icon-background-square
New
New
Year 8

Corresponding angles

I can recognise that a pair of parallel lines traversed by a straight line produces equal corresponding angles.

icon-background-square
New
New
Year 8

Corresponding angles

I can recognise that a pair of parallel lines traversed by a straight line produces equal corresponding angles.

warning

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.

Lesson details

Key learning points

  1. The different arrangements of 3 line segments can be described and categorised.
  2. One of these arrangements involves a transversal.
  3. Corresponding angles can be identified in this arrangement.
  4. If the lines cut by the transversal are parallel these corresponding angles are equal.
  5. Knowledge of corresponding angles can be used to find unknown angles.

Keywords

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

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

Common misconception

Transversals must intersect a pair of parallel lines.

Transversals can intersect any set of lines or line segments, no matter whether any of those lines or line segments are parallel or not.

It is important to emphasise the quality of a student's explanation when justifying the size of an angle. "Corresponding angles are equal" can be more accurately worded as "corresponding angles on a pair of parallel lines are equal".
speech-bubble
Teacher tip
copyright

Licence

This content is © Oak National Academy Limited (2024), licensed on

except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Loading...

6 Questions

Q1.
TU is a straight line segment. Find the size of angle $$a$$, in degrees.
An image in a quiz
Correct Answer: 34, 34°, 34 degrees, 34degrees
Q2.
This diagram shows two intersecting line segments. Match each angle or justification for the size of angles $$b$$° and $$c$$° to the correct value or statement.
An image in a quiz
Correct Answer:size of angle $$\text{ }b$$°,162°
tick

162°

Correct Answer:size of angle $$\text{ }c$$°,18°
tick

18°

Correct Answer:justification for angle $$b$$°,angles about a point on a straight line sum to 180°
tick

angles about a point on a straight line sum to 180°

Correct Answer:justification for angle $$c$$°,vertically opposite angles are equal
tick

vertically opposite angles are equal

Correct Answer:not an angle on this diagram,36°
tick

36°

Q3.
Match the line segment to the correct description that completes each sentence.
An image in a quiz
Correct Answer:AB,is parallel to IJ
tick

is parallel to IJ

Correct Answer:CD,is parallel to GH
tick

is parallel to GH

Correct Answer:KL,is not parallel to any other line segment in this diagram
tick

is not parallel to any other line segment in this diagram

Q4.
Match each angle to its size.
An image in a quiz
Correct Answer:$$d$$°,110°
tick

110°

Correct Answer:$$e$$°,70°
tick

70°

Correct Answer:$$g$$°,38°
tick

38°

Correct Answer:$$h$$°,104°
tick

104°

Correct Answer:not an angle in this diagram,56°
tick

56°

Q5.
AB, CD, and EF are all straight line segments. By first calculating the size of angles $$j$$° and $$k$$°, find the value of $$(j+k)$$°.
An image in a quiz
Correct Answer: 180, 180°
Q6.
Match each line segment to its correct description.
An image in a quiz
Correct Answer:AE,is parallel to CD
tick

is parallel to CD

Correct Answer:AF,is parallel to BD
tick

is parallel to BD

Correct Answer:BF,is perpendicular to CD
tick

is perpendicular to CD

Correct Answer:AF,a longer line segment with a gradient of $$-\frac{1}{3}$$
tick

a longer line segment with a gradient of $$-\frac{1}{3}$$

Correct Answer:BD,a shorter line segment with a gradient of $$-\frac{1}{3}$$
tick

a shorter line segment with a gradient of $$-\frac{1}{3}$$

6 Questions

Q1.
Which of these statements is true for a transversal?
Correct answer: It is a line, a ray, or a line segment.
It must be a ray, as it can only extend infinitely in one direction.
Correct answer: It means to travel or lie across multiple things.
Correct answer: It is a line that lies across a group of other lines.
It means to intersect at a corresponding angle.
Q2.
Which of these line segments is a transversal?
An image in a quiz
AB
Correct answer: CD
EF
GH
They are all transversals to each other.
Q3.
Which angle is corresponding to angle $$\theta$$°?
An image in a quiz
$$a$$°
$$b$$°
Correct answer: $$c$$°
$$d$$°
Q4.
Which of these statements are correct for this diagram?
An image in a quiz
The transversal intersects two perpendicular line segments.
Correct answer: The transversal intersects two parallel line segments.
Angle $$x$$° = 66° because $$x$$° is parallel to 66°.
Correct answer: Angle $$x$$° = 66° because $$x$$° is corresponding to 66°.
Angle $$x$$° = 66° because $$x$$° is vertically opposite 66°.
Q5.
What is the size of angle $$x$$, in degrees?
An image in a quiz
Correct Answer: 131, 131°, 131 degrees, 131degrees
Q6.
Which angles are corresponding to $$\theta$$°?
An image in a quiz
$$a$$°
Correct answer: $$b$$°
$$c$$°
Correct answer: $$d$$°
$$e$$°