Year 7
Solving geometric problems
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Lesson details
Key learning points
- 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.
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7 Questions
Q1.
Find the mid-point of the points on the number line:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169649%2Fjldl0doidsfaegg6clol.png&w=1920&q=75)
-1
-6
Q2.
Find the mid-point of the points on the number line:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169658%2Fcw6zzhpnarbxoo9o7mnv.png&w=1920&q=75)
-1
-3
Q3.
Find the mid-point of the points on the number line:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169661%2Fzojfx4owpx14kqtchreb.png&w=1920&q=75)
-0.5
-1.5
Q4.
Find the mid-point of the points on the number line:
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169667%2Fymgqzwmftiqzgnqvdxzf.png&w=1920&q=75)
-1
-1.5
Q5.
What is the coordinates of the midpoint of the line AB?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707169677%2Fzlm7ep9inhmjlrzd4hhx.png&w=640&q=75)
(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)
8 Questions
Q1.
What are the co-ordinates of point C?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166545%2Fob6a96rqptljxfmvq6q8.png&w=640&q=75)
(-2, -3)
(2, -3)
2, -3
Q2.
What are the co-ordinates of point D?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166549%2Fz8ft8wxjomyzymi4ocep.png&w=640&q=75)
(-1, -4)
(-4, 0)
(1, -4)
Q3.
Which point has the co-ordinates (5, -2)?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166554%2Fi1h7pfkplve0tver8ui9.png&w=640&q=75)
A
B
C
Q4.
Describe the movement from B to A.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166561%2Fbssgr5dcxfomtaxwzxdo.png&w=640&q=75)
North 3 East 3
South 3 West 4
South 4 East 3
Q5.
Which statement best describes line segments A and B?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166563%2Fztzrbcctlppnxvzwsz2s.png&w=640&q=75)
A is longer than B
B is longer than A
Q6.
Find the coordinates of the remaining vertex for the square.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166575%2Fyxppxtcbwwbtzleoflmy.png&w=640&q=75)
(-1,-3)
(-3, 1)
Q7.
What is the midpoint of the line segment AB?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166580%2Fsaigtvolklhhqacp8mio.png&w=640&q=75)
(-1, 0)
(-2, 1)
(0, -1)
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?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166587%2Fwj52eui64ssozc4sod4l.png&w=640&q=75)
(-2, 5)
(-3, 5)