Understanding Ratios and Proportions

This video tutorial covers the concepts of ratios and proportions, explaining how to simplify ratios and solve proportions using various methods such as cross products and common multipliers. It also introduces extended ratios and their applications in geometry, particularly in solving problems related to angles and sides of triangles. The tutorial provides examples and exercises to reinforce understanding.

What is the simplest form of the ratio 10 to 15?

• 2 to 3

• 1 to 2

• 5 to 6

• 3 to 4

How is an extended ratio different from a regular ratio?

• It compares two quantities.

• It uses multiplication instead of division.

• It compares three or more quantities.

• It is always expressed as a fraction.

Which method is NOT used to solve proportions?

• Cross products

• Common multipliers

• Simplifying fractions

• Adding fractions

What is the result of solving the proportion x/3 = 10/12 using cross products?

• 4.5

• 3.5

• 5.5

• 2.5

What is the common multiplier to convert 3 to 12 in a proportion?

• 2

• 3

• 4

• 5

When solving proportions with binomials, what is important to remember?

• Add the terms directly.

• Only multiply the first term.

• Use parentheses to distribute correctly.

• Ignore the binomial terms.

In a triangle with angle ratios of 3:4:5, what is the measure of the smallest angle?

• 75 degrees

• 30 degrees

• 45 degrees

• 60 degrees

If the sides of a triangle are in the ratio 2:3:4 and the perimeter is 144, what is the length of the longest side?

• 64

• 48

• 32

• 72

What is the perimeter of a triangle with side ratios 4:5:5 and x = 15.5?

• 155

• 372

• 310

• 217

How do you find the measure of each angle in a triangle with angle ratios 5:12:13?

• Set the sum equal to 180

• Set the sum equal to 540

• Set the sum equal to 90

• Set the sum equal to 360