2D to 3D
Scaling Volume/Area
Transformations
Trigonometry
Black History Month
100
Name a solid that can have the same cross section as a sphere. 

Cylinder, Cone, or Hemisphere.

100

A piece of paper that measures 8.5in x 11in is dilated by a scale factor of 3. What is the area of the image of this paper? 

841.5 inches squared 


(8.5 x 11) x 3^2 

100

In the dilation below the measure of <A is 38 degrees. What is the measure of <D? 

38 degrees! 

100

What is the sine of angle 1? (Your answer will be a fraction with LETTERS) 



a / c 

100

Who was the first black First Lady of the United States?

Michelle Obama

200

A right hexagonal prism is sliced parallel to its base. What shape is the cross section? 

A hexagon! (Slicing parallel to the base gives you the same shape as the base!) 

200

A basketball team wants to make a dilation of a basketball for their mascot's head. If a basketball typically has a volume of 434 cubic inches, and the company uses a scale factor of 2.5, what is the volume of the mascots head in cubic inches? Round to the nearest cubic inch. 

6,781

200

Describe this transformation with appropriate details. 


Dilate ABC from point O with a scale factor of 1/3 

200

Find c. Round to the nearest hundreth. 


c = 6.71

200

Who was the first black Major League Baseball player to break the color barrier?

Jackie Robinson

300

Draw the 3D solid that is created by rotating triangle ABC around AC. Include measurements in your drawing. 



A Cone with a height of 6cm, and a diameter of 10cm.

300

A rhombus with an area of 6 is dilated to form a rectangle with side lengths of 384. What is the scale factor of this dilation?

k=8 

300

Describe the sequence that will bring ABC to A'B'C' and then to A"B"C". Use appropriate details! 


a reflection over the x axis followed by a translation along vector A'A"

300

Find the measure of x. Round to the nearest tenth. 

x= 48.6 degrees

300

Who was known as the "Queen of Soul" and is best known for her song "Respect".

Aretha Franklin 

400

Name a shape whose horizontal cross sections are NOT congruent. Explain why. 

A cone or a pyramid, since these shapes get narrower as you get closer to the apex.

400

The inside of a car can hold 191,664 cubic inches. A toy company makes a model of the car, and the toy can hold 144 cubic inches. What is the scale factor of this dilation. Round to the nearest hundreth. 

.03

400

Name a transformation (in full detail) that would produce an image parallel to AB. 

A translation of AB in any direction and distance. A Rotation of AB 180 degrees around any point not on the line. 

400

sin (51.5) = cos (x). What is the measure of x that would make this equation true? 

38.5 degrees

400

Which black woman's mathematical calculations were crucial to NASA's space missions? She is featured in the movie "Hidden Figures" 

Katherine Johnson

500

A right circular cylinder has a diameter of 8 inches and a height of 12 inches. Draw a 2D shape that could be rotated around an axis to create this cylinder. Include measurements AND indicate where the axis of rotation would be. 

A rectangle with a height of 12 in and a width of 4 in that is rotated around one of its 12in sides. 

500

A box with a volume of 32 cubic inches, is dilated to 2,048 cubic inches.  What is the scale factor of this dilation. 

k=4 

500

Describe this sequence of transformations with appropriate details.

A translation of A to A'. Then reflect over A'D'.

500

From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35º. Find the height of the tree to the nearest foot.

33 ft. 

500

Who is the first black female artist to win a Grammy for best Country Album. 

Beyonce (It happened this past Sunday!) 

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