Download For problems 1 and 2 find an equation of the line through the given

Geometry Extra Practice Chapter 9/11
Name:______________
Hour:________
For problems 1 and 2 find an equation of the line through the given point and
perpendicular to the given line
1) y = 2x – 2 and (-3, 5)
1.)_______________
2) 4x = 5y – 3 and (1, -1)
2.)_______________
For Problem 3 and 4 use the quadratic formula to solve each of the following equations
3) 2x2 – x – 14 = 0
3.)_______________
4) 4x2 – 9x + 4 = 0
4.)_______________
Using a flow chart or a two-column proof, prove the following
5) Given: AB || CD , B  D , AB  CD
Prove: ABF  CED
C
E
B
F
A
D
Geometry Extra Practice Chapter 9/11
Name:______________
Hour:________
For problem 6 draw a diagram and use trigonometric ratios to solve the following
problem.
6) Juanito is flying a kite at the park and realizes that all 500 feet of string are out.
Margie measures the angle of the string with the ground with her clinometer and finds it
to be 42.5˚. How high is Juanito’s kite above the ground?
6.)_______________
7) If rectangle A and rectangle B have a ratio of similarity of 5:4, what is the area of
rectangle B if the area of rectangle A is 24 square units?
7.)_______________
8) Rectangle A is similar to rectangle B. The area of rectangle A is 81 square units while
the area of rectangle B is 49 square units. What is the ratio of similarity between the two
rectangles?
8.)_______________
9) Rectangle A is similar to rectangle B. The area of rectangle A is 16 square units while
the area of rectangle B is 100 square units. If the perimeter of rectangle A is 12 units,
what is the perimeter of rectangle B?
9.)_______________
10) If prism A and prism B have a ratio of similarity of 6:11, what is the volume of prism
B if the volume of prism A is 96 cubic units?
10.)______________
Geometry Extra Practice Chapter 9/11
Name:______________
Hour:________
11) Prism A and prism B are similar. The volume of prism A is 72 cubic units while the
volume of prism B is 1125 cubic units. What is the ratio of similarity between these two
prisms?
11.)______________
12) The ratio of the perimeters of two similar parallelograms is 3:7. What is the ratio of
their areas?
12.)______________
13) Find the area of a regular hexagon with side length 10 ft.
13.)______________
14) Find the volume and surface area of the following figure
1.0 m
2.6 m
14.) V = __________
SA = _________
15) Find the volume and the surface area of the following figure
11 cm
11 cm
15.) V = __________
SA = _________
Geometry Extra Practice Chapter 9/11
Name:______________
Hour:________
16) Find the volume and the surface area of the following figure
8 in
12 in
in
10
16.) V = __________
SA = _________
17)
Find the probability of randomly
entering each room.
B
A
a) P(A)
b) P(B)
C
c) P(C)
18) Your friend and you have just won a
chance to collect a million dollars. You
place the money in one room at right and
you friend has to walk through the maze.
In which room should you place the money
so that your friend will have the best
chance of finding the million dollars?
A
B