Essentials of Geometry
Day 1 Vocabulary and Segment Addition
Name_________________________
Day 1 Warm Up
1. X + 13 = 22
4.
-14 = - ( -2x + 2 )
2. -6x -6x = 12
5.
6x – 2x + 8 = x + 5
3. -36 = 6 ( 2 – 8x )
6.
3 ( 7x – 7 ) = -6 + 6x
Points, Lines, and Planes
Definition
point – represented by a dot
line – represented by a line with two arrowheads – written
as AB
plane – represented by a shape that looks like a floor
or wall (need at least 3 points to name a plane)
Sketch
collinear points – points that lie on the same line
coplanar points – points that lie in the same plane
segment – written as AB
ray – written as AB
opposite rays – two rays that share an endpoint but go
in opposite directions
Example 1
Use the diagram to the right.
H
a. Name four points that are coplanar.
J
p
L
b. Name three points that are collinear.
G
K
M
Segments and Congruence
The ______________________ between points A and B is the absolute value of the difference
of the coordinates.
Example 2
The distance from Ashville to Berkley is 3 miles. If John walks from Ashville to Berkley and
Sarah walks from Berkley to Ashville, how far did each of them walk?
Example 3
Find the distance between the two points given.
a.
b.
1
2
3
3
7
11
4
5
6
7
c.
15 19 23
27
5
10 15 20 25
30 35
AC
Segment Addition
A
B
C
AB
BC
Example 4
Hilary drives from Charlotte to Duxbury which is 25 miles. Then she drives from Duxbury to
Edmonton which is 17 miles. How far did she drive altogether?
Example 5
Sam is going from Washington DC to Chicago. The two cities are 701 miles apart. If Sam has
already driven 463 miles, how much farther does he have to go?
Example 6
Find PQ.
Example 7
Find GH.
36
29
O
P
8
Find the indicated length.
Example 8
Find VW.
T
F
Q
3x
21
Example 9
Find YZ.
32
V
x+8
W
X
G
H
27
2x + 3
Y
3x - 1
Z