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1.4 WE 9 8 7 6 5 4 3 2 1 D S A L T E 5. Q1 Name the vertex and the sides of Q2 Name all the angles adjacent to . ADE , , E AB AB
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1.4 WE
9 8 7
65
43
21
D
S
A
L T
E5.Q1 Name the vertex and the sides of
Q2 Name all the angles adjacent to .ADE
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1.4 WE
9 8 7
65
43
21
D
S
A
L T
E5.Q1 Name the vertex and the sides of
Q2 Name all the angles adjacent to .ADE
, ,E AB AB����������������������������
,ADL EDL
9 8 7
65
43
21
D
S
A
L T
E
3 1
4 3
5 5
State another name for each angle.
6 ALD
7 AST
8 LES
, var .DLT ELS and other iations
9 8 7
65
43
21
D
S
A
L T
E
3 1
4 3
5 5
State another name for each angle.
6 ALD
7 AST
8 LES
, var .DLT ELS and other iations
, var .LAD LAT and other iations
9 8 7
65
43
21
D
S
A
L T
E
3 1
4 3
5 5
State another name for each angle.
6 ALD
7 AST
8 LES
, var .DLT ELS and other iations
, var .LAD LAT and other iations
, var .LEA DEAand other iations
9 8 7
65
43
21
D
S
A
L T
E
3 1
4 3
5 5
State another name for each angle.
6 ALD
7 AST
8 LES
, var .DLT ELS and other iations
, var .LAD LAT and other iations
, var .LEA DEAand other iations
2, var .ALE and other iations
9 8 7
65
43
21
D
S
A
L T
E
3 1
4 3
5 5
State another name for each angle.
6 ALD
7 AST
8 LES
, var .DLT ELS and other iations
, var .LAD LAT and other iations
, var .LEA DEAand other iations
2, var .ALE and other iations
, var .S TSE and other iations
9 8 7
65
43
21
D
S
A
L T
E
3 1
4 3
5 5
State another name for each angle.
6 ALD7 AST
8 LES
, var .DLT ELS and other iations
, var .LAD LAT and other iations
, var .LEA DEAand other iations
2, var .ALE and other iations
, var .S TSE and other iations
6, var .DES and other iations
9 8 7
65
43
21
D
S
A
L T
E9 2
10 LAS
11 ALT
State whether the angle appears to be acute, right, obtuse or straight.
12 S13 LST
14 EDT
Acute
9 8 7
65
43
21
D
S
A
L T
E9 2
10 LAS
11 ALT
State whether the angle appears to be acute, right, obtuse or straight.
12 S13 LST
14 EDT
Acute
Acute
9 8 7
65
43
21
D
S
A
L T
E9 2
10 LAS
11 ATL
State whether the angle appears to be acute, right, obtuse or straight.
12 S13 LST
14 EDT
Acute
Acute
Right
9 8 7
65
43
21
D
S
A
L T
E9 2
10 LAS
11 ATL
State whether the angle appears to be acute, right, obtuse or straight.
12 S13 LST
14 EDT
Acute
Acute
Right
Acute
9 8 7
65
43
21
D
S
A
L T
E9 2
10 LAS
11 ATL
State whether the angle appears to be acute, right, obtuse or straight.
12 S13 LTS
14 EDT
Acute
Acute
Right
Acute
Straight
9 8 7
65
43
21
D
S
A
L T
E9 2
10 LAS
11 ATL
State whether the angle appears to be acute, right, obtuse or straight.
12 S13 LTS
14 EDT
Acute
Acute
Right
Acute
Straight
Obtuse
9 8 7
65
43
21
D
S
A
L T
E
Complete the sentence.
15 3 4 ____m m m
16 2 ____m ALS m m
17 1 2, ____ sec ____If m m then bi ts
18 ____m LDA m ADE m
LAE
9 8 7
65
43
21
D
S
A
L T
E
Complete the sentence.
15 3 4 ____m m m
16 2 ____m ALS m m
17 1 2, ____ sec ____If m m then bi ts
18 ____m LDA m ADE m
LAE
1
9 8 7
65
43
21
D
S
A
L T
E
Complete the sentence.
