Name ________________________________________ Date _______ Lesson 4.5 – Distance, Midpoint Formulas CC Geometry Do Now Find the slope between the following points in simplest form:

a) (-8, 3) and (6, 9) b) (0, -5) and (6, 5) 1. Graph the points (1, 5) and (4, 0) on the xy-axis. Find the distance between the two points in simplest

radical form. 2. Find the distance between the points (-3, 5) and (-2, 6). 3. Find the distance between the points (-8, 1) and (8, 7).

Distance Formula

Answer key

4. Graph the points (1, 5) and (7, 5) on the xy-axis. Find the midpoint between the two points. Midpoint – 5. Find the midpoint between the following points:

a) A(5, 10) and B(3, 2)

b) G(-3, -15) and H(5, -11) 6. B is the midpoint of AC . If the A is (-7, 4) and B is (-5, 1), find C.

7. B is the midpoint of AC . If the B is (10, 3) and A is (5, -2), find C.

Midpoint Formula

8. Find the slope of a line that is determined by the points (-2, 4) and (4, 2). 9. Find the slope of a line that is determined by the points (0, 0) and (4, 4). 10. Find the distance between points J (-8, 10) and point H( 6, -1). 11. Find the length of AB if the coordinates of A are (-3, 6) and the coordinates of B are (-9, 14). 12. The coordinates of A are (-9, 2) and the coordinates of G are (3, 14). What are the coordinates of the

midpoint of ?AG 13. The coordinates of J are (4, -6) and the coordinates of K are (-1, -10). What are the coordinates of the

midpoint?

14. Find the slope of a line that passes through the points (-1, -5) and (3, 7). 15. Find the length between the points (-5, 5) and (-1, -3).

16. If the midpoint of line segment AB is (-1, 6) and the coordinate of A is (-8, 4), find the coordinate of B. 17. If the midpoint of line segment CD is (1, -2) and the coordinate of C is (7, -3), find the coordinate of D. 18. Find the length between the points (6, 5) and (1, -3).