Similar Figures

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 their corresponding sides are proportional.

Front

True or False: All corresponding sides in similar figures are congruent.

Back

False. The corresponding sides in similar figures are proportional, not congruent.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but can differ in size.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are in proportion.

Front

How can you determine if two triangles are similar using angle measures?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA criterion).

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

Can two figures be similar if they are not the same size?

Back

Yes, two figures can be similar even if they are not the same size, as long as their corresponding angles are equal and their sides are proportional.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same size and shape.