Midpoint of a line segment

The Maths Habit

Which flag is halfway along the path? How do you know?

Q. Count the squares from each house: they are the same.

Line segment: Part of a straight line, with two ends.

Midpoint: The point exactly halfway along a line segment.

Coordinates: Two numbers that give the position of a point.

Halfway: The same distance from each end.

What number is halfway between?

2 and 64

1 and 74

4 and 86

A (2, 1) B (6, 3)M (4, 2)

1Write A and B.Read them off the grid.
2Halfway along.Halfway between the x values.
3Halfway up.Halfway between the y values.

Find the midpoint of AB.

	A	B	Midpoint	1Write A and B.
x	2	6	4	2Halfway along.
y	2	4	3	3Halfway up.

1Write A and B.

2Halfway along.

3Halfway up.

Find the midpoint of AB.

	A	B	Midpoint	1
x	1	3	2	2
y	3	7	5	3

Find the midpoint of AB.

	A	B	Midpoint	1Write A and B.
x	2	6	4	2Halfway along.
y	2	4	3	3Halfway up.

1Write A and B.

2Halfway along.

3Halfway up.

Find the midpoint of AB.

	A	B	Midpoint	1
x	3	7	5	2
y	1	5	3	3

Find the midpoint of AB.

	A	B	Midpoint	1Write A and B.
x	2	6	4	2Halfway along.
y	2	4	3	3Halfway up.

1Write A and B.

2Halfway along.

3Halfway up.

Find the midpoint of AB.

	A	B	Midpoint	1
x	4	6	5	2
y	2	6	4	3

Find the midpoint of AB.

	A	B	Midpoint	1Write A and B.
x	2	6	4	2Halfway along.
y	2	4	3	3Halfway up.

1Write A and B.

2Halfway along.

3Halfway up.

Find the midpoint of AB.

	A	B	Midpoint	1
x	1	5	3	2
y	4	6	5	3

Find the midpoint of each line segment AB.

1

	A	B	Midpoint	1
x	1	3	2	2
y	1	5	3	3

2

	A	B	Midpoint	1
x	2	6	4	2
y	3	7	5	3

3

	A	B	Midpoint	1
x	5	7	6	2
y	1	3	2	3

1Write A and B.

2Halfway along.

3Halfway up.

A (1, 7) B (7, 5)M (4, 6)

1Write A and B.B is lower this time.
2Halfway along.Halfway between the x values.
3Halfway up.Halfway between the y values.

Find the midpoint of AB.

	A	B	Midpoint	1Write A and B.
x	2	6	4	2Halfway along.
y	5	1	3	3Halfway up.

1Write A and B.

2Halfway along.

3Halfway up.

Find the midpoint of AB.

	A	B	Midpoint	1
x	1	3	2	2
y	6	2	4	3

Find the midpoint of AB.

	A	B	Midpoint	1Write A and B.
x	2	6	4	2Halfway along.
y	5	1	3	3Halfway up.

1Write A and B.

2Halfway along.

3Halfway up.

Find the midpoint of AB.

	A	B	Midpoint	1
x	2	4	3	2
y	7	3	5	3

Find the midpoint of AB.

	A	B	Midpoint	1Write A and B.
x	2	6	4	2Halfway along.
y	5	1	3	3Halfway up.

1Write A and B.

2Halfway along.

3Halfway up.

Find the midpoint of AB.

	A	B	Midpoint	1
x	4	6	5	2
y	6	2	4	3

Find the midpoint of AB.

	A	B	Midpoint	1Write A and B.
x	2	6	4	2Halfway along.
y	5	1	3	3Halfway up.

1Write A and B.

2Halfway along.

3Halfway up.

Find the midpoint of AB.

	A	B	Midpoint	1
x	5	7	6	2
y	7	1	4	3

Find the midpoint of each line segment AB.

1

	A	B	Midpoint	1
x	1	5	3	2
y	3	1	2	3

2

	A	B	Midpoint	1
x	3	7	5	2
y	7	5	6	3

3

	A	B	Midpoint	1
x	2	4	3	2
y	6	2	4	3

1Write A and B.

2Halfway along.

3Halfway up.

Is it the midpoint? Write yes or no.

1Is (4, 3) the midpoint of (2, 2) and (6, 4)?Yes
2Is (2, 2) the midpoint of (1, 3) and (5, 7)?No: (3, 5)
3Is (5, 4) the midpoint of (2, 6) and (8, 2)?Yes
4Is (3, 5) the midpoint of (3, 1) and (7, 5)?No: (5, 3)

Midpoint of a line segment worksheet, page 1

Midpoint of a line segment worksheet, page 2

Answer sheet

M(4, 5) is the midpoint of AB. A is (2, 3). Find B.
(6, 7)
Find the midpoint of (1, 2) and (4, 6).
(2.5, 4)
Find the midpoint of (−2, 3) and (4, 1).
(1, 2)

Find the midpoint of AB.
A B Midpoint
x 1 3 2
y 2 4 3
Midpoint (2, 3)
A is (1, 2) and B is (7, 4). Find the midpoint of AB.
A B Midpoint
x 1 7 4
y 2 4 3
(4, 3)
A is (2, 3) and B is (8, 5). Find the midpoint of AB.
Midpoint (5, 4)

	A	B	Midpoint
x	1	3	2
y	2	4	3

	A	B	Midpoint
x	1	7	4
y	2	4	3

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