SSS/SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a criterion for triangle congruence 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 criterion for triangle congruence 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

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

Back

To determine if two triangles are congruent using SSS, measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

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

Back

To determine if two triangles are congruent using SAS, measure two sides and the included angle of both triangles. If the two sides and the angle are equal in both triangles, they are congruent.

Front

What is the significance of the included angle in SAS?

Back

The included angle in SAS is the angle formed between the two sides being measured. It is crucial because SAS only applies when the angle is between the two sides.

Front

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

Back

No, two triangles cannot be determined as congruent with only two sides equal unless the included angle is also known (SAS). Otherwise, they may not be congruent.

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

If two triangles are congruent by SSS, what can be said about their angles?

Back

If two triangles are congruent by SSS, all corresponding angles are also equal.

Front

What does it mean if two triangles are 'Not Congruent'?

Back

If two triangles are 'Not Congruent', it means that at least one pair of corresponding sides or angles is not equal, indicating the triangles are different in shape or size.

Front

Provide an example of a situation where SAS can be used to prove triangle congruence.

Back

If triangle ABC has sides AB = 5 cm, AC = 7 cm, and angle A = 60 degrees, and triangle DEF has sides DE = 5 cm, DF = 7 cm, and angle D = 60 degrees, then triangles ABC and DEF are congruent by SAS.