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5 cards from this section. Quick, good the night before a test.
Find the distance between (1, 2) and (4, 6).
Subtract the x-values, subtract the y-values, then use Pythagoras.
Find the distance between (−2, 5) and (4, 5).
When the y-coordinates are equal, the distance is just the difference in x.
Which is the distance formula for points (x₁, y₁) and (x₂, y₂)?
Differences, not sums, and do not forget the square root.
What is the distance between A(2, 3) and B(6, 7)?
Simplify √32 by taking out the square factor 16.
Find the point P on the x-axis that is the same distance from A(1, 4) as from B(5, 2).
Compare squared distances so you do not have to deal with square roots.
A circle has centre (2, −1) and passes through (5, 3). Find its radius, and decide whether the points (−2, 2) and (6, 1) lie on, inside or outside the circle.
Compare each point's distance from the centre with the radius.
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