Geometric
Mean
Pythagorean
Theorem
s
30-60-90
Trigonometric
Ratios
Sine
Cosine
Tangent
Special
Right
Triangles
45-45-90
Section (SOL)
Key Terms
Homework
7.1 Geometric Mean
Geometric Mean
Altitudes in Right Triangles (Similarity)
Pythagorean Theorem
Hypotenuse/Legs
Pythagorean Triple
30°, 60°, 90° properties
45°, 45°, 90° properties
Sine, Cosine, Tangent
SOHCAHTOA or
Oscar Has A Heap Of Apples
Angle of Elevation
Angle of Depression
Pg. pg. 345-346
#8-11, 24-29
Pg. 353-354
#4-6, 12-17, 22-25,
41-42
Pg. 360-361
#4-6, 12-17, 40
Pg. 367-369
#5-12, 20-24, 40-51
7.2 Pythagorean Theorem
7.3 Special Right Triangles
7.4 Trigonometry
7.5 Trig Angles
Pg. 373-375
#6-13, 20, 25
GRADE: _______________________
Timeliness: (_______/20)
Notes: (_______/30)
Homework: (_______/50)
Geometry ~ Mr. Yager
7.1 (4.5 points per question)
Name: __________________
1. Find the geometric mean between 7 and 13.
A. 2 5
B.
C. 20
D.
2. What is the geometric mean between
A.
1
2
C.
3
3. In the figure, X  ________.
A.
B.
C.
D.
1
3
4
2
4. Find the value of x.
A. 2 3
B. 2 2
C. 2 10
D. 12
5. Find the value of y.
A. 9
B. 2 6
C. 24
D. 2
1
4
91
51
and 12?
B.
12
D.
12
1
4
Geometry ~ Mr. Yager
7.2 (4.5 points per question)
Name: __________________
1. What are the measures of the sides of a right triangle?
A. 9, 11, 14
B. 4, 9, 10
C. 4.5, 5.5, 7.5
D. 7.5, 18, 19.5
2. Find the value of x.
A.
137
B. 44
C. 15
D.
105
3. Find x.
A.
274
B. 2 2
C. 176
D. 4 11
15
7
x
4. Find s.
A. 10
C. 2
B. 10
D. 5
s
20
Geometry ~ Mr. Yager
7.3 (4.5 points per question)
Name: __________________
1. Find the value of x.
A. 12
B. 6 3
C. 6 2
D. 3 2
2. Find the value of z.
A.
5 2
2
B. 5
z
5
C. 2 5
D. 5 2
45 
3. Find the value of y.
A. 4.5
9
y
B. 3 3
C. 18
D. 9 3
30 
4. Find the value of x.
A. 5 2
B. 10 6
C. 10 2
D. 10
5 6
x
60
BONUS… The length of a diagonal of a square is 20 centimeters. Find the length of a side
of a square. DRAW AND LABEL A PICTURE!!!
A. 10 cm
B. 10 3 cm
C. 10 2 cm
D. 20 2 cm
Geometry ~ Mr. Yager
7.4 (4.5 points per question)
Name: __________________
1. Find the value of sin 87° to the nearest thousandth.
A. 0.052
B. -0.822
C. 0.999
D. 19.08
2. If tan B = 1.6732, what is the measure of B to the nearest tenth of a degree?
A. 1.7°
B. 59.1°
C. 33.9°
D. 30.9°
3. Find the value of y to the nearest tenth.
A. 59.0
B. 53.1
C. 31.0
D. 36.9
6
y
10
4. Find the value of x to the nearest tenth.
A. 13.2
C. 47.2
B. 21.2
D. 15.6
25
x
32
5. Find the value of z to the nearest tenth.
A. 0.7
C. 41.2
B. 61
D. 29
7
z
8
6. Given XY = 12 and X = 40°, find YZ to the nearest tenth.
A. 10.1
C. 9.2
B. 18.7
D. 7.7
Geometry ~ Mr. Yager
7.5 (4.5 points per question)
Name: __________________
1. C is ______________.
A. an angle of elevation
C. an angle of depression
B. a right angle
D. none of the other choices
2. Find PQ to the nearest tenth.
A. 58.9
C. 44.9
B. 24.4
D. 21.9
For questions 3-6, use a separate sheet of paper to draw and label a picture to find the
correct answer.
3. Caving While surveying Overlook Cave, Mike measures the angle of elevation from his
line of sight to the top of a rock formation as 22°. The rock formation is 10 feet away and
he is measuring from a point 3 feet above the floor of the cave. To the nearest tenth of a
foot, how high is the rock formation?
A. 27.8 ft
B. 7.0 ft
C. 24.8 ft
D. 4.0 ft
4. Jessica is standing 20 feet away from a skyscraper in New York when she measures the
angle of elevation to the top of the building as 88.8°. To the nearest foot, how tall is the
building?
A. 955 feet
B. 20 feet
C. 477 feet
D. 48 feet
5. If Crystal is standing on a 15-foot diving board, and her friend Pablo is 48 feet from
the spot in the pool underneath the diving board, what is the angle of depression from
Crystal to Pablo, to the nearest tenth of a degree?
A. 17.4°
B. 3.8°
C. 1.2°
D. 72.6°
6. Katie measures the angle of elevation from the ground to the top of an 18-foot-tall
tree as 27°. To the nearest tenth of a foot, how far is she from the tree?
A. 20.2 ft
B. 39.6 ft
C. 35.3 ft
D. 9.2 ft