congruence and similarity

Front

What is congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size. This can be shown through rigid transformations such as translation, rotation, and reflection.

Tags

CCSS.8.G.A.2

Front

What is similarity in geometry?

Back

Similarity in geometry means that two figures have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in different shapes when the shapes are positioned similarly.

Tags

CCSS.8.G.A.5

Front

What are corresponding sides?

Back

Corresponding sides are sides that are in the same relative position in two different shapes.

Tags

CCSS.8.G.A.2

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Angle-Angle (AA) similarity postulate?

Back

The Angle-Angle (AA) similarity postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The Side-Angle-Side (SAS) similarity theorem states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The Side-Side-Side (SSS) similarity theorem states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

If two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

Front

What is the relationship between the angles of similar triangles?

Back

In similar triangles, corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2