Triangle Congruence

Front

What is the HL Theorem in triangle congruence?

Back

The HL (Hypotenuse-Leg) Theorem states that if a right triangle has one pair of congruent hypotenuses and one pair of congruent legs, then the triangles are congruent.

Front

What does the Reflexive Property state?

Back

The Reflexive Property states that any geometric figure is congruent to itself, expressed as ∠A ≅ ∠A.

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg) for right triangles.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which means if all three sides of one triangle are congruent to the three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which means if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which means if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which means 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, the triangles are congruent.

Front

What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles have the same size and shape (all corresponding sides and angles are equal), while similar triangles have the same shape but not necessarily the same size (corresponding angles are equal, and corresponding sides are in proportion).

Front

Can two triangles be congruent if only one pair of sides is congruent?

Back

No, two triangles cannot be congruent with only one pair of sides congruent; at least two sides and the included angle or other congruence criteria must be satisfied.

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures, such as angles or triangles, are congruent, meaning they have the same size and shape.