Homework Corresponding Sides and 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 different 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 different triangles.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which means all corresponding sides and angles are equal.

Front

What is a congruency statement?

Back

A congruency statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form of triangle congruence, such as ΔABC ≅ ΔDEF.

Front

What is the significance of the symbol '≅' in geometry?

Back

The symbol '≅' indicates that two figures are congruent, meaning they have the same shape and size.

Front

How can you determine if two triangles are congruent using side lengths?

Back

You can determine if two triangles are congruent using the Side-Side-Side (SSS) postulate, which states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

The Angle-Side-Angle (ASA) congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

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

Back

The Side-Angle-Side (SAS) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the purpose of identifying corresponding parts in triangles?

Back

Identifying corresponding parts in triangles helps in proving congruence and solving problems related to triangle properties.

Front

What is the relationship between corresponding angles and sides in similar triangles?

Back

In similar triangles, corresponding angles are equal, and corresponding sides are in proportion.