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 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 equal 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 equal 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 equal 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 equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal, allowing for various applications in proofs and real-world problems.

Front

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

Back

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

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size, with corresponding angles equal and sides in proportion.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.