New
New
Year 10
Higher

Checking and securing understanding of advanced angle facts

I can recognise equal corresponding angles, equal alternate angles and supplementary co-interior angles.

New
New
Year 10
Higher

Checking and securing understanding of advanced angle facts

I can recognise equal corresponding angles, equal alternate angles and supplementary co-interior angles.

Lesson details

Key learning points

  1. Corresponding angles are equal if they are on parallel lines and the same side of the transversal.
  2. Alternate angles are equal if they are on parallel lines and the opposite sides of the transversal.
  3. Supplementary co-interior angles sum to 180°

Common misconception

Alternate angles are always equal to each other.

Alternate angles are equal when a transversal intersects parallel lines. If the transversal intersects a pair of lines that are not parallel then the alternate angles will not be equal.

Keywords

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

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

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

Pupils could work in groups for Task C Q2. Using a sheet of A3 paper would allow pupils to be able to write on the sheet with large enough writing that this could be used as part of a display. Different sizes of paper could be used and results compared.
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).

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6 Questions

Q1.
Two lines are if they are straight lines that are always the same (non-zero) distance apart.
Correct Answer: parallel
Q2.
A __________ is a line, line segment, or ray that intersects through two or more lines at distinct (different) points.
tangent
transformation
translation
Correct answer: transversal
Q3.
In which image(s) is the protractor in a correct position to measure the marked angle?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q4.
The size of ∠AED is 105°. Therefore the size of the acute angle ∠DEC is °.
An image in a quiz
Correct Answer: 75, seventy five
Q5.
The size of ∠AED is 105°. Therefore the size of the reflex angle ∠DEA is °.
An image in a quiz
Correct Answer: 255, two hundred and fifty five
Q6.
The size of ∠AED is 105°. Therefore the size of the obtuse angle ∠CEB is °.
An image in a quiz
Correct Answer: 105, one hundred and five

6 Questions

Q1.
The angle that is corresponding with angle $$c$$ is angle .
An image in a quiz
Correct Answer: g, angle g
Q2.
The angle that is alternate with angle $$c$$ is angle .
An image in a quiz
Correct Answer: e, angle e
Q3.
The angle that is co-interior with angle $$c$$ is angle .
An image in a quiz
Correct Answer: f, angle f
Q4.
The angle that is vertically opposite angle $$c$$ is angle .
An image in a quiz
Correct Answer: a, angle a
Q5.
Angles $$d$$ and $$e$$ are __________.
An image in a quiz
alternate
Correct answer: co-interior
corresponding
vertically opposite
Q6.
Angles $$a$$ and $$g$$ are __________.
An image in a quiz
Correct answer: alternate
co-interior
corresponding
vertically opposite