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Lesson details

Key learning points

  1. In this lesson, we will be looking at different ways of finding triangle centres using construction techniques such as angle bisectors and perpendicular line construction.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
Which of the following describes a centroid?
A centroid is the centre of the circle that inscribes the triangle.
A centroid is the centre of the largest circle that can be inscribed in the triangle.
Correct answer: A centroid is the point at which the triangle would balance on the tip of a pin.
Q2.
Which of the following describes the incentre?
The incentre is the centre of the circle that inscribes the triangle.
Correct answer: The incentre is the centre of the largest circle that can be inscribed in the triangle.
The incentre is the point at which the triangle would balance on the tip of a pin.
Q3.
Which of the following describes the circumcentre?
Correct answer: The circumcentre is the centre of the circle that inscribes the triangle.
The circumcentre is the centre of the largest circle that can be inscribed in the triangle.
The circumcentre is the point at which the triangle would balance on the tip of a pin.
Q4.
Which of the following methods finds the incentre on the triangle?
Correct answer: I would bisect all the angles, and see if they meet.
I would find the midpoint of each side and join those to the opposite vertices, and see if they meet
I would find the perpendicular bisectors of each side and see if they meet…
Q5.
Which of the following methods finds the circumcentre of the triangle?
I would bisect all the angles, and see if they meet.
I would find the midpoint of each side and join those to the opposite vertices, and see if they meet
Correct answer: I would find the perpendicular bisectors of each side and see if they meet…