1.2 What Is It Called? Pg. 7 Common Vocabulary Words for Geometry
1.2
What Is It Called?
Pg. 7Common Vocabulary Words for Geometry
Today you are going to build on your previous knowledge to answer new questions.
1.6 – SOLVING VARIABLESWhen 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
x = 8
+7 +7 4x = 32
4 4
x = 9
+6 +62x = 182 2
2x – 6 = 12
–3x –3x
–2 = 6x – 14 +14 +14
12 = 6x__ __ 6 6
2 = x
e. 7x + 7 – 3x – 9 = 50
4x +2 +2
4x = 52__ __ 4 4x = 13
– 2 = 50
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
a = 6
3 3
4x = 48
x = 12
4 4
4y = 3y + 30-3y -3y
y = 30
1.5 – QUADRATICSTo 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
x
+5
+1
(x + 5)(x + 1)
2x
x
+1
+3
(2x + 1)(x + 3)
2x
x
+1
–3
(2x + 1)(x – 3)
1.8 – SOLVING BY FACTORINGWhen 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
x
+7
–7
x + 7 = 0 x – 7 = 0
x = –7 x = 7
x
x
+3
–3
x + 3 = 0 x – 3 = 0
x = –3 x = 3
x + 1 = 0 x – 3 = 0
x = -1 x = 3
x
x
+6
+1
x + 6 = 0 x + 1 = 0
x = -6 x = -1
x
x
-3
-3
x – 3 = 0 x – 3 = 0
x = 3 x = 3
3x
x
-4
-1
3x – 4 = 0 x – 1 = 0
x = 4/3x = 13x = 4
Term Definition Picture Notation
Ray
____ capital letters
AB
C D
Initial point, then continues in one direction
2
AB
DC
Term Definition Picture Notation
Opposite Rays
AB
CRays that go in opposite directions
AB
AC
and
Term Definition Picture Notation
Segment AB
Has two endpoints, doesn’t go on forever
AB
BA
Term Definition Picture Notation
Congruent
AB
CD
Same shape and size
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
BA
PO
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
B
C
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