Distance and Midpoint Formulas Activity

Distance and Midpoint Formulas Activity Name________________________

Distance Formula: The distance between two points is:

Midpoint Formula: The midpoint (middle) of the line between two points is:

2 Point Problems:

1.) Find the distance between the two points. 2.) Find the midpoint of

P(-3, -2) and Q(5, -2).

3.) Find the distance between the two points. 4.) Find the midpoint of the two P(7, 0) and Q(8 , 0) points. P(-3, -4) and Q(5, -5)

3 Point Problems:

5.) For the coordinates of P and M (the midpoint) are given. Find the coordinates for Q.

P(-2, 3) and M (5, 1)

6.) For the coordinates of P and M (the midpoint) are given. Find the coordinates for Q.

P(3, 11) and M (0, 0)

7.) Find the distance and midpoint for the following coordinates.

P(7.6 , 10.1) and Q(4.6 , 3.1)

8.) Find the distance and midpoint for the following coordinates.

P(10, 2) and Q(8, 0)

4 Point Problems:

9.) Explain why the distance formula works.

10.) Explain why the midpoint formula works.

11.) Find the center, circumference, and area of the circle described.

Diameter with endpoints P(2 , 4) and Q(-3 , 16)

12.) Find the center, circumference, and area of the circle described.

Diameter with endpoints P(-12 , -8) and Q(0 , 0)

13.) Three points are collinear if they lie on the same line. If A, B, and C are collinear and B is between A and C, then AB + BC = AC (lengths). Decide if the points are collinear.

A (0, 0) B(2, 4) C(3, 6)