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Rigid Transformations
Volume
Surface Area
Proportional/Nonproportional
Dilations
100

Triangle ABC is translated 8 units up and 6 units left. What is the rule for this transformation?

(x,y) --> (x-6, y+8)

100

A fish shaped like a sphere is filled with water. The fishbowl has a diameter of 15 inches. What is the volume of water in the fishbowl?

1767.14 inches cubed

100

A can shaped as a cylinder has a height 5 inches and a diameter of 4 inches. If a company wanted to make a label for the can, how much surface area would they need to cover?

62.8 inches squared

100

A bottle contains 20 fluid ounces of orange juice and 18 fluid ounces of 

What is 100cm² ?

100

A polygon will be dilated on a coordinate grid to crate a smaller polygon. Which rule could best represent this dilation? 

a) (x,y) --> (0.5-x, 0.5-y)

b) (x,y) --> (x-7, y-7)

c) (x,y) --> (0.9x, 0.9y)

d) (x,y) --> (1.5x, 1.5y)

c) (x,y) -->  (0.9x,0.9y)

200

Triangle JKL is being transformed using the rule (x,y) --> (-x,y). What is the transformation?

Reflected across the y-axis

200

What is the volume of a cylinder when the height is 5 inches and the diameter is 8 inches? (use 3.14 for pi)

251.2 inches cubed

200

The side lengths of the base of a triangular prism are 3 meters, 4 meters, and 5 meters. The height of the prism is 18.5 meters. What is the lateral surface area of the prism in square meters?

222 meters squared

200

A coach is ordering shirts for a team. The coach pays a one time fee of $30 plus $7 for each shirt ordered. What is the equation that can be used to find the total the coach has to pay?

y=7x+30 or y=30+7x

200

Write a rule that shows an enlargement.

Answers varies. Multiply by any number greater than 1.

300

What is the rule for a rotation of 180 degrees?

(x,y) --> (-x,-y)

300

An ice cream cone has a diameter of 6 cm and a height of 9 cm. What is the volume of the ice cream cone? Round to the nearest tenth.

84.8 cm cubed

300

A cylinder has a radius of 5 meters and a height of 16 meters. What is the total surface area of the cylinder? Round to the nearest whole number. 

660 meters squared

300
A plastics company makes two sizes of recycling bins in the shape of rectangular prisms. The smaller bin has a volume of 500 cubic inches. The length, width, and height dimensions of the larger bin are twice those of the smaller bin. This is the volume of the larger recycling bin?
What is 4,000 in³ ?
300

Triangle STU is being dilated to form Triangle S'T'U'. If Point S is at (2,3) and point S' is at (8, 12). What is the scale factor?

The scale factor is 4.

400

Triangle PQR is being rotated 90 degrees clockwise to make Triangle P'Q'R'. If point P is at (-5, 6) what are the coordinates for P' ? 

(6,5)

400

A cone has a radius of 5.5cm and a height of 7.6cm. A cylinder has a height of 10cm and a diameter of 4cm. Which shape has the bigger volume and by how much?

What is 4n - 6 = 3n + 2

400

Carl wants to wrap a gift that is the shape of a rectangular prism. The length of the gift is 4.5 cm, the width is 8 cm, and the height is 6.5 cm. How much wrapping paper will Carl need to wrap the gift?

234.5 cm squared

400
If triangle ABC has a base of 20 ft and area of 400 square feet, and if triangle DEF is similar and has a base of 10 ft, this would be the area of triangle DEF?
What is 100 ft² ?
400

What is the rule for the image shown?

What is one out of sixteen

500

What is the rule for 90 degrees counterclockwise and 270 degrees clockwise? 

(x,y) --> (-y,x)

500
This is the 7th term of the following sequence? -4,-6,-8,.....-2n-2,...........
What is -16
500

What is the total surface area of the triangular prism shown in the picture? 

What is Quadrant III?

500
The floor of a room measures 12 feet by 10 feet. The room has 9-foot cailings. The walls of the room are to be painted. This is the area to be painted.
What is 396 ft² ?
500

Triangle ABC is being dilated. Name three things about the triangle that changes after a dilation?

Perimeter, Area, and Side lengths.