Name: _______________________________________________________________
Date: ______________________
Chapter 4: Transformations
Topic 11: 3D Figures and Rotations
3-Dimensional figures we should know:
1) Cube
2) Rectangular Prism
3) Triangular Prism
4) Pyramid
5) Cone
6) Cylinder
7) Sphere
Period: ______
Name: _______________________________________________________________
Date: ______________________
What will we be doing today?
Period: ______
We will be: 1) Identifying three dimensional figures
2) We will be rotating figures around a line to see what three dimensional figure is created.
Here are some examples:
Rotating a rectangle about a line
Rotating a circle about a line
Let’s try some:
1) Which of the following real life objects would most likely be modeled by a pyramid?
(1) picture frame
(3) tent
(2) pool
(4) house
2) Which two shapes could be used to model the round pencil in the picture to the right?
(1) rectangular prism and a pyramid
(2) cylinder and a pyramid
(3) rectangular prism and a cone
(4) cylinder and a cone
3) Which of the geometric solids could best model a set of dice?
(1) cones
(2) cubes
(3) prisms
(4) cylinders
4) Triangle ABC is shown in the diagram to the right. If m<A=90, what three dimensional
object will be generated if triangle ABC is rotated about
?
(1) another right triangle
(2) a cylinder
(3) a cone
(4) a pyramid
Name: _______________________________________________________________
Date: ______________________
5) If you rotated the shaded figure below about line m, which solid would
result from the revolution?
(1) cylinder
(2) cone
(3) cube
(4) sphere
6) What shape will be formed if the circle in the graph is rotated continuously
about the line l?
 
(1) a sphere
 
(2) a donut
(3) a cylinder
 
(4) a cone
7) If the rectangle below is continuously rotated about side w, which solid
figure is formed?
 
(1) pyramid
 
(2) rectangular prism
 
(3) a cylinder
 
(4) a cone
Period: ______
Name: _______________________________________________________________
Date: ______________________
Topic 11 Homework: 3D Figures and Rotations
Period: ______
1) Which figure would be rotated 360 degrees to create a cone with an altitude perpendicular to the base>
(1) an obtuse triangle
(3) a right triangle rotated about its leg
(2) a rectangle
(4) a hexagon
2) Which is the approximate angle of rotation for the transformation to the right?
(1)
(2)
(3)
(4)
3) If you rotated the triangular region of the figure below about line
revolution?
(1) cylinder
(2) cone
(3) cube
(4) sphere
, what solid would result from the
4) Which figure would be the best model for the human eye?
(1) cylinder
(2) circle
(3) sphere
(4) cone
5) Which object is formed when right triangle RST shown below is rotated
around leg ?
(1) a pyramid with a square base
(2) an isosceles triangle
(3) a right triangle
(4) a cone
6) Consider the following figure: What solid 3d object is produced by rotating the
rectangle about line ?
(1) a cylinder with a radius of 2
(2) a cylinder with a diameter of 2
(3) a cylinder with a height of 4
(4) a cylinder with a height of 2
7) Consider the following figure: What solid 3D object is produced by rotating the
semicircle about line ?
(1) a sphere with a diameter of 5
(2) a sphere with a radius of 5
(3) a semisphere with a radius of 5
(4) a semisphere with a diameter of 5