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 in3
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 inches2
How do you find k for a proportional line?
k= y divided by x
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 in3
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 meters2
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 cm3
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 meters2
What is the equations of the line?
y= -2.5x-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 7.6cm. A cylinder has a height of 10cm and a diameter of 4cm. Which shape has the bigger volume and by how much? (Round answers to the nearest hundredth)
The cone by 115.09cm3
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 cm2
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)
A tube in the shape of a cylinder has a diameter of 4 inches and a volume of 120pi cubic inches. What is the height of the tube in inches?
30 inches
What is the total surface area of the triangular prism shown in the picture?
240 cm2
Find the equation in the form of y=mx+b for the line that represents this table.
y= 10x + 10
Triangle ABC is being dilated by a scale factor of 9. What will happen to Triangle ABC's perimeter and area?
The perimeter will be 9 times bigger and the area will be 81 times bigger.