New
New
Year 10
Foundation

Reverse bearings

I can work out the bearing of point A from point B, given the bearing of point B from point A.

New
New
Year 10
Foundation

Reverse bearings

I can work out the bearing of point A from point B, given the bearing of point B from point A.

Lesson details

Key learning points

  1. Bearings are measured from North in a clockwise direction.
  2. Angle facts can be used to deduce the bearing of point.
  3. Additional lines may be added to a diagram to facilitate problem solving.

Common misconception

Pupils do not measure the angle from North and simply measure the angle between two line segments.

Reiterate bearings are always measured from North, in a clockwise direction and stated as 3 figures. Encourage pupils to draw North on the correct position before attempting the question.

Keywords

  • Transversal - A transversal is a line, line segment, or ray that intersects through two or more lines at distinct (different) points.

  • Corresponding - Corresponding angles are a pair of angles at different vertices on the same side of a transversal in equivalent positions.

  • Alternate - Alternate angles are a pair of angles, both between or both outside two line segments, that are on opposite sides of the transversal that cuts them.

  • Co-interior - Co-interior angles are on the same side of the transversal line and in between the two other lines.

  • Bearing - A bearing is an angle measured in degrees from North in the clockwise direction and written with three figures.

Using MWBs, ask pupils to draw two points: A and B. Ask them to estimate the bearing of A from B and then the bearing of B from A. Have them discuss with a partner their reasoning behind their estimations. Are some estimates better than others? Why? Did anyone use known angle facts?
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Loading...

6 Questions

Q1.
A bearing is an measured in degrees from North in the clockwise direction and written with three figures.
Correct Answer: angle
Q2.
Select the correct understanding of the statement "Diagram not drawn accurately."
You measure the angle with a protractor as it is a scaled drawing.
Correct answer: You cannot measure the angle with a protractor as it is an unscaled drawing.
Correct answer: You calculate bearings using angle facts.
You use a ruler to measure distances.
Q3.
4 towns have been plotted on a map; A followed by B followed by C and then followed by D. They all sit on the same line segment. The bearing from A to B is 134°. What is the bearing from B to C?
046°
Correct answer: 134°
200°
226°
Q4.
Using the image, what is the bearing from X to Y?
An image in a quiz
060°
Correct answer: 120°
240°
300°
Q5.
Using the image, what is the bearing from W to Y?
An image in a quiz
043°
046°
46°
Correct answer: 089°
89°
Q6.
Using the image, what is the bearing from X to W?
An image in a quiz
101°
137°
Correct answer: 223°
259°

6 Questions

Q1.
are on the same side of the transversal line and in between the two parallel lines.
Correct answer: Co-interior angles
Alternate angles
Vertically opposite angles
Corresponding angles
Q2.
Using the unscaled diagram, work out the bearing from B to A.
An image in a quiz
025°
105°
155°
Correct answer: 205°
Q3.
Using the unscaled diagram, work out the bearing from B to A.
An image in a quiz
034°
146°
224°
Correct answer: 326°
Q4.
Using the unscaled diagram, work out the bearing from A to B.
An image in a quiz
Correct answer: 021°
159°
201°
339°
Q5.
Using the unscaled diagram, work out the bearing from X to W.
An image in a quiz
97°
097°
Correct answer: 263°
277°
Q6.
Using the unscaled diagram, match the correct bearings.
An image in a quiz
Correct Answer:Bearing from W to X,043°

043°

Correct Answer:Bearing from X to Y,101°

101°

Correct Answer:Bearing from Y to X,079°

079°

Correct Answer:Bearing from Y to W,269°

269°