Dear Accelerated Analytic Geometry Student,
This is a fast-paced, college preparatory math course. It emphasizes more complex applications
and challenging exercises than might be encountered in the traditional high school course. Your
success in this class will be the result of the consistency of your study and homework habits.
Reviewing class notes each night and diligent homework efforts will greatly enhance your learning
process. You are a student whose job and responsibility is to be the best student that you can be!
During the semester, we will be learning many new concepts in Accelerated Analytical
Geometry. Because of the pace and rigor of the course, there will not be a lot of time to spend
reviewing topics that you were exposed to in Accelerated Coordinate Algebra or previous math
courses. This packet is a review of those topics and courses. Work all of the problems neatly on
notebook paper, numbering your work, and CIRCLING your answers. Be sure to make a note of the
problems that you have difficulty solving. For the graphing problems, you may use graphing paper or
make your own sketch on notebook paper. You must show your work for problems in the review
packet. Do not list only an answer.
The completed packet represents your first graded assignment in Accelerated Math II and is due
on the first day of school, August 1, 2015, to Mrs. Dedman in Room 4020.
I look forward to working with each of you this next school year.
Sincerely,
Mrs. Dedman
Accelerated Analytic Geometry teacher
Accelerated Geometry Summer Work Packet
Find the slope, x-intercept and y-intercept for each line and the graph each line.
2. y  2 x
3. x  y  4
6. 3 x  2y  0
Write an equation for each line in slope-intercept form.
7.
8.
1.
y  x2
4.  x  y  5
5. 2x  3y  12
9.
The point- slope form of a line with slope m and containing the point
 x1, y1 
is y  y1  m  x  x1  .
Write the equation of the line containing each pair of the given points.
10.
1,0
 -4,2
and
11.
 5,3
and
 -3,5
12.
 -1,-3  and 4,4 
Write the equation of the line containing each pair of the given points and describe the slope.
13. (2, 7) and (-4, 7)
14. (-3, 8) and (-3, -2)
Write an equation in slope-intercept form for:
a) the line that contains the given point and is parallel to the given line
b) the line that contains the given point and is perpendicular to the given line.
15.
3,0  ; y
17.
 3,1 ; y
 2x  3
 - 4x  2
16.
0,0 
; y  x -5
18.
3,-1
; 3 x - 2y  -8
E. Solve the Equation (round your solutions to the nearest hundredth)
20. 2  x  7   34
2
19. x 2  11  24
Find the distance between the two given points.
21. (8, 6) and (9, 10)
22. (- 8, 7) and (2, -5)
Find the value of the variables and the measure of each angle in the diagram.
23.
24.
3(2x+6)  12y 
(14y-12)  (7x+3) 
(9y+5)  (11y-5) 
(13x+3)  2(7x-6) 
25.
26.
(6x+12) 
(2x+10) 
(5x-4) 
Congruent Triangles- Triangles are congruent if: SSS, SAS, AAS, ASA, HL
Determine which, if any of the following triangles are congruent. State your reason.
27.
28.
29.
31.
_________________________________________________________________________
32. In WHS , CT HS , C is the midpoint of WS , and T is the midpoint of WH . Solve for x if
CT  4 x  5 and HS  3 x  25 .
W
C
H
S
33.
B
A
T
57 
In the figure at the left, which of the following statements is true?
a) AB > CD
b) AB < CD
c) AB = CD
C
55 
D
34. In the diagram at the right, X is the centroid of RVT .
If WX = 12, determine the length of WT and TX.
R
W
V
S
X
U
T
N
35. In the diagram at the right, X is the circumcenter of LNQ .
(a) What is the measure of NMQ ?
(b) If LM = 17, LR = 2x, and NM = 5x-18, what is the
length of LQ?
M
P
X
L
Q
R
36. Which special triangle segment has as its point of concurrency the center of the inscribed circle?
_________________________________________________________________________________
Properties of Quadrilaterals
37. Points C (-3, 5), A (- 7, 6), T (-9, -2), and S (-5, -3) are the vertices of a quadrilateral.
Determine the most specific name for the quadrilateral and explain your answer.
_________________________________________________________________________________
38. (a) Solve for x and y.
127 
(b) What is the most specific
name for this quadrilateral?
3y + 7
(2x - 1) 
6y - 5
39. Complete the following chart by checking the box if the shape always has the given property.
Property
Both pairs of
opposite angles
are 
Both pairs of
opposite angles
are llllppap
Exactly one pair
of opposite
sides are 
Exactly one pair
of opposite
angles are 
Consecutive
angles are
supplementary
Exactly one pair
of opposite
sides are
parallel
Diagonals
bisect each
other
Diagonals are
perpendicular to
each other
Parallelogram
Rectangle
Rhombus
Square
Kite
Trapezoid
41. If the volume of a sphere is 288 , what is the radius and surface area of the sphere?
42. If the radius of a sphere is 12 cm and the length of the radius were halved, what would be the
relationship between: (a) the surface area of the original sphere and the surface area of the smaller
sphere? (b) the volume of the original sphere and the volume of the smaller sphere?
Circles and Spheres
43. Find the measure of the indicated arc or angle in
A
(a) mDAE
(b) mBAE
(c) mBAD
B
(d) mCDA
(e) mAEC
(f) mCE
P if mED  86 and mAC  114 .
P
(g) mEAB
C
E
D
Solve the following for x.
44.
156 
x
32
45.

46.
x
4
110 
3
9
x
98 