Midpoint of a Line Segment worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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2 marks
\(A\) is the point \((3, 7)\) and \(B\) is the point \((5, 11)\).
Find the coordinates of the midpoint of \(AB\).
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2 marks
\(P\) has coordinates \((1, 5)\) and \(Q\) has coordinates \((17, 3)\).
Work out the coordinates of the midpoint of \(PQ\).
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2 marks
The line segment \(CD\) is drawn on the grid.
Work out the coordinates of the midpoint of \(CD\).
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2 marks
\(A\) has coordinates \((-9, 1)\) and \(B\) has coordinates \((4, -8)\).
Calculate the coordinates of the midpoint of \(AB\).
Give each coordinate as a decimal.
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4 marks
\(AB\) is a diameter of a circle.
\(A\) has coordinates \((-1, -6)\) and \(B\) has coordinates \((-7, 2)\).
(a)Write down the coordinates of the centre of the circle.
(b)\(PQ\) is a different diameter of the same circle.
\(P\) has coordinates \((-8, -5)\).
Find the coordinates of \(Q\).
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4 marks
The triangle \(PQR\) is drawn on the grid.
(a)Work out the coordinates of the midpoint of \(PQ\).
(b)Work out the coordinates of the midpoint of \(QR\).
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3 marks
The grid is a map of a village. Each unit stands for 1 km.
(a)State the coordinates of the Pool.
(b)Nadia lives exactly halfway along the straight line from the Pool to the Market.
Work out the coordinates of she house.
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3 marks
\(M\) is the midpoint of \(AB\).
\(A\) has coordinates \((-8, -2)\) and \(M\) has coordinates \((-12, -1)\).
Find the coordinates of \(B\).
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3 marks
\(EFGH\) is a parallelogram.
Work out the coordinates of the point where the diagonals \(EG\) and \(FH\) cross.
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3 marks
\(EF\) is drawn on the grid.
Calculate the coordinates of the midpoint of \(EF\).
Answers
- \((4, 9)\)
- \((9, 4)\)
- \((-3, 2)\)
- \((-2.5, -3.5)\)
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(a) \((-4, -2)\)
(b) \((0, 1)\) -
(a) \((1, -3)\)
(b) \((-1, -1)\) -
(a) \((2, 0)\)
(b) \((3, 3)\) - \((-16, 0)\)
- \((-1, 2)\)
- \((9, 13)\)