Post on 30-Dec-2015
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If you divide the right angle into 2 equal angles, how wide is per angle?
a
b
SquareA B
C D
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450
900
divided by 2.
450
450
If you divide the right angle into 2 equal angles, how wide is per angle?
a
b
Rectangle
A E
C D
B
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450
900
divided by 2.
450
450
If you divide the right angle into 3 equal angles, how wide is per angle?
Square
r
st
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300
900
divided by 3.
300
300300
b
Rectangle
If you divide the right angle into 3 equal angles, how wide is per angle?
r
s
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300
900
divided by 3.
300
300
300
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30o
?60o
This is a 900 angle.
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40o
30o ?20o This is a 900
angle.
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45o
25o ?20o
A
BD
C
ABCD is a square.
a. Find ADC
45o
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900
A
BD
C
ABCD is a square.
b. Find BDC
45o
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= 450?BDC= 900 - 450 = 450
We subtract
angle ADB from
angle ADC.
ADC = 900
ADB
This is like having a
money of P90. After spending
P45, how much is left to
you?450
55o
b
a. Find b
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900
550?b= 900 - 550
= 350
We subtract 550 from 900.
This is like having a
money of P90. After spending
P55, how much is left to
you? 350
27o
c
a. Find c
13o
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900
270? 130C= 900 – 270 – 130
= 500
We subtract 270 and 130 from
900.
This is like having a
money of P90. After spending P27 and P13, how much is left to you? 500
3 cm
3 cm
3 cm
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Measurements
Measurements
3 cm 3 cm3 cm
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10 cm
? cm 6 cm
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Measurements
4 cm
Example 1
10 - 6
Total Length
Unknown
Given Part
10 cm
6 cm? cm
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MeasurementsExample 2
10 - 64 cm
Total Length
Unknown
Given Part
15 cm
8 cm
? cm
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MeasurementsExample 3
15 - 87 cm
If you are looking for a
horizontal line, consider only
the given horizontal lines.
Total Length
Unknown
Given Part
L K
G
JI
F
?
46 cm
30 cm
20 cm
15 cm
Find the length of IJ.
More On Squares and RectanglesMeasurements
Example 4
46 - 2026 cm
20 cm
20 cm
20 cm
Total Length
Unknown
Given Part
If you are looking for a
horizontal line, consider only
the given horizontal lines.
2 cm3 cm
3 cm 1 cm
? cm
F
A B
C
E
D
Find the length of AB
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MeasurementsExample 5
3 + 14 cm
3 cm 1 cm
3 cm
3 cm 1 cm
Total Length
Unknown
Given Part
Find the length of PQ.
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MeasurementsExample 6
4 + 7 + 415 cm
4 cm 7 cm 4 cm
4 cm 7 cm 4 cm
Total Length
Unknown
Given Part
Find the length of MT
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MeasurementsExample 7
2 + 2 + 15 cm
2 cm 2 cm 1 cm
2 cm
2 cm
2 cm 1 cm
2 cm 1 cm
Total Length
Unknown
Given Part
8 cm
3 cm
? cm
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MeasurementsExample 8
8 - 35 cm
If you are looking for a vertical line,
consider only the given
vertical lines.
Total Length
Unknown
Given Part
2 cm3 cm
3 cm 1 cm
? cm
F
AB
C
E
D
Find the length of ED.
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MeasurementsExample 9
3 - 21 cm
2 cm 2 cm2 cm
Total Length
Unknown
Given Part
If you are looking for a vertical line,
consider only the given
vertical lines.
Find the length of QR.
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MeasurementsExample 10
3 - 12 cm
1 cm
Total Length
Unknown
Given Part
1 cm
Find the length of UV.
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MeasurementsExample 11
14 - 311 cm
3 cm 3 cm
Total Length
Unknown
Given Part
L K
G
JI
F
?
46 cm
30 cm
20 cm
15 cm
Find the length of GL
More On Squares and RectanglesMeasurements
Example 12
30 + 1545 cm30 cm
15 cm
30 cm
15 cm
Total Length
Unknown
Given Part
10 cm
6 cm? cm
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MeasurementsReview
10 - 64 cm
Total Length
Unknown
Given Part
Remember this?
10 cm
8 cm
? cm
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MeasurementsExample 13
10 - 4
4 cm
This will require 2
steps.
6 cm
1st step – know the length of this part
Total Length
Unknown
Given PartNow, we will
change the data and the
unknown.
10 cm
8 cm
? cm
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MeasurementsExample 13
4 cm
2nd step – know the length of this part.
6 cm2 cm8 - 6
Total Length
Unknown
Given Part
Find the length of GF.
More On Squares and RectanglesMeasurements
G
F
7 cm
4 cm
6 cm
3 cm