Congruent and Similar Polygons

The video tutorial by Momshina covers the concept of congruent polygons, explaining that polygons are congruent if they have the same shape and size. It introduces the symbol for congruence and demonstrates how to check congruence by overlaying polygons. The video distinguishes between similar and congruent polygons and explains that congruence can also be determined by comparing corresponding sides and angles. Several examples are provided to illustrate congruent and non-congruent polygons, concluding with a summary of the key points discussed.

What is the key characteristic of congruent polygons?

• They have the same number of sides.

• They have the same perimeter.

• They have the same shape and size.

• They have the same color.

Which symbol is used to denote congruence?

• ≈

• ≠

• ≡

• ∼

How can you verify if two polygons are congruent by overlaying?

• If one polygon is larger than the other.

• If one polygon is smaller than the other.

• If one polygon fits exactly over the other.

• If one polygon is a different shape than the other.

What does it mean if two polygons have the same shape but different sizes?

• They are congruent.

• They are similar.

• They are identical.

• They are different.

Which of the following is true for similar polygons?

• They have the same size.

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

• They have the same perimeter.

• They have different shapes and sizes.

What must be true for two polygons to be congruent?

• They must have the same number of sides.

• They must be regular polygons.

• They must have the same color.

• Their corresponding sides and angles must be congruent.

Which of the following pairs of line segments are congruent?

• Line segment AB and line segment CD

• Line segment EF and line segment GH

• Line segment AB and line segment EF

• Line segment CD and line segment EF

What is the relationship between angles ABC and EFG in congruent polygons?

• They are different.

• They are complementary.

• They are congruent.

• They are supplementary.

If two polygons have identical corresponding sides and angles, what can be concluded?

• They are similar.

• They are congruent.

• They are different.

• They are identical.

What happens when you place polygon C over polygon Z and they fit exactly?

• They are different.

• They are identical.

• They are congruent.

• They are similar.