Corresponding Sides & Angles

Front

What is the definition of corresponding sides in triangles?

Back

Corresponding sides in triangles are sides that are in the same relative position in two similar triangles.

Front

What is the definition of corresponding angles in triangles?

Back

Corresponding angles in triangles are angles that are in the same relative position in two similar triangles.

Front

How can you identify corresponding sides in similar triangles?

Back

Corresponding sides can be identified by their position relative to the angles; for example, if two triangles are similar, the side opposite one angle in the first triangle corresponds to the side opposite the same angle in the second triangle.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar triangles?

Back

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

Front

If triangle ABC is similar to triangle DEF, what can be said about angle A and angle D?

Back

Angle A is equal to angle D.

Front

If triangle ABC is similar to triangle DEF, what can be said about side AB and side DE?

Back

The ratio of the lengths of side AB to side DE is equal to the ratio of the lengths of the other corresponding sides.

Front

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

Back

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

Front

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

Back

The Side-Angle-Side (SAS) similarity criterion 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, the triangles are similar.

Front

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

Back

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