7-1 How to find Ratio and Proportion - GEOMETRY

The video tutorial covers the concepts of ratios and proportions, starting with an introduction to ratios and their representation. It then explores the application of ratios in geometry, particularly in understanding slopes. The tutorial explains proportions, highlighting their importance and how they compare different quantities. It provides methods to solve proportions using cross multiplication and demonstrates these techniques through examples. Finally, the video applies these concepts to solve word problems, illustrating the practical use of proportions in real-world scenarios.

What is a ratio primarily used for?

• To compare two numbers by addition

• To compare two numbers by subtraction

• To compare two numbers by division

• To compare two numbers by multiplication

In a triangle, if the angle measures are in the ratio 1:6:13, what is the measure of the smallest angle?

• 36 degrees

• 9 degrees

• 18 degrees

• 27 degrees

What is a proportion?

• A comparison of two different angles

• A comparison of two different shapes

• A comparison of two different units

• A comparison of two similar ratios

Which of the following is an example of a proportion?

• Mini-Me being one eighth the size of Dr. Evil

• A triangle with angles 30, 60, and 90 degrees

• A circle with a radius of 5 cm

• A square with sides of equal length

What is the first step in solving a proportion using cross multiplication?

• Subtract the two ratios

• Divide the two ratios

• Add the two ratios

• Multiply across the ratios

In the proportion 5/y = 45/63, what is the value of y?

• 5

• 8

• 7

• 6

If 2y/9 = 8/4y, what are the possible values of y?

• 4 and -4

• 1 and -1

• 2 and -2

• 3 and -3