Starter quiz
- A pair of ______ is a tool which can be used to draw circles and arcs.
- 'compasses' ✓
- The ______ is any line segment that joins the centre of a circle to any point on its circumference.
- 'radius' ✓
- An ______ is part of a curve or part of a circle’s circumference.
- 'arc' ✓
What is the size of the marked angle?- 74° ✓
- 86°
- 106°
- 114°
-
Which edge has length 5 cm?- AC
- CB
- BA ✓
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Which angle is 68°?- ∠JKL
- ∠LKJ
- ∠KJL ✓
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Exit quiz
What is the size of the marked angle?- 44°
- 56°
- 136° ✓
- 144°
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Jacob has got his pair of compasses ready to draw a circle. Which statements will be true?- The radius will be 3 cm.
- The radius will be 6 cm. ✓
- The radius will be 12 cm.
- The diameter will be 6 cm.
- The diameter will be 12 cm. ✓
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The length of BC is ______ cm.- '16' ✓
Which triangle(s) are a correct drawing of the triangle in the sketch? You may assume that all measurements given are accurate.- a ✓
- b ✓
- c
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- Which set of side lengths are impossible to construct a triangle with?
- 10 cm, 7 cm, 6 cm
- 12 cm, 7 cm, 6 cm
- 14 cm, 7 cm, 6 cm ✓
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A triangle is constructed using two circles. The centre of each circle is on the circumference of the other circle. Which statement is true about △ABC?- △ABC is equilateral. ✓
- △ABC is isosceles (but not equilateral).
- △ABC is scalene.
- △ABC is a right-angled triangle.
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- A pair of compasses can be used to draw a circle with a particular radius.
- A ruler and protractor can be used to accurately draw a triangle given enough information.
- A ruler and a pair of compasses can also be used to accurately draw a triangle where the side lengths are known.
Common misconception
Pupils read from the incorrect values on the protractor.
Encourage pupils to consider the type of angle they are drawing. If it is an acute angle, will it really measure 122°?
Keywords
Pair of compasses - A pair of compasses is a tool which can be used to draw circles and arcs. A pair of compasses is sometimes referred to just as a compass.
Radius - The radius is any line segment that joins the centre of a circle to any point on its circumference.
Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.
Arc - An arc is part of a curve. An arc of a circle is part of the circle’s circumference.
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