1 Lesson 1-3 Use Midpoint and Distance Formula

Warm Up 2 1.Find a point between A(-3,5) and B(7,5). 2.Find the average of -11 and 5. 3.Solve 4.Find  30 to the nearest hundredth. 5.Find  5 +  20 to the nearest hundredth.

3 Midpoint A point that divides a segment into two congruent segments Definition:

-55 SRQPOLKJIHGN 4 Midpoint on Number Line - Example Find the coordinate of the midpoint of the segment PK. Now find the midpoint on the number line. 0 M

5 Segment Bisector Any segment, line or plane that divides a segment into two congruent parts is called segment bisector. Definition:

Practice 6 Identify the segment bisector of PQ. Then find PQ ANSWERMN;

Practice 7 Identify the segment bisector of PQ. Then find PQ. 2. line l ; ANSWER

Homework #3 8 p. 870: p. 19: 1-16, 48, 55, 56, 60-64

If A(x 1,y 1 ) and B(x 2,y 2 ) are points in a coordinate plane, then the midpoint M of AB has coordinates 9 Midpoint Formula The coordinates of the midpoint of a segment are the averages of the x-coordinates and of the y coordinates of the endpoints.

Practice 10 The endpoints of AB are A(1, 2) and B(7, 8). Find the coordinates of the midpoint M. ANSWER(4,5) ANSWER(– 6, – 8) The midpoint of VW is M(– 1, – 2). One endpoint is W(4, 4). Find the coordinates of endpoint V.

If A(x 1,y 1 ) and B(x 2,y 2 ) are points in a coordinate plane, then the distance between A and B is 11 Distance Formula

Lesson 1-2: Segments and Rays 12

Practice 13

Homework #4 14 P. 19: 17-27, , 41, 42, 49-52