Angle & Segment Proofs

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What does the Subtraction Property of Equality state?

Back

The Subtraction Property of Equality states that if two quantities are equal, subtracting the same amount from both sides will maintain the equality.

Front

What does the Transitive Property of Congruence state?

Back

The Transitive Property of Congruence states that if two figures are congruent to a third figure, then they are congruent to each other.

Front

What is the Vertical Angle Theorem?

Back

The Vertical Angle Theorem states that when two lines intersect, the opposite (vertical) angles are congruent.

Front

How do you denote congruence between two segments?

Back

Congruence between two segments is denoted using the symbol '≅', indicating that the segments are of equal length.

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that have the same shape and size, meaning they can be superimposed on each other.

Front

What is the purpose of using properties of equality in proofs?

Back

Properties of equality are used in proofs to justify the steps taken in solving equations or proving congruence.

Front

What is the significance of the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is fundamental in proofs.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.