Proportions and Similar Figures

The video tutorial explains the concept of similar figures, focusing on the relationship between their corresponding sides. It covers how to identify corresponding sides and set up proportions to find missing side lengths. The tutorial includes example problems to demonstrate the process and emphasizes the importance of maintaining consistency when setting up proportions.

What is the relationship between the sides of similar figures?

• They are parallel.

• They are equal in length.

• They are proportional.

• They are perpendicular.

What does the scale factor represent in similar figures?

• The difference in area.

• The ratio of corresponding side lengths.

• The sum of all angles.

• The perimeter of the figures.

How do you identify corresponding sides in similar triangles?

• By matching angles.

• By matching side lengths.

• By matching colors.

• By matching shapes.

Which side in triangle ABC corresponds to side DE in triangle DEF?

• Side DF

• Side BC

• Side AB

• Side AC

What is the first step in setting up a proportion for similar figures?

• Finding the area.

• Identifying corresponding sides.

• Calculating the perimeter.

• Measuring angles.

If side AB is 4 and side DE is 6, what is the proportion of AB to DE?

• 6:4

• 4:6

• 2:3

• 3:2

How do you solve for a missing side using proportions?

• By adding the sides.

• By cross-multiplying.

• By subtracting the sides.

• By dividing the sides.

In a proportion, if 4/6 = x/9, what is the value of x?

• 3

• 4

• 9

• 6

What must be true for a proportion to be correct?

• The figures must be identical.

• The denominators must be equal.

• The ratios must be consistent.

• The numerators must be equal.

Which of the following proportions is set up correctly?

• AB/CD = EF/GH

• AB/EF = GH/CD

• AB/EF = CD/EF

• AB/EF = CD/GH