New
New
Year 8

Angles on parallel lines traversed by a straight line

I can use facts about a pair of parallel lines traversed by a straight line.

New
New
Year 8

Angles on parallel lines traversed by a straight line

I can use facts about a pair of parallel lines traversed by a straight line.

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Lesson details

Key learning points

  1. Alternate, corresponding and co-interior angles can be identified in diagrams containing pairs of parallel lines.
  2. Facts about angles in parallel lines can be used to find unknown angles.
  3. Facts about angles in parallel lines can be used in succession to find multiple unknown angles.

Keywords

  • Parallel - Two lines are parallel if they are straight lines that are always the same (non-zero) distance apart.

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

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

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

  • Vertically opposite angles - Vertical angles are pairs of opposite angles formed when two lines intersect at a point. They are equal.

Common misconception

Pupils may struggle with the justifications rather than getting to the answer.

Keep asking pupils "why?" and encourage them to ask themselves, whenever they are working out an angle.

Pupils could make their own parallel line problem up for peers to complete. They can think about how many angles are necessary to give and the most efficient route to the answer.
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).

Lesson video

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6 Questions

Q1.
Using this diagram, you know that the angles are supplementary so $$a$$ is °.
An image in a quiz
Correct Answer: 60, sixty
Q2.
Which of these show equal angles?
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q3.
Which of these pairs of angles are equal corresponding angles?
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$$a$$ and $$h$$
Correct answer: $$b$$ and $$f$$
Correct answer: $$c$$ and $$g$$
$$d$$ and $$e$$
$$g$$ and $$h$$
Q4.
is marked with the letter $$a$$.
An image in a quiz
Correct Answer: PQS, SQP
Q5.
Which of the following are always true statements about the angles marked $$x$$ and $$y$$?
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$$x=y+180$$
$$y=x+180$$
$$x=y$$
Correct answer: $$x+y=180$$
Correct answer: $$y=180-x$$
Q6.
$$3x+14=7x-46$$ as the angles are equal angles.
An image in a quiz
Correct Answer: alternate, interior alternate

6 Questions

Q1.
Two lines are parallel if they are straight lines that are always the same (non-zero) apart.
Correct Answer: distance
Q2.
For the two lines crossing the transversal to be parallel, if $$c=100°$$ then $$g=$$ °.
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Correct Answer: 100
Q3.
Which statement about the diagram is correct?
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Correct answer: $$x° = 126°$$ as the angles are equal interior alternate angles
$$x° = 126°$$ as the angles are equal exterior alternate angles
$$x° = 126°$$ as the angles are equal corresponding angles
Q4.
Which single additional parallel line is needed on the diagram to enable you to find the value of $$x$$?
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a
Correct answer: b
c
Q5.
$$y°=$$ °.
An image in a quiz
Correct Answer: 72, seventy two, 72°
Q6.
Which of the following statements are true?
An image in a quiz
$$x=58+89$$
Correct answer: $$x=58+(180-89)$$
$$x=(180-58)+89$$
Correct answer: $$x=58+91$$