Rigid Transformations
Triangle ABC is translated 8 units up and 6 units left. What is the rule for this transformation?
(x,y) --> (x-6, y+8)
A fishbowl 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
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
Julie can decorate 3 cakes in 5 hours. What is the slope that best represents the number of cakes per hour Julie can decorate?
0.6 cakes per hour
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)
Triangle JKL is being transformed using the rule (x,y) --> (-x,y). What is the transformation?
Reflected across the y-axis
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
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
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
Write a rule that shows an enlargement.
Answers varies. Multiply by any number greater than 1.
What is the rule for a rotation of 180 degrees?
(x,y) --> (-x,-y)
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
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
What is the slope of the graph?
-2.5
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.
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)
A cone has a radius of 5.5cm and a height of 7.8cm. A cylinder has a height of 10cm and a diameter of 4cm. Which shape has the bigger volume and by how much?
(Use 3.14 for pi)
The cone by 121.361 cm squared
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
What is the equation of the line?
y=3x-6
What is the rule for the image shown?
(x,y) --> (1.4x,1.4y)
What is the rule for 90 degrees counterclockwise and 270 degrees clockwise?
(x,y) --> (-y,x)
The Volume of a cone is 15pi and the height is 5 inches. What is the radius of the cone?
r=3 inches
What is the total surface area of the triangular prism shown in the picture?
What is the equation that represents the table?
y=10x+10
Triangle ABC is being dilated. Name three things about the triangle that changes after a dilation?
Perimeter, Area, and Side lengths.