Similar or Congruent?

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

How can you determine if two figures are not congruent?

Back

Two figures are not congruent if at least one pair of corresponding sides or angles is different.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, all corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar figures?

Back

In similar figures, the ratios of the lengths of corresponding sides are equal.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if the corresponding angles are also equal, the triangles are similar.

Front

What is an example of congruent figures?

Back

Two squares with side lengths of 4 cm are congruent because they have the same shape and size.

Front

What is an example of similar figures?

Back

A triangle with sides 3 cm, 4 cm, and 5 cm is similar to another triangle with sides 6 cm, 8 cm, and 10 cm.

Front

What is the criteria for triangle similarity?

Back

Triangles are similar if they satisfy one of the following: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity criteria.

Front

Can two figures be similar but not congruent?

Back

Yes, two figures can be similar if they have the same shape but different sizes.