Congruency & Similarity

What is the definition of congruency in geometry?

• Referring to the angles of a shape.

• Having different sizes and shapes.

• Having the same size and shape.

• Being parallel to each other.

How many pairs of corresponding sides are congruent in similar figures?

• Only one pair of corresponding sides are congruent.

• None of the corresponding sides are congruent.

• At least three pairs of corresponding sides are congruent.

• All pairs of corresponding sides are congruent.

What is the symbol used to represent congruency?

• ==

• ≅

• ~

• =

In similar triangles, what is the relationship between corresponding angles?

• Equal

• Proportional

• Opposite

• Supplementary

What is the criteria for two triangles to be similar?

• Corresponding angles are congruent and corresponding sides are proportional.

• Opposite angles are congruent and opposite sides are proportional.

• Adjacent angles are congruent and adjacent sides are proportional.

• Equal area and equal perimeter.

What is the difference between congruency and similarity?

• Congruency is used for 2D shapes, while similarity is used for 3D shapes.

• Congruency and similarity are the same concept.

• Congruency involves only shape being equal, while similarity involves both shape and size being equal.

• Congruency involves both shape and size being equal, while similarity involves only shape being equal.

How can you prove two triangles are congruent?

• By measuring the area of each triangle

• By showing that all corresponding sides are equal in length and all corresponding angles are equal in measure.

• By comparing the colors of the triangles

• By counting the number of sides

Explain the concept of scale factor in similarity.

• The scale factor in similarity is the ratio of the lengths of corresponding sides of two similar figures.

• The scale factor is the sum of corresponding sides of similar figures.

• Scale factor is the area of the larger figure divided by the area of the smaller figure.

• Scale factor is the angle between corresponding sides of similar figures.