Triangle Congruence Proofs

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that a quantity is equal to itself, which is used in triangle congruence proofs to show that a side or angle is congruent to itself.

Front

What are Vertical Angles?

Back

Vertical Angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What does HD=DN signify in a triangle proof?

Back

HD=DN indicates that the segments HD and DN are congruent, which is often used to establish congruence in triangles.

Front

What does ∠BCA≅∠DCE represent in triangle congruence?

Back

∠BCA≅∠DCE indicates that angle BCA is congruent to angle DCE, which is a key step in proving triangle congruence.

Front

What does ∠QRP ≌ ∠TRS mean?

Back

∠QRP ≌ ∠TRS means that angle QRP is congruent to angle TRS, which is used to establish congruence in triangle proofs.

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, which can be proven using various congruence criteria.

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 is the significance of congruent angles in triangle proofs?

Back

Congruent angles are significant in triangle proofs as they help establish the relationships between triangles and are often used to prove triangle congruence.

Front

How do you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three corresponding sides of one triangle are equal to the three corresponding sides of another triangle.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.