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Year 10
Higher

Circle theorems

Lessons (11)

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Checking and securing understanding of the parts of a circle

I can identify the parts of a circle, including finding the area and perimeter of a sector.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

The angle at the centre of the circle is twice the angle at any point on the circumference

I can derive and use the theorem: the angle at the centre of the circle is twice the angle at any point on the circumference.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

The angle in a semicircle is a right angle

I can derive and use the theorem: the angle in a semicircle is a right angle.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

The perpendicular from the centre of a circle to a chord bisects the chord

I can derive and use the theorem: the perpendicular from the centre of a circle to a chord bisects the chord.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

The tangent at any point on a circle is perpendicular to the radius at that point

I can derive and use the theorem: the tangent at any point on a circle is perpendicular to the radius at that point.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

The angles in the same segment are equal

I can derive and use the theorem: the angles in the same segment are equal.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

The alternate segment theorem

I can derive and use the theorem: the alternate segment theorem.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

The opposite angles of a cyclic quadrilateral sum to 180°

I can derive and use the theorem: the opposite angles of a cyclic quadrilateral sum to 180°.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

The tangents from an external point are equal in length

I can derive and use the theorem: the tangents from an external point are equal in length.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

Identifying which circle theorem to use

I can analyse a circle problem and identify and use an appropriate circle theorem to solve it.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

Problem solving with circle theorems

I can use my knowledge of circle theorems to solve problems.

1 Slide deck
1 Worksheet
2 Quizzes
1 Video

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