Geometry Semester 2 Final Review (Extra Practice)

Given the following triangle, find MQ.
2x+13
P
M
6x-3
5x-2
Q
Then draw it's reflection over the line y = 2.
Find the coordinates of the new image.
‹0, -2›
‹0, -2›
What units would be used for the volume of a cylinder with a height of 7 miles, and a base radius of 5 miles?
While fishing in a particular lake, you have a 1 in 12 chance of chatting a trout, a 1 in 3 chance of
catching a perch, and a 2 in 5 chance to catch as Bass. What is the probability of catching either a
trout or a bass?
And then find the direction
of the vector.
Find the direction of the vector ‹7, 3›.
Given a circle with a radius of 6 inches, determine the length of an arc that is intercepted by a central
angle with a measure of 70°. Draw and label a picture. Leave your answer in exact terms.
A menu at a restaurant offers 8 different appetizers. How many different combinations or four
appetizers could a group order?
Given a bag with 5 pink marbles, 2 yellow marbles, 1 orange marble, and 2 black marbles. What is the
probability of picking a yellow, and then an orange? Solve this problem with and without replacement.
Solve the following right triangles. Find all missing side and angle measures.
Round answers to the nearest hundredth.
a)
b)
R
A
15
18
25°
B
14
C
V
T
81. Given a standard deck of cards (no jokers) find the probability of drawing either a Heart or a King.
82. You are redecorating your bedroom. You can choose from 5 paint colors, 3 curtains, and 4 rugs.
How many different designs are possible?
83. Determine whether the pairs of triangles are congruent.
If they are, specify which postulate/theorem applies (SSS, SAS, ASA, AAS, or HL).
84. Determine whether the pairs of triangles are similar, and if so, by which similarity postulate/theorem.
(AA, SSS, SAS). Then write a similarity statement for each pair of similar triangles.
Y / N Post/Thm: ___________
Similarity Statement: ________________
Y / N Post/Thm: ___________
Similarity Statement: ________________
Y / N Post/Thm: ___________
Similarity Statement: ________________
85. Solve for the variables in the triangles below:
45°
15
b=
y=
12
60°
a=
x=