Geom Proving Triangles 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 congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

Which postulate is not valid for proving triangle congruence?

Back

AAA (Angle-Angle-Angle) is not a valid postulate for proving triangle congruence because it does not guarantee that the triangles are the same size.

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What is the SSS postulate?

Back

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

Front

If ∆EHG≅∆KFC, what can be concluded about the sides?

Back

If ∆EHG≅∆KFC, then the corresponding sides are congruent, such as EH≅FK, HG≅KF, and EG≅KC.

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 difference between ASA and AAS?

Back

ASA (Angle-Side-Angle) requires two angles and the included side to be congruent, while AAS (Angle-Angle-Side) requires two angles and a non-included side to be congruent.

Front

Can two triangles be proven congruent with only two angles?

Back

No, two triangles cannot be proven congruent with only two angles; additional information about the sides is needed.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being compared, which is crucial for establishing congruence.

Front

What does the term 'corresponding parts' refer to in triangle congruence?

Back

Corresponding parts refer to the sides and angles of congruent triangles that match each other in position and measure.