Download 1.2 - Rays and Segments

1.2
What Is It Called?
Pg. 7
Common Vocabulary Words for Geometry
Today you are going to build on your previous knowledge
to answer new questions.
1.6 – SOLVING VARIABLES
When solving an equation, start with distribution.
Then combine like terms on each side of the
equal sign. Afterwards, get the variable on one
side of the equal sign, undo any addition,
subtraction. Then undo any multiplication or
division.
5
5
x=3
+7
+7
4x = 32
4
4
x=8
2x – 6 = 12
+6
+6
2x = 18
2
2
x=9
–3x
–3x
–2 = 6x – 14
+14
+14
12
6x
__ = __
6 6
2=x
e. 7x + 7 – 3x – 9 = 50
4x – 2 = 50
+2 +2
4x = __
52
__
4
4
x = 13
f. 5(x – 3) + 9x = 3x + 29
5x – 15 + 9x = 3x + 29
14x – 15 = 3x + 29
–3x
–3x
11x – 15 = 29
+15 +15
11x
__ = 44
__
11 11
x=4
3a = 18
3
3
a=6
4x = 48
4
4
x = 12
4y = 3y + 30
-3y -3y
y = 30
1.5 – QUADRATICS
To factor, look for the greatest common factor
that divides into each term with a “hockey
stick.” Then, if possible, use a t-chart to
complete.
5
3x – 1
5(3x – 1)
4x
x
–6
4x (x – 6)
2x2
3x + 2
2x2 (3x + 2)
x
+5
x +1
(x + 5)(x + 1)
2x +1
x +3
(2x + 1)(x + 3)
2x +1
x –3
(2x + 1)(x – 3)
1.8 – SOLVING BY FACTORING
When a quadratic equation has an equal sign,
then you can solve for the variable. You can
either take the square root of both sides or by
using split, set, see what you get.
x
+7
x –7
x+7=0
x–7=0
x = –7
x=7
x
+3
x –3
x+3=0
x–3=0
x = –3
x=3
x+1=0
x–3=0
x = -1
x=3
x
+6
x +1
x+6=0
x+1=0
x = -6
x = -1
x
-3
x -3
x–3=0
x=3
x–3=0
x=3
3x -4
x -1
3x – 4 = 0
3x = 4
x = 4/3
x–1=0
x=1
Term
Ray
Definition
Initial
point,
then
continues
in one
direction
Picture
Notation
2 capital
____
letters
B
A
AB
C
D
DC
Term
Definition
Opposite
Rays
Rays that
go in
opposite
directions
Picture
C A
Notation
B
AB
and
AC
Term
Segment
Definition
Has two
endpoints,
doesn’t go
on forever
Picture
A
B
Notation
AB
BA
Term
Congruent
Definition
Same
shape and
size
Picture
A
C
Notation
B
D
AB  CD
1.9 – RAYS
1. Name the rays.
AB
BA
ST
2. Name a pair of opposite rays.
YX
and YZ
1.10 – SEGMENTS
1. Name the segments two different ways.
AB
PO
BA
OP
2. Draw at least two of your own examples of
what segments look. Make sure you draw two
points on the segment, both on the two
endpoints.
A
C
B
D
1.11 – REVIEW
1. Name two rays shown in the figure.
NX
NR
2. Name the opposite ray for NM.
NC
3. Name a segment.
AN
1.12 – REVIEW
Determine whether each statement is always,
sometimes, or never true.
Never
Sometimes
Never
Always
never
Sometimes
1.13 – USING RULERS
1. Make sure each person gets a ruler.
2. Examine the ruler. Notice one side is
measured in inches and one is measured in
centimeters.
3. Find the location of centimeters. Then notice
where the 0 is.
4. Line up the ruler to one end of the segment
and measure how long the segment is. Each
mark represents 0.1 cm. The segment below is
5.2 cm.
5. Measure the segments below in centimeters
using your ruler.
5.4cm
3.3cm
1.2cm
5.7cm
4.4cm
1.7cm
2cm
2.5cm