Finding Missing Side Lengths in Similar Figures

The video tutorial explains how to find missing side lengths in similar figures by setting up proportions with equivalent ratios of corresponding sides. It covers examples involving rectangles, triangles, parallelograms, and trapezoids, demonstrating the use of cross multiplication to solve for unknowns. The tutorial emphasizes the importance of consistency in setting up ratios and simplifies calculations by reducing fractions.

What principle allows us to find missing side lengths in similar figures?

• Corresponding angles are equal

• Corresponding side lengths are proportional

• All sides are equal

• All angles are 90 degrees

How do you set up a proportion to find a missing side length in similar figures?

• Using the sum of side lengths

• Using the difference of side lengths

• Using equivalent ratios of corresponding sides

• Using the product of corresponding sides

Which method is used to solve for the missing side lengths in similar figures?

• Addition

• Division

• Subtraction

• Cross multiplication

In the rectangle example, what is the value of 'x' when the sides are 24 and 12, and the corresponding side is 18?

• 24

• 18

• 16

• 12

What is the simplified ratio used to solve for 'x' in the triangle example?

• 4 over 6

• 6 over 4

• 3 over 2

• 2 over 3

What is the value of 'x' in the triangle example when the sides are 9 and 6?

• 12

• 9

• 6

• 3

In the parallelogram example, what is the missing side length 'x' when the sides are 9 and 12, and the corresponding side is 18?

• 3

• 6

• 9

• 12

How is the proportion set up in the parallelogram example?

• New over original

• Difference of sides

• Original over new

• Sum of sides

What is the correct proportion setup to find the length of 'h k' in the trapezoid example?

• Original over new

• None of the above

• Sum of corresponding sides

• New over original

In the last triangle example, what is the value of 'x' when the sides are 8 and 6, and the corresponding side is 16?

• 4

• 6

• 3

• 2