12.06.2022-G4.5 Triangle Proofs Practice

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.

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What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, where the hypotenuse and one leg of one triangle are congruent to the corresponding parts of another triangle.

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What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used in proofs to show that if two triangles are congruent, then all their corresponding parts are also congruent.

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When is CPCTC used in a proof?

Back

CPCTC is usually used as the last reason in a two-column proof to conclude that corresponding parts of two congruent triangles are congruent.

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What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is often used in proofs involving overlapping triangles.

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What is the significance of 'Not enough information' in triangle congruence questions?

Back

'Not enough information' indicates that the given data does not provide sufficient criteria to determine if the triangles are congruent.

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What is the difference between congruence and similarity in triangles?

Back

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

Front

What is a two-column proof?

Back

A two-column proof is a method of proving statements in geometry where one column lists statements and the other column lists corresponding reasons.