AQA · Mathematics · 8300
GCSE Maths: Coordinates: midpoint of a line
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Coordinates: midpoint of a line (Corbettmaths Video 87), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
4 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
What is the formula for finding the midpoint between two points (x₁, y₁) and (x₂, y₂)?
Show answer
((x₁ + x₂)/2, (y₁ + y₂)/2) — average the x-coordinates and average the y-coordinates.
What is the midpoint of the line joining (2, 4) and (6, 10)?
Show answer
(4, 7) — calculated as ((2+6)/2, (4+10)/2).
If M is the midpoint of AB, and we know M and A, how can we find the coordinates of B?
Show answer
Use M = ((xₐ + xᵦ)/2, (yₐ + yᵦ)/2) and solve for xᵦ = 2xₘ − xₐ and yᵦ = 2yₘ − yₐ.
To find the x-coordinate of a midpoint, calculate the ? of the two x-coordinates.
Show answer
average
Want to create your own cards? Create a free account. AI generation uses credits.