Exploring Similar Polygons

The video tutorial introduces similar polygons, explaining that corresponding angles are congruent and corresponding sides are proportional. It discusses the concept of scale factor, which is the ratio of corresponding sides, and provides examples to determine if polygons are similar by comparing side ratios. The tutorial also covers solving for variables using proportions derived from similar polygons.

What is true about the corresponding angles in similar polygons?

• They are complementary.

• They are supplementary.

• They are congruent.

• They are proportional.

How do you find the scale factor between two similar polygons?

• By adding the lengths of corresponding sides.

• By subtracting the lengths of corresponding sides.

• By dividing the lengths of corresponding sides.

• By multiplying the lengths of corresponding sides.

If side AB of triangle ABC is 15 and side DE of triangle DEF is 6, what is the scale factor?

• 3

• 2.5

• 2

• 5/2

Which of the following ratios correctly represents the scale factor if BC is 20 and EF is 8?

• 10/20

• 20/10

• 8/20

• 20/8

What should you do to determine if two polygons are similar?

• Compare the perimeters of the polygons.

• Compare the areas of the polygons.

• Compare the ratios of corresponding side lengths.

• Compare the angles of the polygons.

If the ratio of the sides of two polygons is 2/3 and 3/4, are the polygons similar?

• Yes, because the ratios are proportional.

• No, because the ratios are not equal.

• Yes, because the ratios are equal.

• No, because the ratios are not proportional.

Given two similar polygons with a scale factor of 2, if one side of the first polygon is 9, what is the corresponding side length in the second polygon?

• 18

• 9

• 6

• 4.5

If the longest side of a polygon is 18 and the shortest side is 9, what is the ratio of the longest to the shortest side?

• 1/2

• 2/1

• 2/3

• 3/2

How do you solve for a variable in similar polygons?

• By adding the corresponding sides.

• By setting up a proportion and using cross products.

• By using the Pythagorean theorem.

• By subtracting the corresponding sides.

If the ratio of two sides is 6/9 and the corresponding side in the second polygon is 7.5, what is the length of the side in the first polygon?

• 7.5

• 6

• 9

• 5