New
New
Year 8

Formal angle notation

I can use conventional terms and notations for lines, rays, segments and angles.

New
New
Year 8

Formal angle notation

I can use conventional terms and notations for lines, rays, segments and angles.

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Lesson details

Key learning points

  1. It is important to use and understand the mathematical word line.
  2. It is important to use and understand the mathematical word ray.
  3. It is important to use and understand the mathematical phrase line segment.
  4. It is important to use and understand the mathematical word angle.

Common misconception

I can draw a 7 cm line with my ruler.

A line is a linear path that continues forever in both directions. We can draw line segments with a ruler, which have distinct endpoints.

Keywords

  • Line - A line is a straight 1D figure that does not have a thickness, and it extends forever in both directions.

  • Ray - A ray is a part of a line with a fixed starting point that extends forever in one direction.

  • Line segment - A line segment is a part of a line with a fixed start point and a distinct fixed end point.

Capital letters identify points, whilst lower case letters identify angles. Where possible, when both points and angles are labelled on a diagram, avoid use of letters whose capital and lowercase representations look similar.
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.
Which of these statements are true about this triangle?
An image in a quiz
$$a$$° = 33°
Correct answer: $$a$$° = 59°
$$a$$° = 90°
It is a right angle triangle.
Correct answer: It is a scalene triangle.
Q2.
This triangle is scalene. Which of these are possible values of $$b$$?
An image in a quiz
10
Correct answer: 12
14
Correct answer: 18
Correct answer: 20
Q3.
Which of these statements are correct for this triangle?
An image in a quiz
The triangle is equilateral.
The triangle is scalene.
Correct answer: The triangle is isosceles.
Correct answer: $$c$$° = 32°
$$c$$° = 116°
Q4.
This diagram shows two intersecting line segments. Match each angle or justification for the size of angles $$d$$° and $$e$$° to the correct value or statement.
An image in a quiz
Correct Answer:size of angle $$\text{ }d$$°,154°

154°

Correct Answer:size of angle $$\text{ }e$$°,26°

26°

Correct Answer:justification for size of angle $$d$$,angles about a point on a straight line sum to 180°

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

Correct Answer:justification for size of angle $$e$$°,vertically opposite angles are equal

vertically opposite angles are equal

Correct Answer:not an angle on this diagram,52°

52°

Q5.
PQ and RS are straight line segments. Match each angle or justification for the size of angles $$g$$° and $$h$$° to the correct statement.
An image in a quiz
Correct Answer:size of angle $$\text{ }g$$°,78°

78°

Correct Answer:size of angle $$\text{ }h$$°,24°

24°

Correct Answer:justification for angle $$g$$°,half of the angle that is vertically opposite 156°

half of the angle that is vertically opposite 156°

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

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

Correct Answer:not a complete justification,vertically opposite angles are equal

vertically opposite angles are equal

Correct Answer:not angle $$\text{ }g° \text{or }h°$$,156°

156°

Q6.
Three different triangles each have an angle of 40°. Match the name of each triangle to their possible angles.
Correct Answer:isosceles,another angle of 40° and one 100°

another angle of 40° and one 100°

Correct Answer:scalene,one angle of 82° and another of 58°

one angle of 82° and another of 58°

Correct Answer:right-angled scalene,an angle of 90° and one of 50°

an angle of 90° and one of 50°

Correct Answer:equilateral,impossible to have this triangle with an angle of 40°

impossible to have this triangle with an angle of 40°

6 Questions

Q1.
Match each linear path to its name.
An image in a quiz
Correct Answer:linear path A,ray

ray

Correct Answer:linear path B,line

line

Correct Answer:linear path C,line segment

line segment

Q2.
Which of these linear paths will pass through point X?
An image in a quiz
Correct answer: line segment BF
line through A and B
Correct answer: line through D and E
ray from C through A
Correct answer: ray from A through C
Q3.
Match each angle given in three-point notation to the angle represented by a letter.
An image in a quiz
Correct Answer:∠CAD,$$b$$°

$$b$$°

Correct Answer:∠EAD,$$c$$°

$$c$$°

Correct Answer:∠BAC,$$a$$°

$$a$$°

Correct Answer:∠BAD,$$(a + b)$$°

$$(a + b)$$°

Q4.
Match each angle given in three-point notation to its size.
An image in a quiz
Correct Answer:∠HFI,87°

87°

Correct Answer:∠GFI,155°

155°

Correct Answer:∠HFJ,179°

179°

Correct Answer:∠GFJ,113°

113°

Correct Answer:reflex ∠GFJ,247°

247°

Q5.
$$\theta$$° = 87°. Match each type of angle to a correct angle from the diagram.
An image in a quiz
Correct Answer:acute,∠MKN

∠MKN

Correct Answer:right angle,∠LKP

∠LKP

Correct Answer:obtuse,∠MKP

∠MKP

Correct Answer:reflex,100° + $$\theta$$°

100° + $$\theta$$°

Q6.
Each square on this grid is one unit in length. Match the line segment to the correct description.
An image in a quiz
Correct Answer:CD,Line segment parallel to BF

Line segment parallel to BF

Correct Answer:EF,Line segment perpendicular to CD

Line segment perpendicular to CD

Correct Answer:BG,Line segment with a length of 5 units

Line segment with a length of 5 units

Correct Answer:EG,Line segment parallel to AB

Line segment parallel to AB