Complete ALL of the following questions to receive extra credit points on your Unit 4 Test. Use the hints provided to help you.
Question 1
1.
Question 2
2.
Question 3
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Question 4
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Question 5
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Question 6
6.
If two inscribed angles open up to the same arc, what do you know about those two angles? (HINT)
Question 7
7.
Question 8
8.
If the measure of arc AB is 120°, what is the measure of angle C?
Question 9
9.
What do the angles in a triangle have to add up to? (HINT)
Question 10
10.
Question 11
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Question 12
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Question 13
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Question 14
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Question 15
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Question 16
16.
In the diagram, arc BC and arc BD each measure 130 degrees.
What is the measure of arc DC?
Question 17
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Question 18
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Question 19
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Question 20
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Question 21
21.
In shot put, athletes have to throw a heavy ball into a certain area. This area is made up of a sector of a circle with a central angle of 34.92° and a radius of 160 feet.
Find the area of of the shot put sector to the nearest square foot. (Enter a WHOLE NUMBER!)
Question 22
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Question 23
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Question 24
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Question 25
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Question 26
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Question 27
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Question 28
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Question 29
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Question 30
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Question 31
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Question 32
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Question 33
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Question 34
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Question 35
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Question 36
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Question 37
37.
Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches.
Thinking about your answer to the last question, how many pyramids would fill up the cube? (HINT)
Question 38
38.
Question 39
39.
REVIEW YOUR ANSWERS CAREFULLY!
YOU WILL NOT BE ABLE TO CHANGE THEM AFTER YOU SUBMIT!
What kind of angle is ∠BAC? (HINT)
central angle
inscribed angle
An inscribed angle... (Choose 2!) (HINT)
has a vertex at the center of the circle
has a vertex on the circle
is equal to the measure of the intercepted arc
is half of the measure of the intercepted arc
What is the m∠BAC?
13°
16°
39°
52°
Which arc does ∠TRS open up to? (HINT)
arc RT
arc TS
arc SQ
arc RQ
Which arc does ∠TQS open up to? (HINT)
arc RT
arc TS
arc SQ
arc RQ
Which statement must be true? (HINT)
∠Q ⩭ ∠S
∠Q ⩭ ∠R
TQ ⩭ SR
TQ ⟂ RS
What is the measure of ∠B?
18°
60°
78°
156°
A tangent line touches the circle how many times? (HINT)
1
2
3
A secant line touches the circle how many times? (HINT)
1
2
3
What kind of angle does the tangent line make with the radius at the point of tangency? (HINT)
acute
right
obtuse
A major arc is... (HINT)
less than 180 degrees
180 degrees
more than 180 degrees
360 degrees
Which of these statements is FALSE?
∠CBA is a right angle
Line ED is a secant line
Line AB is a tangent line
Arc EB is a major arc
In the diagram, arc BC and arc BD each measure 130 degrees.
Using the measure of arc CD from the previous question, what is the measure of angle CBD?
100°
130°
65°
50°
The Thompson family made a cheesecake with a radius of 4 inches. Mrs. Thompson cut a slice of cheesecake that has a central angle of 39°, as shown.
Which formula (from your formula sheet) would you use to find the area of the slice of cheesecake Mrs. Thompson cut?
Area of a circle
Area of a sector of a circle
Circumference
Arc Length
The Thompson family made a cheesecake with a radius of 4 inches. Mrs. Thompson cut a slice of cheesecake that has a central angle of 39°, as shown.
What is the filled-in formula for the area of the slice of cheesecake that Mrs. Thompson cut out?
In shot put, athletes have to throw a heavy ball into a certain area. This area is made up of a sector of a circle with a central angle of 34.92° and a radius of 160 feet.
What formula (from your formula sheet) would you use to find the area of the shot put sector?
Area of a Circle
Area of a Sector of a Circle
Circumference
Arc Length
Find the AREA of the shaded SECTOR. (Use your formula sheet!)
141.3 cubic meters
70.7 cubic meters
22.5 cubic meters
3.8 cubic meters
A crayon (shown below) can be a composite figure made from a cone and cylinder. Use the dimensions of the crayon in the diagram to find the volume.
