The document discusses the midpoint and distance formulas. It defines the midpoint as the point that divides a segment into two congruent segments. The midpoint formula is given as (x1 + x2)/2, (y1 + y2)/2. The distance formula is given as the square root of (x2 - x1)2 + (y2 - y1)2, which is the length of the hypotenuse of a right triangle formed by the differences in the x- and y-coordinates. Homework problems from page 19 numbers 4 through 36 are assigned, excluding number 24.

1. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014
Bellwork
1. Find the missing length
2. Are DE & GH congruent,
if D(-4,11), E(-4,-13), G(-14,5), H(-9,5)?
3. How do you name a plane?
4. What is a postulate?
5. 2 + 3
NO, DE = 24 & GH = 5
Must be 3 non-collinear points in
that plane
3.2
A B C2
3.2 - 2 = 1.2
a rule that is accepted without proof
2
1 3
4
2
+ 3
2
4
3
4
5 5 = 6 1
4 4
=

2. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014
1.3 Midpoint and Distance
Midpoint (M): point that divides the
segment into 2 congruent ( ≅) segments
A BM
Segment Bisector (CD):a point, ray, line, line
segment, or plane that intersects the segment
at its midpoint.
C
D

3. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014

4. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014

5. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014

6. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014

7. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014
Midpoint Formula
x1 + x2 y1 + y2
2 2( ),

8. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014

9. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014

10. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014

11. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014
Distance Formula
AB = √(x2 - x1)2
+ (y2 - y1)2
(AB)2
= (x2 - x1)2
+ (y2 - y1)2
or

12. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014

13. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014

14. 1.3 Midpoint & Distance Formulas
HW pg. 19 #4­36 evens ­24
August 19, 2014
HW:
pg 19
#4-36 evens
except 24. yippee!!