15 3 4 ____m m m
16 2 ____m ALS m m
17 1 2, ____ sec ____If m m then bi ts
18 ____m LDA m ADE m
LAE
1
AB��������������
ALT
9 8 7
65
43
21
D
S
A
L T
E
Complete the sentence.
15 3 4 ____m m m
16 2 ____m ALS m m
17 1 2, ____ sec ____If m m then bi ts
18 ____m LDA m ADE
LAE
1
AB��������������
ALT
180
019 90
Without measuring sketch each angle, then measure for accuracy.
020 45
021 150
022 10
Each angle is half of 90 or 45
150 = 90+60150 = 90+30+30
190 303
130 103
Draw a line, . Choose a point O between A and B. Use a protractor to investigate the following questions.
Q23. In a plane represented by your paper, how many lines
can you draw through O that will form a 300 angle with ?
A O B
2
OB��������������
Draw a line, . Choose a point O between A and B. Use a protractor to investigate the following questions.
Q24. In a plane represented by your paper, how many lines
can you draw through O that will form a 900 angle with ?
A O B
1
OB��������������
Q25 Using a ruler, draw a large triangle. Then use a protractor to find the approximate measure of each angle and compute the sum of the three measures of each angle. Repeat the exercise. Do you get the same result?
mACB = 41mABC = 49mBAC = 90
A C
B
Sum = 1800
mACB = 54mABC = 54mBAC = 71
A C
B
Sum = 1800
Yes
43
2 1
Q26 Find the measures of angle 2, 3, & 4 when the measure of angle 1 = 90.
1 90 ...
2 90, 3 90, 4 90
m therefore
m m m
Q27 Find the measures of angle 2, 3, & 4 when the measure of angle 1 = t.
1 90 ...
2 180 , 3 , 4 180
m therefore
m t m t m t
Note that adjacent angles add up to 1800.
A
O
B
C
Q28 A careless person wrote, using the figure shown,
m AOB m BOS m AOC
What part of the angle addition postulate did that person overlook?
B must be in the interior of AOC
secAL bi ts KAT��������������
S TA
K
LFind the value of x.
29 3 6 , 90m x m KAT X
3 21
6X90 - X
First label the diagram to visualize the situation.
Second, find an equation using x.
6 90 180x x 5 90 180x 5 90x
18x
secAL bi ts KAT��������������
S TA
K
LFind the value of x.
30 1 7 3, 2 6 7m x m x
3 21First label the diagram to
visualize the situation.
Second, find an equation using x.
6 7 7 3x x
6x + 7
7x +3
4 xNote that the drawing needs to be done again for each problem!
secAL bi ts KAT��������������
S TA
K
LFind the value of x.
31 1 5 12, 2 3 6m x m x
3 21First label the diagram to
visualize the situation.
Second, find an equation using x.
5 12 3 6x x
3x + 6
5x - 12
9x
12 12
5 3 18x x -3x -3x
2 18x ___ ____
2 2
For most students, the red steps should be mental steps.
Note that the drawing needs to be done again for each problem!
secAL bi ts KAT��������������
S TA
K
LFind the value of x.
32 1 , 3 4m x m x
3 21First label the diagram to
visualize the situation.
Second, find an equation using x.
4 180x x x
x
x
30x
6 180x
4x
Note that the drawing needs to be done again for each problem!
secAL bi ts KAT��������������
S TA
K
LFind the value of x.
33 1 2 8, 3 116m x m
3 21First label the diagram to
visualize the situation.
Second, find an equation using x.
116 2 8 2 8 180x x
2x - 8
2x - 8
20x4 80x
116
Note that the drawing needs to be done again for each problem!
116 4 16 180x 100 4 180x
secAL bi ts KAT��������������
S TA
K
LFind the value of x.
34 2 12, 3 6 20m x m x
3 21First label the diagram to
visualize the situation.
Second, find an equation using x.
6 20 12 12 180x x x
X + 12
X + 12
22x
8 176x
6x -20
8 4 180x
C’est fini.
The End