Exploring Proportions and Similar Figures

The video tutorial covers the concepts of congruent and similar figures, explaining their differences and how to identify them. It discusses corresponding parts and angles, and demonstrates how to use proportions to solve problems involving similar figures. The tutorial includes examples and exercises to reinforce understanding.

What symbol is used to denote congruent figures?

• ≅

• =

• ~

• ≈

Which of the following statements is true about similar figures?

• They are always equal in all aspects.

• They have the same size but not necessarily the same shape.

• They have the same shape but not necessarily the same size.

• They have the same shape and size.

How are corresponding angles in similar figures indicated?

• With the same number of lines.

• With the same color.

• With the same letter.

• With different symbols.

What is the corresponding part of angle C in a similar figure?

• Angle A

• Angle X

• Angle Z

• Angle Y

Which of the following is true about congruent figures?

• They are always different in size.

• They are exactly the same in shape and size.

• They are always similar.

• They are always proportional.

If two figures are similar, what can be said about their corresponding angles?

• They are equal in measure.

• They are proportional.

• They are different.

• They are always right angles.

What is the first step in setting up proportions to solve for missing sides in similar figures?

• Measure the angles.

• Identify the shapes.

• Label the figures as small and large.

• Find the area of the figures.

In a proportion, if 12 corresponds to 36, what does 7 correspond to?

• 35

• 28

• 21

• 14

What method can be used to solve proportions when unit rate or equivalent fractions are not applicable?

• Cross products

• Division

• Addition

• Subtraction

If the base of a small triangle is 12 and the base of a large triangle is 21, what is the length of the side corresponding to 16 on the small triangle?

• 28

• 36

• 24

• 32