Similar or Congruent?

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. Their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they are identical in shape and size. This means all corresponding sides and angles are equal.

Front

If two triangles have corresponding angles that are equal, what can we conclude about them?

Back

The triangles are similar.

Front

If two figures are not congruent, can they still be similar?

Back

Yes, two figures can be similar without being congruent. They can have the same shape but different sizes.

Front

What is the relationship between the ratios of corresponding sides in similar figures?

Back

The ratios of corresponding sides in similar figures are equal.

Front

What is the relationship between the angles of congruent figures?

Back

All corresponding angles of congruent figures are equal.

Front

Can two rectangles be similar if one is larger than the other?

Back

Yes, as long as the corresponding angles are equal, the rectangles can be similar regardless of their size.

Front

What is an example of two congruent shapes?

Back

Two squares with the same side length are congruent.

Front

If two triangles have sides in the ratio of 3:4:5, what can we say about their similarity?

Back

If another triangle has sides in the same ratio of 3:4:5, then the triangles are similar.

Front

What is the significance of corresponding angles in determining similarity?

Back

Corresponding angles must be equal for two figures to be considered similar.