SSS and SAS Triangle Congruence.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating 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 importance of order in triangle congruence?

Back

The order of the vertices matters in triangle congruence; corresponding vertices must match in the same order.

Front

If two triangles have three equal sides, what can we conclude?

Back

The two triangles are congruent by the SSS theorem.

Front

If two triangles have two sides equal and the included angle equal, what can we conclude?

Back

The two triangles are congruent by the SAS theorem.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (vertical) angles are equal.

Front

Can two triangles be congruent if only one angle is known?

Back

No, you need more information, such as sides or additional angles, to prove congruence.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

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

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of another triangle.