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 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
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
y = 3x + 4, this represents a ______________ relationship.
What is non-proportional ?
A polygon will be dilated on a coordinate grid to create 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
Paul rented a car for a trip to Harlingen to visit Alexis and Dominic. He pays $.50 per mile plus a flat fee of $20 to rent the car. This is the equation to represent the total cost of his car rental.
What is y=.50x+20 ?
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 7.6cm. A cylinder has a height of 10cm and a diameter of 4cm. Which shape has the bigger volume and by how much?
What is the cone has a larger volume by 115.09
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
y = 1/3x. This represents a _________ relationship.
What is proportional?
What is a dilation?
a transformation that makes a shape bigger or smaller.
What is the rule for 90 degrees counterclockwise and 270 degrees clockwise?
(x,y) --> (-y,x)
What is the formula we use for volume of a cone?
What is 1/3 pi r2h
What is the formula for total surface area of the triangular prism?
What is Ph + 2B?
These are the rules that determine if a graph is proportional.
What is 1. Goes through the origin and 2. Linear ?
Triangle ABC is being dilated. Are the two triangles still congruent?
no