Page 34 - Calculus Workbook For Dummies

18 Part I: Pre-Calculus Review

u Compute the area of the parallelogram. The answer is 20 2.
4
The height is , or 2 2, because the height is one of the legs of a 45°-45°-90° triangle, and
2
the base is 10. So, because the area of a parallelogram equals base times height, the area is
10 2 $ , 2 or 20 2.
d - b rise y 2 - y 1
v What’s the slope of PQ? c - a . Remember that slope= run = x 2 - x 1 .
2 2
w How far is it from P to Q? ^ c - a + ^h d - bh

2 2
i
Remember that distance= _ x 2 - x 1 + _ y 2 - y 1i .
a + c b + d
x What are the coordinates of the midpoint of PQ? c , m. The midpoint of a segment is
2 2
given by the average of the two x coordinates and the average of the two y coordinates.