Flashcard 18: SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', a theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

How do you find a missing angle in a triangle?

Back

To find a missing angle in a triangle, use the fact that the sum of all angles in a triangle is 180°. Subtract the sum of the known angles from 180°.

Front

What is the significance of a right angle in triangle congruence?

Back

A right angle (90°) is significant because it can help establish congruence using the SAS theorem, as it provides a known angle to compare.

Front

What is the relationship between corresponding sides in SSS congruence?

Back

In SSS congruence, all three pairs of corresponding sides must be equal in length for the triangles to be considered congruent.

Front

What is the relationship between corresponding angles in SAS congruence?

Back

In SAS congruence, the two pairs of corresponding sides must be equal, and the included angle between those sides must also be equal.

Front

What is the purpose of congruence statements?

Back

Congruence statements are used to indicate that two triangles are congruent and to specify which parts of the triangles correspond to each other.

Front

If two triangles have two equal sides and the included angle is equal, what can be concluded?

Back

If two triangles have two equal sides and the included angle is equal, the triangles are congruent by the SAS theorem.

Front

What is the difference between SSS and SAS congruence?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that they do not have the same size and shape, and their corresponding sides and angles are not equal.