# Pythagoras’s theorem on the Cartesian plane

In this lesson, you will learn how to use Pythagoras’s theorem on the Cartesian plane to help you find the distance between two given points.

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!

## Question 7

Q1.Which side the the hypotenuse of the below triangle?

1/7

Q2.The digram shows a right-angled triangle. What is the length of the hypotenuse?

2/7

Q3.The right-angled triangle ABC has short sides of length 8 cm and 4 cm. Find the length of AC.

3/7

Q4.Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:

4/7

Q5.Sandra tried to calculate the unknown length. What mistake has she made in Step 1?

5/7

Q6.Sandra tried to calculate the unknown length. What mistake has she made in Step 2?

6/7

Q7.What do you need to do in order to find the area of the triangle shown below.

7/7

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!

## Question 7

Q1.Which side the the hypotenuse of the below triangle?

1/7

Q2.The digram shows a right-angled triangle. What is the length of the hypotenuse?

2/7

Q3.The right-angled triangle ABC has short sides of length 8 cm and 4 cm. Find the length of AC.

3/7

Q4.Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:

4/7

Q5.Sandra tried to calculate the unknown length. What mistake has she made in Step 1?

5/7

Q6.Sandra tried to calculate the unknown length. What mistake has she made in Step 2?

6/7

Q7.What do you need to do in order to find the area of the triangle shown below.

7/7

# 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.

Quiz:

# Pythagoras’s theorem on the Cartesian plane

Exit Quiz

## Question 6

Q1.What is the coordinate of the point shown below?

1/6

Q2.The digram shows a right-angled triangle. Which of the statements is incorrect?

2/6

Q3.Work out the length of the hypotenuse of the triangle shown below.

3/6

Q4.Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:

4/6

Q5.What is the length of the line below

5/6

Q6.Find the distance between the points (2, 1) and (4, 3).

6/6

Quiz:

# Pythagoras’s theorem on the Cartesian plane

Exit Quiz

## Question 6

Q1.What is the coordinate of the point shown below?

1/6

Q2.The digram shows a right-angled triangle. Which of the statements is incorrect?

2/6

Q3.Work out the length of the hypotenuse of the triangle shown below.

3/6

Q4.Use Pythagoras’ Theorem to determine which of the sets of numbers below are Pythagorean triples:

4/6

Q5.What is the length of the line below

5/6

Q6.Find the distance between the points (2, 1) and (4, 3).

6/6

# Lesson summary: Pythagoras’s theorem on the Cartesian plane

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