Solving Bearings and Geometric Problems
1) The bearing of B from A is 270
o
.
Sketch the North line.
X
X
A
B
2) Point C is a on a bearing of
045
o
from B and lies on a
gridline intersection. Sketch C.
N
N
N
A
B
C
D
E
F
G
H
J
80
O
40
O
40
O
120
O
1) Find the bearing
of A from D
2) Find the bearing
of F from H
3) Under what
conditions would
CE be parallel to
AD?
4) B, E and F are
on a straight line.
Find angle EBA.
60
O
Not to scale
1) The bearing of A from B is
180
o
. Sketch the North line.
X
X
A
B
2) Point C is a on a
bearing of 045
o
from B
and lies on a gridline
intersection. Sketch C.
3) The bearing of A from B is
180
o
. Sketch the North line.
X
X
B
A
4) Point C is a on a
bearing of 045
o
from B
and lies on a gridline
intersection. Sketch C.
5) The bearing of A from B is
180
o
. Sketch the North line.
X
X
B
A
6) Point C is a on a
bearing of 045
o
from B
and lies on a gridline
intersection. Sketch C.
1) The bearing of A from B is
180
o
. Sketch A and B.
2) Point C is a on a
bearing of 045
o
from B
and lies on a gridline
intersection. Sketch C.
N
3) The bearing of A from B is
180
o
. Sketch A and B.
4) Point C is a on a
bearing of 045
o
from B
and lies on a gridline
intersection. Sketch C.
N
5) The bearing of A from B is
180
o
. Sketch A and B.
6) Point C is a on a
bearing of 045
o
from B
and lies on a gridline
intersection. Sketch C.
N
1) The bearing of A from B is
180
o
. Sketch a North line and B.
X
A
2) Point C is a on a bearing of
045
o
from B and lies on a
gridline intersection. Sketch C.
3) The bearing of A from B is
180
o
. Sketch a different North
line and B from question 1.
X
A
4) Point C is a on a bearing of
045
o
from B and lies on a gridline
intersection. Sketch C as such
that AC>AB>BC.
5) The bearing of A from B is
180
o
. Sketch a North line and B.
X
A
6) Point C is a on a bearing of
045
o
from B. Sketch C as such
that ABC is an isosceles
triangle. (With compass/ruler)
1) The bearing of A from B is
180
o
. Sketch the North line.
X
X
A
B
2) Point C is a on a
bearing of 045
o
from B
and lies on a gridline
intersection. Sketch C.
1) The bearing of A from B is
180
o
. Sketch A and B.
2) Point C is a on a
bearing of 045
o
from B
and lies on a gridline
intersection. Sketch C.
1) The bearing of A from B is
180
o
. Sketch a North line and B.
X
A
2) Point C is a on a
bearing of 045
o
from B
and lies on a gridline
intersection. Sketch C.
N
N
N
N
A
B
C
D
E
F
G
H
J
80
O
40
O
40
O
120
O
60
O
Not to scale
Properties of isosceles triangles
Sum of interior angles in a triangle
North lines being parallel
Alternate angles in parallel lines
Bearings measured clockwise (& 3 figures)
Right-angles denoted by squares
Sum of interior angles in a quadrilateral
Subtracting overlapping angles sums
Sum of angles in a full turn
Co-interior/allied angle sums on parallel lines
Properties of parallelograms
Filtering out irrelevant angles
This content discusses solving problems involving bearings, geometric shapes, and properties of triangles and lines. It covers determining bearings between points, finding angles in isosceles triangles, and understanding parallel lines and angles. The content also includes information on angles in quadrilaterals and the properties of angles in different geometric configurations.
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Presentation Transcript
Not to scale 1) The bearing of B from A is 270o. 1) Find the bearing Sketch the North line. of A from D N N D N 2) Find the bearing A of F from H X A 3) Under what X B 40O conditions would CE be parallel to G AD? 60O 120O 80O B E F 2) Point C is a on a bearing of 4) B, E and F are H 40O C 045o from B and lies on a on a straight line. gridline intersection. Sketch C. Find angle EBA. J
1) The bearing of A from B is 3) The bearing of A from B is 5) The bearing of A from B is 180o. Sketch the North line. 180o. Sketch the North line. 180o. Sketch the North line. A B X X B X X X B A X A 2) Point C is a on a 4) Point C is a on a 6) Point C is a on a bearing of 045o from B bearing of 045o from B bearing of 045o from B and lies on a gridline and lies on a gridline and lies on a gridline intersection. Sketch C. intersection. Sketch C. intersection. Sketch C.
1) The bearing of A from B is 3) The bearing of A from B is 5) The bearing of A from B is 180o. Sketch A and B. 180o. Sketch A and B. 180o. Sketch A and B. N N N 2) Point C is a on a 4) Point C is a on a 6) Point C is a on a bearing of 045o from B bearing of 045o from B bearing of 045o from B and lies on a gridline and lies on a gridline and lies on a gridline intersection. Sketch C. intersection. Sketch C. intersection. Sketch C.
1) The bearing of A from B is 3) The bearing of A from B is 5) The bearing of A from B is 180o. Sketch a North line and B. 180o. Sketch a different North 180o. Sketch a North line and B. line and B from question 1. A A A X X X 2) Point C is a on a bearing of 4) Point C is a on a bearing of 6) Point C is a on a bearing of 045o from B and lies on a 045o from B and lies on a gridline 045o from B. Sketch C as such gridline intersection. Sketch C. intersection. Sketch C as such that ABC is an isosceles that AC>AB>BC. triangle. (With compass/ruler)
1) The bearing of A from B is 1) The bearing of A from B is 1) The bearing of A from B is 180o. Sketch a North line and B. 180o. Sketch A and B. 180o. Sketch the North line. A X A X X B N 2) Point C is a on a 2) Point C is a on a 2) Point C is a on a bearing of 045o from B bearing of 045o from B bearing of 045o from B and lies on a gridline and lies on a gridline and lies on a gridline intersection. Sketch C. intersection. Sketch C. intersection. Sketch C.
Not to scale Properties of isosceles triangles N N Sum of interior angles in a triangle D N Alternate angles in parallel lines North lines being parallel Bearings measured clockwise (& 3 figures) A Right-angles denoted by squares 40O Sum of interior angles in a quadrilateral Subtracting overlapping angles sums G Sum of angles in a full turn 120O60O 80O B E Co-interior/allied angle sums on parallel lines F H 40O Properties of parallelograms C Filtering out irrelevant angles J
