Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC,...

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Transcript of Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC,...

Page 1: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

Final Exam Review #1

1. Fjkjfkdjf

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3. 4.

Page 2: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

4.

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Page 3: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

Final Exam Review #2

1. Fjkjfkdjf

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Page 4: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

3.

4.

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Page 5: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

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Final Exam Review #3

1.

2.

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Page 6: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

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5. Match the pictures with the appropriate points of concurrency.

Circumcenter Incenter Centroid Orthocenter

a. b. c. d.

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Page 7: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

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Page 8: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

Name:____________________________________________________________

Geometry Honors: Review #4

1.

2.

3.

Page 9: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

4. In regular Hexagon ABCDE, lines DE and AF are extended to point G to form a triangle. Find the m G.

5. Find x and y:

6.

6.

Page 10: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in,

find DB and AD.

8) Write an equation of a line that passes through the point B(3,1) and is perpendicular to the line

3y + 2x = 15.

Page 11: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

9.

10.

Page 12: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

11. Given: BAT DOT

OT = 15, BT = 12, TD = 9

Find the length of AO.

12.

Page 13: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

PROOFS

I. Logic Proof

Page 14: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

II. Circles Proof

Page 15: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

III. Missing Diagram Proof

Page 16: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

IV: Locus and Coordinate Geometry

Page 17: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

Name:____________________________________________________________

Geometry Honors: Review #5

1. An air conditioner is being purchased for the room in the picture below. The room has an open ceiling

that follows the roof trusses. According to the US Department of Energy, to determine the cooling

requirement of a room, use 3.5 BTUs per cubic foot of air space. To this value, add an additional 1000 for

each window in the room. This room has 6 windows.

Determine the number of BTUs needed to cool this room.

2. As of 2015, the least densely populated state in the US was Alaska. In 2015, the population

of Alaska was roughly about 550,000 due to its vast expanse. If the land area of Alaska is about

570,000 square miles, find the population density to the nearest hundredth of a person per

square miles.

Page 18: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

3. Cylinder A has a volume of 2,700 cubic units and a radius of 3 units. Cylinder B is similar to

Cylinder A and has a volume of 6,400 cubic units. Find the radius of Cylinder B.

4.

Page 19: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

Trigonometry

5. Part One: Trig Ratios

Page 20: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

6. Part Two: Using Trig to find Missing Sides/Angles

Page 21: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

Part Three: Co-functions

7.

8.

Part IV: Using Trigonometry to Find Area of a Triangle

9.

10. Law of Cosines

Page 22: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

11. Law of Sines

Page 23: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

12. Applications of Law of Sines/Cosines

Page 24: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

Answers to Final Exam Review #1

Page 25: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 26: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 27: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 28: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 29: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 30: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find

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Page 31: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 32: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 33: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 34: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 35: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 36: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 37: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 38: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 39: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 40: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 41: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 42: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 43: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 44: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 45: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find
Page 46: Final Exam Review #1 Fjkjfkdjf - White Plains Middle School€¦ · 7) In right triangle ABC, altitude CD is drawn to hypotenuse AB. If CD = 12 in and AD exceeds DB by 7 in, find