Unit 4 Day 3 Congruent Triangles

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate 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 triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

Is AAA a valid rule for proving triangles congruent?

Back

No, AAA (Angle-Angle-Angle) does not prove triangles congruent because it only shows that the triangles are similar, not necessarily 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 have two pairs of equal angles, what can be concluded about them?

Back

If two triangles have two pairs of equal angles, they are similar, but not necessarily congruent unless the sides are also proportional.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle in the SAS postulate is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.

Front

Can two triangles be congruent if only one side and one angle are known?

Back

No, knowing only one side and one angle is not sufficient to prove congruence; at least two sides and the included angle or two angles and the included side are needed.

Front

What is the relationship between congruence and similarity in triangles?

Back

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