Pythagoras's theorem on the Cartesian plane

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

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.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

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.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

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Worksheet

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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:

Pythagoras’s theorem on the Cartesian plane

Exit Quiz

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

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:

Pythagoras’s theorem on the Cartesian plane

Exit Quiz

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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This was the final lesson in the unit Pythagoras's theorem.

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