For those of you who prefer to memorize formulas, here is the monstrous
(and easily forgettable) distance formula, from one point (x 1 , y 1 ) to another point
(x 2 , y 2 ):*
*It doesn’t matter which point you call “point 1” and which one you call “point 2.” You will get the same answer either way.
—Samantha
The midpoint, on the other hand, is easier to calculate using a formula,
because the formula is much easier to remember. It’s just the average of the x
values and the average of the y values:
What is the midpoint between the points (–2,2) and (10,4)?
x-coordinate:
y-coordinate:
The midpoint is (4,3).
A FEW MORE SYMBOLS
It’s possible you will see these on the SAT, so you should know what they are:
a line with A and B as points on the line
a ray with point A as an endpoint
a line segment with A and B as endpoints
ΔABC ≅ ΔDEF triangle ABC is congruent (equal) to triangle DEF
ΔABC ~ ΔDEF triangle ABC is similar to triangle DEF
CIRCLES
A circle looks pretty familiar, even when plotted on a graph: