C(-1,4). B(3,3). A(-2,3). D(-1,-3). y. x. Distance. Lengths parallel to the axes are calculated as if it was a number line . Examples 1) Calculate the length of AB. 3 – –2 = 5 u. 2) Calculate the length of CD. 4 – –3 = 7 u. y. ( x 2 , y 2 ). y 2. y 1. ( x 1 , y 1 ).
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To calculate the length of a sloping line:
If you forget this formula or forget how to apply it, just use Pythagoras’ theorem instead.
Calculate the distance between the
points P(6, –1) and Q(–2, 5).
Does it matter which point is (x1, y1) or (x2, y2)?
NO, either point can be!!!
Remember to show the units, normally “u” in this style of question
Calculate the exact distance between the points E(2, 5) and F(–4, 1).
I would let the point with negative values be (x1, y1).
If you need an exact answer, make sure you leave it as a surd.
For now we will stop here
BUT, you can simplify
If the question does not specify how it wants the answer, give an exact answer.
Pages 334 → 335
Do some more if you need more practice
Q5 & 6 a, c, e . . .
Q1 & 2a→L,
Q4 & 5 a, c, e…
Q1 & 2 column 1,
Q3 & 4 all