Exploring Similar Polygons

What is a key characteristic of similar polygons?

• They have the same side lengths.

• They have the same perimeter.

• They have congruent angles and proportional sides.

• They are always regular polygons.

In similar polygons, what must be true about their angles?

• All angles must be acute.

• All angles must be congruent.

• All angles must be right angles.

• All angles must be obtuse.

If a right triangle with sides 3, 4, and 5 is similar to another triangle, what could be the sides of the other triangle?

• 6, 8, and 10

• 5, 12, and 13

• 9, 12, and 15

• 7, 24, and 25

What does the SAS similarity criterion stand for?

• Side-Angle-Side-Angle

• Side-Side-Angle

• Side-Angle-Side

• Side-Side-Side

When dealing with polygons, what must be checked to confirm similarity?

• Only the angles

• Only the side lengths

• The number of sides

• Both angles and proportional side lengths

How do you find a missing side in similar polygons?

• By guessing

• By using the Pythagorean theorem

• By measuring the angles

• By setting up a proportion and solving

If one side of a pentagon is 10 and the corresponding side of a similar pentagon is 12, what is the proportion used to find a missing side X if another side is 8?

• 12/10 = X/8

• 8/10 = X/12

• 10/8 = 12/X

• 10/12 = 8/X

What is the value of X if 10/12 = 8/X?

• 10

• 12

• 9.6

• 8

If a side of a pentagon is 15 and the corresponding side of a similar pentagon is 10, what is the proportion used to find a missing side X if another side is 8?

• 10/15 = 8/X

• 15/10 = 8/X

• 8/10 = X/15

• 10/8 = 15/X

What must be true about the scaling factor in similar polygons?

• It can vary for different sides.

• It must be the same for all sides.

• It only applies to one side.

• It only applies to angles.