Understanding Proportions and Similar Figures

What does it mean when two figures are similar?

• They are both polygons.

• They have the same color.

• Their corresponding angles are equal, and side lengths are proportional.

• They have the same size.

How do you find a missing side length in similar triangles?

• By adding the lengths of known sides.

• Using the Pythagorean theorem.

• Setting up and solving a proportion.

• Multiplying the lengths of the known sides.

What is the result of 14 times X equals 18 times 8?

• X equals 12.5

• X equals 11.4

• X equals 10.3

• X equals 9.2

How do similar figures relate to each other?

• They have the same area.

• They are congruent.

• Their corresponding sides are proportional.

• They have the same perimeter.

What is essential to solve problems involving similar figures?

• Knowing their colors.

• Knowing they are similar.

• Knowing their areas.

• Knowing their perimeters.

What does the similarity statement ABC is similar to DEF indicate?

• ABC and DEF are both right triangles.

• ABC and DEF have the same angles and proportional sides.

• ABC and DEF are congruent.

• ABC and DEF have the same area.

Why is it important to keep the order of ratios the same?

• To ensure the equation is balanced.

• To use less paper.

• To make the calculation easier.

• To avoid mixing up non-corresponding sides.

What happens if you change the order of ratios when solving proportions?

• It can lead to an incorrect answer.

• You get a bonus point.

• The answer becomes more accurate.

• It does not affect the result.

What does solving proportions using cross-products help with?

• Finding the value of X in equations.

• Making the math more complex.

• Increasing the accuracy of the solution.

• Reducing the number of steps in calculation.

Why is it incorrect to mix up the order of sides when setting up proportions?

• It violates mathematical laws.

• It simplifies the calculation.

• It leads to solving the wrong problem.

• It results in non-corresponding sides being compared.