1. ©thevisualclassroom.com (2,4) (12, 8) 2.7 Determining the Midpoint of a Line Segment (7,6) Find the midpoint between the points (2, 4) and (12, 8) 2 12 4 8 7 6

2. ©thevisualclassroom.com (6, –9) (–2, 3) (2, –3) Find the midpoint between the points (–2, 3) and (6, –9) –2–2 6 2 –9 3 –3–3

3. ©thevisualclassroom.com (x 2, y 2 ) (x 1, y 1 ) Find the midpoint between the points (x 1, y 1 ) and (x 2, y 2 )

4. ©thevisualclassroom.com Determine the midpoint between the points (–9, 4) and (1, 14) (x 1, y 1 ) (x 2, y 2 ) M = (– 4, 9)

5. ©thevisualclassroom.com The coordinates of a rectangle are A(0, 8), B(9, 10), C(11, 2), D(2, 0). Determine if the midpoints of the diagonals are the same. A(0, 8) B(9, 10) C(11, 2) D(2, 0)  The midpoints of the diagonals are the same.

6. ©thevisualclassroom.com If one end of a line segment AB is A(–5, 1) and the midpoint of the line segment is M(–1, 6), determine the coordinates of point B. A(–5, 1) M(–1, 6) (3, 11) 4 4 5 5 B(3, 11)

7. ©thevisualclassroom.com Use midpoint to determine the fourth vertex of the rectangle.

8. ©thevisualclassroom.com The endpoints of the diagonal of a circle are (2, 8) and the center is (7, 6) Find the other endpoint. (2, 8) (7, 6) (12, 4) How would you determine the length of the radius? Ans: Use the distance formula Determine another point on the circle.