vertex S.

Solution

Problem 2 :

Find point D that makes ABCD a square where A(-1, 4), B(-2, -1), and C(3, -2).

Solution

Problem 3 :

Points A(-1, 2), B(-3, -3) and D(6, 3) form three corners of a parallelogram. Find the fourth vertex, C

Solution

Problem 4 :

Find point P that makes PQRS a rectangle where Q(-1, -5), R(2, -3) and S(-2, 3).

Solution

Problem 5 :

Find point S that makes PQRS a rectangle where P(6, 36), Q(-30, 9), and R(-12, -15).

Solution

1)  (8, 2)

2)  (4, 3)

3)  (4, -2)

4)  (-5, 1)

5)  (24, 12).

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