Exploring Ratios in Similar Polygons

What does it mean for two polygons to be similar?

• They have the same size and the same shape.

• They have different shapes and different sizes.

• They have the same shape but not necessarily the same size.

• They have the same size but different shapes.

Which symbol is used to denote similarity between two figures?

• ≡

• ≠

• ∼

• ≈

In similar figures, what is true about their corresponding angles?

• They are proportional.

• They are complementary.

• They are congruent.

• They are supplementary.

What does it mean for the corresponding sides of similar figures to be proportional?

• The sides are parallel.

• The sides are equal in length.

• The sides have the same ratio.

• The sides are perpendicular.

How do you identify corresponding sides in similar triangles?

• By matching the largest side of one triangle with the smallest side of the other.

• By matching the sides based on their angles.

• By matching the smallest side of one triangle with the smallest side of the other.

• By matching any side of one triangle with any side of the other.

What is a similarity ratio?

• The ratio of the areas of two similar figures.

• The ratio of the volumes of two similar figures.

• The ratio of the perimeters of two similar figures.

• The ratio of the lengths of corresponding sides of two similar figures.

How do you determine if two polygons are similar?

• All pairs of angles are congruent and all pairs of sides are proportional.

• All pairs of angles are proportional and all pairs of sides are congruent.

• All pairs of angles and sides are congruent.

• All pairs of angles and sides are proportional.

What is the similarity ratio if the sides of one triangle are 3, 4, and 5, and the sides of a similar triangle are 6, 8, and 10?

• 4/3

• 2

• 1/2

• 3/4

In the context of the video, what is the width of the actual boxcar if the model's width is 2 inches and the model's length is 7 inches, while the actual boxcar's length is 50 feet?

• 12.3 feet

• 13.3 feet

• 15.3 feet

• 14.3 feet

When setting up a proportion to solve for an unknown side in similar figures, what is important to remember?

• Keep a consistent figure in the numerator and the other in the denominator.

• Always put the smaller figure in the numerator.

• Always put the larger figure in the numerator.

• Mix and match figures in the numerator and denominator.