SAT Mc Graw Hill 2011

CHAPTER 10 / ESSENTIAL GEOMETRY SKILLS 379

Concept Review 4: Coordinate Geometry

Questions 1–10 refer to the figure below.
Horizontal and vertical lines are spaced 1 unit apart.

1. What are the coordinates
   of point A? __


2. What are the coordinates of the
   midpoint of AB

––

? __

3. What is the slope of AB

––

? __

4. Draw a line through Bthat is parallel to the
   y-axis and label it  1.


5. What do all points on  1 have
   in common? __

x

y

A

B

6. Draw a line through Bthat is parallel to the x-axis
   and label it l 2.


7. Draw the line y=−1 and label it  3.


8. If point Ais reflected over  2 , what are the coordi-
   nates of its image? __


9. If line segment AB

––

is rotated 90°clockwise about

point B,what are the coordinates of the image of

point A? __________

10. If point Bis the midpoint of line segment AC

––

,

what are the coordinates of point C? __________

Rectangle ABCDhas an area of 108.

Note:Figure not drawn to scale.

Questions 11–15 pertain to the figure above.

11.k=_____ m=_____ n=_____ p=_____

12. What is the ratio of ACto
    the perimeter of ABCD? __


13. What is the slope of DB

–––

? __

14. At what point do AC

––

and

DB

–––

intersect? __________

15. If Bis the midpoint of
    segment DF

–––

, what are the

coordinates of point F? __________

x

y

A(2,k) B(m,n)

D(2, 1) C(14,p)

O

Questions 16–18 pertain to the figure above.

16. What is the area of the
    triangle above? __


17. If the triangle above were reflected over the line
    x=3, what would be the least x-coordinate of any
    point on the triangle? __


18. If the triangle above were reflected over the line
    y=1, what would the area of the
    new triangle be? __

x

y

(6, 7)

(-1, 3)

(-1, -1)