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.
- What are the coordinates
of point A? __ - What are the coordinates of the
midpoint of AB
––
? __
- What is the slope of AB
––
? __
- Draw a line through Bthat is parallel to the
y-axis and label it 1. - What do all points on 1 have
in common? __
x
y
A
B
- Draw a line through Bthat is parallel to the x-axis
and label it l 2. - Draw the line y=−1 and label it 3.
- If point Ais reflected over 2 , what are the coordi-
nates of its image? __ - If line segment AB
––
is rotated 90°clockwise about
point B,what are the coordinates of the image of
point A? __________
- 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=_____
- What is the ratio of ACto
the perimeter of ABCD? __ - What is the slope of DB
–––
? __
- At what point do AC
––
and
DB
–––
intersect? __________
- 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.
- What is the area of the
triangle above? __ - If the triangle above were reflected over the line
x=3, what would be the least x-coordinate of any
point on the triangle? __ - 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)