Exploring Similar Figures and Proportions

What is a proportion?

• A multiplication of two numbers

• A division of two numbers

• A type of fraction

• A statement that two ratios are equal

Which of the following is an example of a ratio?

• 5 to 4

• 5 + 4

• 5 - 4

• 5 * 4

For something to be proportional, it must:

• Change randomly

• Remain constant

• Change at a variable rate

• Change at a constant rate

If a t-shirt costs $10 each, which equation represents the total cost (y) for x t-shirts?

• y = 10 - x

• y = 10 + x

• y = x + 10

• y = 10x

How can you test if two figures are similar?

• By comparing their perimeters

• By comparing the ratios of their corresponding sides

• By measuring their angles

• By comparing their areas

What is the ratio of sides if one side of a figure is 10 and the corresponding side of a similar figure is 5?

• 0.5

• 10

• 2

• 5

If 33 corresponds to 11 in a smaller figure, what is the ratio of these sides?

• 4

• 3

• 1

• 2

In a proportion, if 33x = 429, what is the value of x?

• 14

• 13

• 15

• 16

If a side of a big shape is 35 and the corresponding side of a small shape is 14, what is the ratio of these sides?

• 2.5

• 3

• 2

• 1.5

If 10 in a big triangle matches up with 6 in a small triangle, what is the ratio of these sides?

• 2/3

• 3/2

• 5/3

• 3/5