Geo Ch 5 Test

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 SAS postulate?

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

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem that states if two angles and the included side of one triangle are congruent to two angles and the corresponding 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

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies to right triangles, stating that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the significance of congruence statements?

Back

Congruence statements indicate that two triangles are congruent and provide a way to compare their corresponding parts, such as angles and sides.

Front

What is the difference between AAS and ASA?

Back

AAS involves two angles and a non-included side, while ASA involves two angles and the included side between them.

Front

Can two triangles be congruent without knowing all three sides?

Back

Yes, triangles can be congruent if sufficient information is provided, such as two angles and a side (AAS or ASA) or two sides and the included angle (SAS).

Front

What does it mean if a triangle cannot be proven congruent?

Back

If a triangle cannot be proven congruent, it means there is insufficient information or the given information does not meet any of the congruence criteria (SAS, ASA, AAS, SSS, HL).

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to determine if two triangles are congruent based on their sides and angles, which is essential in solving geometric problems.