1. GEOMETRY Section 1.3
Midpoint

2. The definition of Congruent
Congruent means having the same shape and size.
Two shapes are congruent if you can turn, flip and/or slide one so it fits exactly on the other.

3. The Definition of Midpoint
The midpoint of a segment is the point that divides the segment into two congruent segments.

4. Line Segment Bisector
A Segment Bisector is a point, ray, line, line segment or plane that intersects a line segment at its midpoint.

5. The Midpoint Formula

6.  The Midpoint Formula (2,4) (-1,7) (5,1) 4/2 , 8/2 2 , 4
(X1+X2)/2 , (Y1+Y2)/2
[5+(-1)]/2 , (1+7)/2
(-1,7)
4/2 , 8/2
2 , 4 
(2,4)
(5,1)

7. The Distance Formula
The distance formula is used to find the length of a line segment if you know the coordinates of the segment endpoints.
The distance equals:

8. Remember PEMDAS The Distance Formula = 5 In this case: X2 = 4 X1 = 1
Y2 = 6
Y1 = 2
(X2 – X1) = (4 – 1) = (3)
(Y2 – Y1) = (6 – 2) = (4)
√[(3)2 + (4)2] = √[9 + 16]
√[25]
= 5
Remember PEMDAS

9. Section 1.3 (page 19) #3, 7, 14, 17 and 21 Option: # 8, 16, 23
Homework:
Section 1.3 (page 19)
#3, 7, 14, 17 and 21
Option: # 8, 16, 23