Triangle congruence Proofs

Front

What is the Definition of Congruence?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Front

What is the Definition of Equality?

Back

Equality refers to the relationship between two quantities that are the same in value.

Front

What is the Definition of Midpoint?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if all their corresponding sides and angles are equal.

Front

What is the Reflexive Property?

Back

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

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that opposite angles formed by two intersecting lines are equal.

Front

What is the significance of the statement ∆BAC≅∆DAC in a proof?

Back

It indicates that triangle BAC is congruent to triangle DAC, which is a key step in proving triangle congruence.

Front

What is the purpose of a proof in geometry?

Back

A proof provides a logical argument that demonstrates the truth of a geometric statement or theorem.

Front

What does it mean to state 'Given' in a proof?

Back

'Given' refers to the information that is provided as a starting point for the proof.

Front

How do you identify corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the sides and angles that match in position and measure.