What would be the correct process to find the volume of the composite figure? (HINT)
Find the volume of the cone. Find the volume of the cylinder. Add the two volumes together.
Find the volume of the cone. Find the volume of the cylinder. Subtract the volume of the cone from the volume of the cylinder.
Find just the volume of the cone.
Find just the volume of the cylinder.
A crayon (shown below) can be a composite figure made from a cone and cylinder. Use the dimensions of the crayon in the diagram to find the volume.
What is the best estimate of volume of the crayon? (HINT)
4540 cubic mm
4650 cubic mm
110 cubic mm
18590 cubic mm
A grain silo is shaped like a cylinder with a height of 24 feet and a diameter of 10 feet. A farmer wishes to determine how many cubic feet of grain could fit in the silo.
What formula (from your formula sheet) would calculate the number of cubic feet that the silo could hold?
Area of a circle
Volume of a sphere
Volume of a cylinder
Volume of a cone
A grain silo is shaped like a cylinder with a height of 24 feet and a diameter of 10 feet. A farmer wishes to determine how many cubic feet of grain could fit in the silo.
What is the maximum amount of cubic feet of grain that the silo could hold?
7539 cubic feet
2400 cubic feet
1884 cubic feet
600 cubic feet
Marcus has been working on a large rubber band ball. When Marcus first measured the ball it had a diameter of 5 inches. Over the course of one year Marcus continued to add more rubber bands to the ball. After one year Marcus measured the rubber band ball, and it had a diameter of 15 inches.
What is the volume of the ball that he started with?
Marcus has been working on a large rubber band ball. When Marcus first measured the ball it had a diameter of 5 inches. Over the course of one year, Marcus continued to add more rubber bands to the ball. After one year Marcus measured the rubber band ball, and it had a diameter of 15 inches.
What is the volume of the ball that he has AFTER adding to it for a year?
Marcus has been working on a large rubber band ball. When Marcus first measured the ball it had a diameter of 5 inches. Over the course of one year, Marcus continued to add more rubber bands to the ball. After one year Marcus measured the rubber band ball, and it had a diameter of 15 inches.
How much volume was added on to the rubber band ball? (HINT)
20.8π = 65.35 cubic inches
541.7π = 1701.8 cubic inches
562.5π = 1767.15 cubic inches
4333.3π = 13613.46 cubic inches
Find the volume of one paper cone if the diameter is 4inches and the height is 7 inches. Round your answer to the nearest cubic inch.
29 cubic inches
59 cubic inches
88 cubic inches
117 cubic inches
Determine which of the transformations applied toCircle Acould be used to prove Circle A is similar to Circle B. Select all that are TRUE. (Select 2!!!)
A translation of right 4, down 5, and then a dilation of 1.5 would map Circle A onto Circle B
A translation of right 4, down 5, and then a dilation of 2/3 would map Circle A onto Circle B
A translation of down 5, left 4, and then a dilation of 2/3 would map Circle A onto Circle B
A translation down 5, right 4, and then a dilation of 1.5 would map Circle A onto Circle B
In an inscribed quadrilateral, opposite angles are ________________________. (HINT)
complementary (add up to 90 degrees).
supplementary (add up to 180 degrees).
congruent.
equal.
Find the value of each variable. (HINT)
x = 75° and y = 78°
x = 78° and y = 65°
x = 102° and y = 115°
x = 71.5° and y = 71.5°
How do you find the volume of a square pyramid?
How do you find the volume of a cube?
What is the difference in these two formulas?
The volume of a cube is 3 times as much the volume of a square pyramid.
The volume of a cube is 1/3 as much the volume of a square pyramid.
The volume of a cube is 2 times as much the volume of a square pyramid.
The volume of a square pyramid is 3 times as much the volume of a cube.
Compare the three prisms shown above in terms of their height, base, volume, and area of the two–dimensional cross–section.
Select each TRUE statement.
The area of the two–dimensional cross–section (the shaded square) shown in each prism is the same.
The area of the base in each prism is different.
The volume of Prism 1 and Prism 2 are the same.
The volume of Prism 3 and Prism 1 are different.
Select all of the three–dimensional figures below that have a circular cross section.
