Maths

Solving geometric problems

Key Stage 3, Maths, Coordinates

Introduction
Intro Quiz
Video
Worksheet
Exit Quiz
Lesson summary

Worksheet (pdf)

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Solving geometric problems

In this lesson, we will learn how to solve problems involving midpoints.

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.

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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.Find the mid-point of the points on the number line:

-1-3-6

1/7

Q2.Find the mid-point of the points on the number line:

-1-2-3

2/7

Q3.Find the mid-point of the points on the number line:

-0.5-1-1.5

3/7

Q4.Find the mid-point of the points on the number line:

-0.5-1-1.5

4/7

Q5.What is the coordinates of the midpoint of the line AB?

(4, 2.5)(4, 3)(2.5, 4)(3, 4)

5/7

Q6.Find the midpoints of the line segment connecting the points (0,0) and (8,0).

(0, 4)(4, 0)

6/7

Q7.Find the midpoints of the line segment connecting the points (1,2) and (8,6).

(7,4)(4.5, 4)(9,8)

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.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

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.Find the mid-point of the points on the number line:

-1-3-6

1/7

Q2.Find the mid-point of the points on the number line:

-1-2-3

2/7

Q3.Find the mid-point of the points on the number line:

-0.5-1-1.5

3/7

Q4.Find the mid-point of the points on the number line:

-0.5-1-1.5

4/7

Q5.What is the coordinates of the midpoint of the line AB?

(4, 2.5)(4, 3)(2.5, 4)(3, 4)

5/7

Q6.Find the midpoints of the line segment connecting the points (0,0) and (8,0).

(0, 4)(4, 0)

6/7

Q7.Find the midpoints of the line segment connecting the points (1,2) and (8,6).

(7,4)(4.5, 4)(9,8)

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.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

Solving geometric problems

Exit Quiz

Q1.What are the co-ordinates of point C?

(2, -3)(-3, 2)2, -3(-2, -3)

1/8

Q2.What are the co-ordinates of point D?

(0, -4)(-4, 0)(1, -4)(-1, -4)

2/8

Q3.Which point has the co-ordinates (5, -2)?

ABCD

3/8

Q4.Describe the movement from B to A.

North 3 East 3North 4 West 3South 4 East 3South 3 West 4

4/8

Q5.Which statement best describes line segments A and B?

A is longer than BB is longer than AA and B have the same length

5/8

Q6.Find the coordinates of the remaining vertex for the square.

(1, -3)(-3, 1)(-1,-3)

6/8

Q7.What is the midpoint of the line segment AB?

(-2, 1)(-1, 0)(0, -1)(1, 0)

7/8

Q8.The line segment is one of the sides of a square. If you draw the full square, which of the following could could be the vertex of the square?

(-3, 5)(-3, 6)(-2, 5)

8/8

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.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

Solving geometric problems

Exit Quiz

Q1.What are the co-ordinates of point C?

(2, -3)(-3, 2)2, -3(-2, -3)

1/8

Q2.What are the co-ordinates of point D?

(0, -4)(-4, 0)(1, -4)(-1, -4)

2/8

Q3.Which point has the co-ordinates (5, -2)?

ABCD

3/8

Q4.Describe the movement from B to A.

North 3 East 3North 4 West 3South 4 East 3South 3 West 4

4/8

Q5.Which statement best describes line segments A and B?

A is longer than BB is longer than AA and B have the same length

5/8

Q6.Find the coordinates of the remaining vertex for the square.

(1, -3)(-3, 1)(-1,-3)

6/8

Q7.What is the midpoint of the line segment AB?

(-2, 1)(-1, 0)(0, -1)(1, 0)

7/8

Q8.The line segment is one of the sides of a square. If you draw the full square, which of the following could could be the vertex of the square?

(-3, 5)(-3, 6)(-2, 5)

8/8

Lesson summary: Solving geometric problems

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is:
Forming shapes from midpoints

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