Geometry Summer Review Assignment
Students,
This assignment serves as a review of the Algebra and Geometry skills necessary for success in Geometry. These skills
were taught in previous math courses. Our hope is that this review will keep your mind mathematically active during the summer,
identify weaknesses in Algebra and Geometry, if they exist, and prepare you for the fun and challenging year ahead.
We expect that you come to class knowing this material and ready to continue learning Geometry.
Answer all questions on a separate sheet of paper. SHOW ALL WORK!
Formulas that you may find handy:
Area of rectangle or parallelogram: Area = Base x Height
Area of a triangle: Area = ½ Base x Height
Area of a circle: Area =  (radius squared) = r2
Volume of rectangular prism: Volume = Length x Width x Height
Volume of cylinder: Volume = Area of the base x Height of cylinder = r2h
Distance: d = x2  x1 2   y2  y1 2
Slope: m =
 y2  y1 
x2  x1 
x x y y
Midpoint:  1 2 , 1 2 

2
2

THIS ASSIGNMENT WILL BE COLLECTED ON THE FIRST DAY OF SCHOOL.
I.
A. Line m is parallel to line n. Find the measure of each numbered angle.
6
m
4
5
37 
3
1
2
n
37
B. Solve for x.
x + 15
x + 25
x
II.
x + 20
Find the perimeter and area of each of the following.
A. Answer will be in terms of x
B. The Figure is a Rhombus.
18x cm
.
(8 + x) cm
C. The figure is an Isosceles Trapezoid.
3.3 mm
2.8 mm
D.
11.6 m
74 feet
7m
4m
32 feet
47 feet

13 m
III.
Find the indicated quantity. Leave answers in terms of .
A. Find the area and circumference of a circle with a radius of 5.2 cm.
B. Find the radius and area of a circle with a circumference of 6 feet.
C. The area of a circle is 25. Find the diameter and circumference.
IV.
Complete the following.
A. Find the slope of a line that contains the points A(-2, 3) and B(-6, -5).
B. Find the midpoint of a line segment with endpoints C(5, 0) and D(-3, 6).
C. Find the distance between the points E(3, 4) and F(1, -7).
V.
VI.
Find the surface area and volume of the following rectangular prisms
A.
B. Answer will be in terms of x.
4 in
15x
x
3 in
2 in
VII.
8x
Find the volume of the following cylinders.
A.
B.
10 ft
0.5 ft
7 in
4 in
VIII.
Simplify.
A. r (2r )  r 2
IX.
 3  1 
C.  t   
 5  3 
B. (3mz)(2mz)
Solve for x.
A.
x 12

5 25
E.
B.
6
4

x  3 2x  7
C. 2( x  1)  3  4
x
F.
G.
x
10
15
5
17
The area of the rectangle is
42 in2. Solve for x.
(x + 6)
( x – 5)
X.
Factor and solve.
A. x  x  72  0
2
B. x  64  0
2