# Quadrilaterals in circles

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## Lesson details

### Key learning points

- In this lesson, we will learn to form quadrilaterals using the properties of circles. We will also learn to use symmetrical properties of special quadriaterals.

### Licence

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.

How many can be constructed with the following angle measures?100°, 40°, 40°

Exactly one triangle can be constructed

No triangles can be constructed

Q2.

How many triangles can you draw with three side lengths of 4 cm, 5 cm and 10cm?

Four possibilities

One possibility

Two possibilities

Q3.

Complete the sentence about the image below: You can construct different triangles if you are given two _____ and one _____ angle.

exterior, side

interior, side

side, exterior

Q4.

For the image below, both of the triangles above have side lengths of ______ and 7cm and an interior angle of ______.

4cm and 148°

7cm and 74°

Q5.

How many triangles can you draw with this information? One side of length 7 cm, one side of length 5cm and a 40° angles.

Impossible

One possibility

Two possibilities

### 5 Questions

Q1.

Complete the sentence by choosing the correct option below: We can use our knowledge of _______ to describe the ______ of quadrilaterals.

arcs, length

circles, radius

constructions, properties

Q2.

Use the image to help you complete the sentence: The ______ is the same length in both circles. The sides of the shaded quadrilateral are all radii, so they are ________ in length

diameter, different

diameter, equal

radius, different

Q3.

The quadrilateral below is a....

Kite

Parallelogram

Sqaure

Q4.

Choose a quadrilateral you can form by joining dots on the circle below.

Kite

Parallelogram

Square

Q5.

Choose A, B, C or D for the statement below.

A

B

D