SAS and SSS

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

How can you determine if two triangles are congruent using SAS?

Back

If two sides of one triangle are equal to two sides of another triangle and the angle between those sides is equal, then the triangles are congruent by SAS.

Front

How can you determine if two triangles are congruent using SSS?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent by SSS.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same shape and size, which means their corresponding sides and angles are equal, allowing for various applications in proofs and real-world problems.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

The corresponding sides and angles of triangle ABC and triangle DEF are equal.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal and corresponding sides are proportional.

Front

Can two triangles be congruent if only one angle and two non-included sides are known?

Back

No, this is not sufficient information to prove congruence; the Angle-Side-Angle (ASA) or Side-Angle-Side (SAS) criteria must be used.

Front

What is the difference between congruence and similarity in triangles?

Back

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

Front

If two triangles are not congruent, what can be concluded about their sides and angles?

Back

If two triangles are not congruent, at least one pair of corresponding sides or angles must be different.