SAT Mc Graw Hill 2011

1. If point Ahas coordinates (3, 5), point Bhas
   coordinates (3, 2), and ABCDis a square,
   which of the following could be the coordi-
   nates of point C?
   (A) (4, 2) (B) (6, 2) (C) (6, 6)
   (D) (4, 6) (E) (8, 2)


2. If  1 is a horizontal line passing through (1, 8)
   and  2 is a vertical line passing through (−3, 4),
   then at what point do  1 and  2 intersect?
   (A) (−3, 8) (B) (1, 4) (C) (−1, 6)
   (D) (−2, 12) (E) (0, 0)


3. The point (−3, 4) is on a circle with its center
   at the origin. Which of the following points
   must also be on the circle?
   I. (0, −5)
   II. (−4, −3)
   III. (3, 4)
   (A) I only (B) II only
   (C) I and II only (D) II and III only
   (E) I, II, and III


4. If the point (3, −7) is the center of a circle and
   the point (8, 5) is on the circle, what is the cir-
   cumference of the circle?
   (A) 13π (B) 15π (C) 18π
   (D) 25π (E) 26π


5. In the figure above, point Eis to be drawn so that
   ∆CDEhas the same area as ∆ABC.Which of the
   following could be the coordinates of E?

(A) (16, 5) (B) (3, 8) (C) (5, 12)

(D) (2, 16) (E) (4, 24)

x

y

1

1

B

A C D

6. What is the area, in square units, of the shaded
   region in the figure above?

(A) 32

(B) 33

(C) 34

(D) 35

(E) 36

Note:Figure not drawn to scale.

7. Points Aand Blie on the line y=6, as shown
   above. Lines  1 and  2 pass through the origin,
   and  1 has a slope of^1 ⁄ 2. If the distance from Ato
   Bis 4, what is the slope of line  2?

y

x

y = 6

O

 1 
 2

AB

x

y

1

1

....

1 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

380 McGRAW-HILL’S SAT

SAT Practice 4: Coordinate Geometry