Similar Figures and Scales

The video tutorial explains the concept of similar figures, emphasizing that their corresponding sides are proportional. It demonstrates how to determine if triangles are similar by comparing side ratios and solving for unknown sides using proportions. The tutorial also covers the concept of scale images, using examples like model cars and maps to illustrate how scale ratios work. It concludes with a practical application of scale ratios to calculate distances on a map, providing a step-by-step solution to find the actual distance between two locations.

What is the term used for the ratios of two similar shapes?

• Direct ratios

• Opposite ratios

• Inverse ratios

• Equivalent ratios

How can you determine the length of an unknown side in similar triangles?

• By guessing

• By measuring directly

• By using a calculator

• By using equivalent ratios

What is a scale image?

• An image that is larger than the original

• An image that is smaller than the original

• An image that is not proportional to the original

• An image that is proportional to the original

What does a map scale indicate?

• The size of the map

• The distance on the map compared to the actual distance

• The color of the map

• The type of map

If 2 inches on a map represents 80 miles, how many miles does 7 inches represent?

• 560 miles

• 320 miles

• 280 miles

• 160 miles