Understanding Similar Polygons and Proportions

What is the key characteristic of similar polygons that helps in finding missing side lengths?

• They are congruent.

• Their sides are proportional.

• They have the same area.

• They have equal angles.

In the first problem, if the smaller side is 15 and the larger side is 24, what is the missing side length X if the other side is 10?

• 20

• 14

• 16

• 18

For the second problem, if the smaller base is 12 and corresponds to 15, what is the missing side Y if it corresponds to 25?

• 22

• 24

• 18

• 20

In the third problem, if 10 corresponds to the missing side and 8 corresponds to 4, what is the missing side length?

• 4

• 3

• 5

• 6

In the fourth problem, if X corresponds to 5 and 12 corresponds to 6, what is the value of X?

• 9

• 10

• 11

• 8

For the fifth problem, if R corresponds to 10 and 6 corresponds to 12, what is the value of R?

• 4

• 5

• 7

• 6

In the sixth problem, if the longest side is 54 and the shortest side is X, what is X if it corresponds to 35 and the longer side is 63?

• 34

• 28

• 30

• 32