Proportions in Similar Figures

The video tutorial explains how to use proportions to find missing side lengths in similar figures, focusing on triangles and rectangles. It emphasizes the importance of maintaining the order of ratios to ensure correct solutions. The tutorial provides step-by-step examples of solving proportion problems using cross-multiplication, highlighting common pitfalls and how to avoid them.

Why is it important to know that two figures are similar when solving for missing side lengths?

• Because it allows us to use trigonometric identities.

• Because it means the figures are congruent.

• Because it ensures that the ratios of corresponding sides are equal.

• Because it allows us to use the Pythagorean theorem.

In similar triangles, what must be true about the ratios of corresponding sides?

• They must be less than 1.

• They must be different.

• They must be equal.

• They must be greater than 1.

What is the first step in setting up a proportion to solve for a missing side length in similar triangles?

• Identify the corresponding sides.

• Multiply the side lengths.

• Add the side lengths.

• Subtract the side lengths.

When solving the proportion 14/8 = 18/X, what is the next step after setting up the proportion?

• Divide 14 by 8.

• Multiply 14 by X and 18 by 8.

• Subtract 18 from X.

• Add 14 and 8.

What is the value of X when solving the proportion 14/8 = 18/X?

• 12.5

• 10.3

• 8.7

• 9.4

Why is it important to maintain the order of ratios when setting up proportions?

• To ensure the ratios are greater than 1.

• To avoid mixing up non-corresponding sides.

• To ensure the ratios are less than 1.

• To make the calculations easier.

What happens if you change the order of ratios in a proportion?

• You mix up non-corresponding sides.

• You get the correct answer.

• You simplify the problem.

• You make the problem unsolvable.

In the problem involving similar rectangles, which sides correspond to each other?

• The shorter sides correspond to the longer sides.

• The widths correspond to the widths, and the lengths correspond to the lengths.

• The longer sides correspond to the shorter sides.

• The widths correspond to the lengths.

What is the proportion set up to solve for X in the similar rectangles problem?

• 11.5/2 = X/5

• 2/5 = 11.5/X

• 2/5 = X/11.5

• 5/2 = X/11.5

What is the value of X when solving the proportion 2/5 = X/11.5?

• 6.1

• 4.6

• 5.2

• 3.8