Reverse bearings
I can work out the bearing of point A from point B, given the bearing of point B from point A.
- Year 10
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
- Bearings are measured from North in a clockwise direction.
- Angle facts can be used to deduce the bearing of point.
- Additional lines may be added to a diagram to facilitate problem solving.
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.
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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A bearing is an measured in degrees from North in the clockwise direction and written with three figures.
Q2.Select the correct understanding of the statement "Diagram not drawn accurately."
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?
Q4.Using the image, what is the bearing from X to Y?
Q5.Using the image, what is the bearing from W to Y?
Q6.Using the image, what is the bearing from X to W?
Assessment exit quiz
6 Questions
Q1. are on the same side of the transversal line and in between the two parallel lines.
Q2.Using the unscaled diagram, work out the bearing from B to A.
Q3.Using the unscaled diagram, work out the bearing from B to A.
Q4.Using the unscaled diagram, work out the bearing from A to B.
Q5.Using the unscaled diagram, work out the bearing from X to W.
Q6.Using the unscaled diagram, match the correct bearings.
