# Circle Theorems: The perpendicular from the centre to a chord bisects the chord

In this lesson, we will learn that a perpendicular from the centre to a chord bisects the chord. We will prove this result with a general case.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Work out the missing angle x.

1/3

Q2.Work out the missing angle y.

2/3

Q3.Work out the missing angle x.

3/3

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Work out the missing angle x.

1/3

Q2.Work out the missing angle y.

2/3

Q3.Work out the missing angle x.

3/3

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

# Circle Theorems: The perpendicular from the centre to a chord bisects the chord

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Work out the length of the AM.

1/3

Q2.Work out the length of BM.

2/3

Q3.The diagram shows a circle with centre O and M is the midpoint of chord AB. Which statement is INCORRECT?

3/3

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

# Circle Theorems: The perpendicular from the centre to a chord bisects the chord

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Work out the length of the AM.

1/3

Q2.Work out the length of BM.

2/3

Q3.The diagram shows a circle with centre O and M is the midpoint of chord AB. Which statement is INCORRECT?

3/3

# Lesson summary: Circle Theorems: The perpendicular from the centre to a chord bisects the chord

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## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Jog

On the spot:
Dance