Unit 4 Flashcard Review

Front

What is the SSA triangle congruence criterion?

Back

SSA (Side-Side-Angle) is NOT a valid triangle congruence criterion because it does not guarantee that two triangles are congruent.

Front

What does the Reflexive Property state?

Back

The Reflexive Property states that any quantity is equal to itself, e.g., AD = AD.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (vertical) angles are equal.

Front

If ∆SOK ≅ ∆LMT, what can we conclude about the angles?

Back

If ∆SOK ≅ ∆LMT, then ∠K ≅ ∠T, ∠O ≅ ∠L, and ∠S ≅ ∠M.

Front

What is the AAS triangle congruence criterion?

Back

AAS (Angle-Angle-Side) states that 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, the triangles are congruent.

Front

What is the SAS triangle congruence criterion?

Back

SAS (Side-Angle-Side) states 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

What is the ASA triangle congruence criterion?

Back

ASA (Angle-Side-Angle) states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, the triangles are 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

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that establishes the truth of a geometric statement or theorem.

Front

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

Back

Corresponding parts refer to the sides and angles of triangles that are in the same relative position in each triangle.