SAT Subject Test Mathematics Level 2

To  find    the distance    between (x 1 ,  y 1 )   and (x 2 ,  y 2 ):

Distance    =

GEOMETRY ON THE GRID

Finding midpoints and distances is basically a geometry thing. Here’s another example of a
coordinate geometry question that’s essentially plane geometry transferred to the coordinate
plane.

Example 2

Sketch a diagram to help you comprehend the situation. Plot the three given points and connect
them to make two of the sides of the trapezoid:

If  points  (0,4),  (0,−3), (7,−3), and (j,4)   are consecutive vertices    of  a   trapezoid   of  area    35, what

is  the value   of  j?

1.

(A) 3

(B) 4

(C) 7

(D) 10

(E) 11