1.3

1
1.3 Use Midpoint and Distance Formulas
Segment Constructions
2
Midpoint
Point in the middle of a segment
A
M
B
M is the midpoint of
3
Point, line, or segment that cuts a segment in
half
Segment bisector
C
A
B
M
A
B
M
pt. M bisects
D
bisects
4
Perpendicular
Line that intersects at a right angle
C
A
B
D
5
Perpendicular Line or segment that bisects a
segment
Perpendicular bisector
C
A
B
M
D
6
Length between two points
Distance
Measured in units
AB
7
1. Line bisects the segment. Find the
indicated length.
17cm
17cm
DF
34cm
8
1. Line bisects the segment. Find the
indicated length.
1 2
16
GJ
in
9
2. M is the midpoint of the segment. Find the
indicated length.
Find MF.
7x 6 5x
MF
5(3)
15u
6 -2x
3 x
10
2. M is the midpoint of the segment. Find the
indicated length.
Find LN.
11x 21 8x 15
LN
11(12)-21 8(12)15
3x 21 15
132 21 96 15
3x 36
222u
x 12
11
3. Find the midpoint and distance of AB, where
A(2, 5) and B(2, -3).
A
M(2, 1)
M
B
12
3. Find the midpoint and distance of AB, where
A(2, 5) and B(2, -3).
AB
8u
A
B
13
4. Find the midpoint and distance of AB, where
A(-3, 4) and B(7, 4).
M(2, 4)
A
M
B
14
4. Find the midpoint and distance of AB, where
A(-3, 4) and B(7, 4).
AB
10u
A
B
15
5. Find the midpoint and distance of AB, where
A(5, 8) and B(1, 2).
A
M
M(3, 5)
B
16
5. Find the midpoint and distance of AB, where
A(5, 8) and B(1, 2).
42 62 c2
A
16 36 c2
c
6
52 c2
4
c
B
AB
u
17
Midpoint Formula
Remember! Your answer should be an ordered pair!
18
Distance Formula
Dont forget your units!
19
6. Find the midpoint and distance of AB, where
A(-6, 2)and B(-2, -3).
Midpt Distance
(-2 (-6))2
(-3 2)2

(4)2

(-5)2
16

25
u
20
7. Find the midpoint and distance of AB, where
A(-1, 2)and B(3, 4).
Midpt Distance
(3 (-1))2
(4 2)2

(4)2

(2)2
16

4
u
21
The endpoints of two segments are given. Find
each segment length. Tell whether the segments
are congruent.
Q
P
S
R
22
The endpoints of two segments are given. Find
each segment length. Tell whether the segments
are congruent.
(-2 2)2
(0 (-3))2

(-1 4)2
(6 3)2

(-4)2

(3)2
(-5)2
(3)2

16

9

9
25
Not ?
23
HW Problem
Section Page Assignment Spiral ?s
1.3 19-20 2, 5, 13-19 odd, 24, 33, 43 6-8
15
SU 2(2015)
x 15 4x 45
15 3x 45
SU 2(35)
60 3x
SU 70u
20 x
What does the red circle mean around the problem
number?
Bring your protractor tomorrow!