# Solving geometric problems

## Lesson details

### Key learning points

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

### 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.

## Video

Share with pupils

## Worksheet

Share with pupils

## Starter quiz

Share with pupils

### 7 Questions

Q1.
Find the mid-­point of the points on the number line:
-1
-6
Q2.
Find the mid-­point of the points on the number line:
-1
-3
Q3.
Find the mid-­point of the points on the number line:
-0.5
-1.5
Q4.
Find the mid-­point of the points on the number line:
-1
-1.5
Q5.
What is the coordinates of the midpoint of the line AB?
(2.5, 4)
(3, 4)
(4, 2.5)
Q6.
Find the midpoints of the line segment connecting the points (0,0) and (8,0).
(0, 4)
Q7.
Find the midpoints of the line segment connecting the points (1,2) and (8,6).
(7,4)
(9,8)

## Exit quiz

Share with pupils

### 8 Questions

Q1.
What are the co-ordinates of point C?
(-2, -3)
(2, -3)
2, -3
Q2.
What are the co-ordinates of point D?
(-1, -4)
(-4, 0)
(1, -4)
Q3.
Which point has the co-ordinates (5, -2)?
A
B
C
Q4.
Describe the movement from B to A.
North 3 East 3
Correct answer: North 4 West 3
South 3 West 4
South 4 East 3
Q5.
Which statement best describes line segments A and B?
Correct answer: A and B have the same length
A is longer than B
B is longer than A
Q6.
Find the coordinates of the remaining vertex for the square.
(-1,-3)
(-3, 1)
Q7.
What is the midpoint of the line segment AB?
(-1, 0)
(-2, 1)
(0, -1)