Worksheet Chapter 7: Coordinates

1. A straight line segment has an endpoint A(3, p) and midpoint M(q, 4). The other endpoint is B(-1, 10). (a) Find the values of p and q. (b) Calculate the length of line segment AB.

2. Which of the following is the midpoint of the line joining K(-6, 2) and L(4, -8)?

3. Given the points A(-3, 4), B(5, 4), C(5, -2), and D(-3, -2). (a) Name the geometric shape formed by ABCD. (b) Calculate the perimeter of ABCD. (c) Find the midpoint of the diagonal AC.

4. If M(2, 5) is the midpoint of line segment AB and A is (-2, 1), calculate the coordinates of B.

5. The distance between point P(k, 2) and point Q(3, 8) is 10 units. Find the two possible values of k.

6. Fill in the blank: The point where the x-axis and y-axis intersect is called the ________.

7. Find the distance between point A(-1, 3) and point B(5, 11).

8. True or False: The distance between point P(-3, 4) and point Q(-3, -2) is 6 units.

9. Points P(1, 2), Q(7, 2), and R(7, 10) form a right-angled triangle. (a) Find the lengths of PQ and QR. (b) Calculate the distance PR.

10. True or False: The distance between any point (x, y) and the origin (0, 0) is given by √(x² + y²).