(1) Describe the key concepts in transformation geometry. Use illustrations/drawings or examples to support your argument in each case.
(2) Think of any situation in your everyday life in which you can experience transformation geometry. Illustrate your answers.
Suggest a sequence of statements that logically prove that the angles opposite the
congruent sides of an isosceles triangle are equal in size. Explain each statement simply
and clearly. Use illustrations throughout to enhance your explanations.
1. A lampshade is in the form of a frustum of a cone of which the top and the bottom radius is thrice the top radius, and the height is 14cm.
The volume of the lampshade is 763cm³
Find:
a. The area of material required to cover the lampshade
b. Bottom Radius ?
3. The number of goldfish in a tank is 22, and the volume of the tank is 56 cubic feet. What is the density of the tank?
0.34 goldfish per cubic foot
0.39 goldfish per cubic foot
1.41 goldfish per cubic foot
2.55 goldfish per cubic foot
4. The population of Tinyville is 16.2 Tinys per acre. Exactly 405 Tinys live in Tinyville. How many acres is Tinyville? Only enter a numerical value in the answer blank. Numerical Answers Expected