Triangle Congruence Proofs

Front

What is the definition of a midpoint?

Back

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

Front

What does the symbol ⊥ represent in geometry?

Back

The symbol ⊥ means 'perpendicular', indicating that two lines intersect at a right angle.

Front

If two angles are congruent, what does that imply about their measures?

Back

If ∠ABC ≅ ∠DEF, then m∠ABC = m∠DEF.

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 the Reflexive Property of Equality?

Back

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

Front

What does the term 'congruent' mean in geometry?

Back

Congruent means having the same size and shape.

Front

What is the definition of the Addition Postulate of Equality?

Back

The Addition Postulate states that if equal quantities are added to equal quantities, the sums are equal.

Front

What is the definition of the Definition of Congruent Angles?

Back

Two angles are congruent if they have the same measure.

Front

What is the significance of the Midpoint Theorem?

Back

The Midpoint Theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half as long.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect; they are always congruent.