© t madas. p a r a l l e l l i n e s n e v e r m e e t what are parallel lines? parallel lines stay...
TRANSCRIPT
© T Madas
© T Madas
Para
llel l
ines
nev
er
mee
t
What are parallel lines?
Parallel lines stay the same distance apart
© T Madas
What are perpendicular lines?
Perpendicular lines are lines at right angles with each other
© T Madas
Transversal
1 234
6578
Vertically Opposite Angles
Vertically Opposite Angles are EQUAL
© T Madas
Transversal
1 234
65
78
Corresponding Angles
Corresponding Angles are EQUAL
© T Madas
Transversal
1 234
65
78
Alternate Angles or Z-angles
Alternate Angles are EQUAL
© T Madas
Recognisingthese
Special Angles
© T Madas
Which angle is vertically opposite to angle a ?
Which is the corresponding angle to angle a ?
a12 3
4 56 7
Which angle is vertically opposite to angle k ?
Which is the corresponding angle to angle k ?
k5
7
24
1
6
3
© T Madas
Which is the corresponding angle to angle n ?
Which angle is alternate angle to angle n ?
n1
6
32
547
Which angle is vertically opposite to angle p ?
Which is the alternate angle to angle p ?
p
54
2
7
1
6
3
© T Madas
t
12
3
4
5
6
7
Which angle is vertically opposite to angle t ?
Which is the corresponding angle to angle t ?
Which is the corresponding angle to angle q ?
Which angle is alternate angle to angle q ?
q2
7
31
4 56
© T Madas
b1
23
45
67
Which angle is vertically opposite to angle b ?
Which is the corresponding angle to angle b ?
Which is the corresponding angle to angle h ?
Which angle is alternate angle to angle h ?
h
6
1
5
7
43
2
© T Madas
Which angle is alternate angle to angle x ?
Which are the corresponding angles to angle x ?
x
13
2
8 9
10 11
4 5
7
1213
1415
6
© T Madas
Which angle is alternate angle to angle x ?
Which are the corresponding angles to angle x ?
x
13
2
8 9
10 11
4 5
6 7
1213
1415
© T Madas
Which angle is alternate angle to angle x ?
Which are the corresponding angles to angle x ?
x
13
2
8 9
10 11
4 5
6 7
1213
1415
© T Madas
Which angle is alternate angle to angle x ?
Which are the corresponding angles to angle x ?
x
13
2
8 9
10 11
4 5
6 7
1213
1415
© T Madas
Some Practice
© T Madas
70°
?
50°
© T Madas
?
One of the many solutions:
70° 50°
70°
50°70°
60°
60°
70° 50°
Vertically OppositeVertically Opposite
Alternate anglesCorresponding angles
Vertically OppositeAngles in a triangle
Vertically opposite
© T Madas
One of the many solutions:
70° 50°
70° 50°
How can we find thisangle in one quickStep from this position?
© T Madas
One of the many solutions:
70° 50°
70° 50°
© T Madas
More Practice
© T Madas
62°
118°
62°
62°
straight line
corresponding
vertically opposite
© T Madas
straight line
62°
118°118°
corresponding
© T Madas
48°
56°
48°
48°
48°
56°
vertically opposite
alternate
OR
corresponding
corresponding
corresponding
© T Madas
41°
54°
54°41°
alternate
corresponding
© T Madas
46°
47°
134°
47°
134°
alternate
straight line
corresponding
© T Madas
52°
52°
38°
38°
vertically opposite
angles in a triangle
alternate
© T Madas
© T Madas
2x
3x
2x
Find the value of x and hence calculate these two angles
Alternate Angles
Straight Line
3x + 2x = 180°
5x = 180°
x = 36°
72°
108°
© T Madas
100°
Find the value of the angle marked in purple
52°
48°
52°
48°
© T Madas
Find the value of the angle marked in purple
27°
58°
27°
58°
275°
© T Madas
Find the value of the angle marked in purple
125°
105°
75°
75° 55°
50°
© T Madas
Find the value of x and hence calculate these two angles
2x
3x2x
3x + 2x = 90°
5x = 90°
x = 18°
© T Madas
Find the value of x and hence calculate these two angles
3x + 2x = 90°
5x = 90°
x = 18°
36°
54°
© T Madas
Find the value of angle x ONLY
x
aa
b b2a
2a + 2b = 180°
a + b = 90°
90°
© T Madas
© T Madas
A farm gate consists of three parallel planks of wood with a metal bar running diagonally for extra support, as shown in the diagram.
Calculate the angles x, y and z.
30°
y
x
z
x and the 30° angle are ALTERNATE ANGLES
x = 30°
© T Madas
A farm gate consists of three parallel planks of wood with a metal bar running diagonally for extra support, as shown in the diagram.
Calculate the angles x, y and z.
30°
y
x
z x =
y =
30°
30°
y and the 30° angle are CORRESPONDING ANGLES
© T Madas
A farm gate consists of three parallel planks of wood with a metal bar running diagonally for extra support, as shown in the diagram.
Calculate the angles x, y and z.
30°
y
x
z x =
y =
z =
30°
30°
150°
ALTERNATE ANGLES
30°
© T Madas
© T Madas
A B
CD E
25°
55°
ABCD is a trapeziumADB = 90°DBE = 25° and EBC = 55°
1. Calculate ABD2. Calculate DAB3. Calculate BDC
© T Madas
A
CD E
25°
55°
ABCD is a trapeziumADB = 90°DBE = 25° and EBC = 55°
1. Calculate ABD2. Calculate DAB3. Calculate BDC
B30°
30°
60°
60°
Alternate Angles
Angles of a triangle
© T Madas
A
CD E
25°
55°
ABCD is a trapeziumADB = 90°DBE = 25° and EBC = 55°
1. Calculate ABD2. Calculate DAB3. Calculate BDC
B30°
30°
60°
60°
30°
30°
Alternate Angles
© T Madas