Exploring Similar and Congruent Figures

What is the defining characteristic of similar figures?

• Different shapes and sizes

• Same size and angles

• Same shape and angles

• Same size and shape

Which symbol is used to denote similarity between figures?

• Circle

• Arrow

• Squiggly line

• Equal sign

What is the main difference between similar and congruent figures?

• Congruent figures have the same size and shape, while similar figures have the same shape but different sizes.

• There is no difference between similar and congruent figures.

• Congruent figures have different shapes and sizes, while similar figures have the same size.

• Similar figures have the same size and shape, while congruent figures have different shapes.

Which symbol represents congruence between figures?

• Arrow

• Equal sign with a squiggly line

• Squiggly line

• Equal sign

Why is the order of vertices important in congruent figures?

• It is not important.

• It determines the size of the figure.

• It ensures the corresponding angles are matched correctly.

• It helps in identifying the shape.

What are corresponding angles?

• Angles that are in the same position in different figures.

• Angles that are different in size.

• Angles that are in different positions in the same figure.

• Angles that are not equal.

What makes two squares similar but not congruent?

• They have different angles.

• They have the same shape and angles but different sizes.

• They have the same size but different shapes.

• They have different shapes.

Why are figures D and E considered neither similar nor congruent?

• They have different shapes and sizes.

• They have the same size but different shapes.

• They have the same shape but different angles.

• They have the same shape but are not proportionally reduced in size.

What is the key factor in determining if two trapezoids are congruent?

• They must have different angles.

• They must be different shapes.

• They must have the same angles but different sizes.

• They must be the same size and shape.

What is the relationship between figures A and B?

• They are neither similar nor congruent.

• They have different shapes.

• They are similar.

• They are congruent.