Triangle Congruency: SSS

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, if segment AB is a part of triangle ABC, then AB ≅ AB.

Front

What does SSS stand for in triangle congruency?

Back

SSS stands for Side-Side-Side, which is a postulate that states if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the Transitive Property?

Back

The Transitive Property states that if one quantity is equal to a second quantity, and the second quantity is equal to a third quantity, then the first quantity is equal to the third. In terms of congruence, if triangle A is congruent to triangle B, and triangle B is congruent to triangle C, then triangle A is congruent to triangle C.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

If BC ≅ DC and AC ≅ EC, what can be concluded about triangles ABC and DEC?

Back

If BC ≅ DC and AC ≅ EC, then by the SSS postulate, triangles ABC and DEC are congruent.

Front

What is the importance of the SSS postulate in triangle congruency?

Back

The SSS postulate is important because it provides a method to prove that two triangles are congruent based solely on the lengths of their sides.

Front

Can two triangles be congruent if only two sides are known to be equal?

Back

No, two triangles cannot be proven congruent with only two sides known to be equal; additional information about angles or the third side is needed.

Front

What is an example of a situation where the SSS postulate applies?

Back

If triangle XYZ has sides of lengths 5 cm, 7 cm, and 9 cm, and triangle ABC also has sides of lengths 5 cm, 7 cm, and 9 cm, then by the SSS postulate, triangle XYZ is congruent to triangle ABC.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are the same size and shape, while similarity means that triangles have the same shape but may differ in size.

Front

What is the role of corresponding parts in triangle congruency?

Back

Corresponding parts of congruent triangles are equal; this includes corresponding sides and angles.