Geometry Definitions

Midpoint

A midpoint separates a line segment into 2 congruent line segments

Segment Bisector

A segment bisector cuts a segment into 2 congruent segments

Median

A median is drawn from a vertex to the midpoint of the opposite side

Angle Bisector

An angle bisector cuts an angle into 2 congruent angles

Vertical Angles

When 2 lines intersect vertical angles are formed

Altitude

An altitude is drawn from a vertex perpendicular to the opposite side

Perpendicular Lines

Perpendicular lines form right angles

Reflexive Property Postulate

Any segment or angle is congruent to itself

Symmetric Property Postulate

Any equality may be reversed

Transitive Property Postulate

If quantities are equal to the same quantity they are equal to each other

Substitution Postulate

Equal Quantities may be subtracted for one another

Partition Postulate

A whole quantity is equal to the sum of its parts

Addition Postulate

If equal quantities are added to equal quantities, the sums are equal

Subtraction Postulate

If equal quantities are subtracted from equal quantities, the differences are equal

Multiplication Postuluate

If equal quantities are multiplied by equal quantities, the products are equal

Division Postulates

If equal quantities are divided by equal quantities, the quotients are equal

Halves of equal quantities are...

Equal

All right angles are...

Congruent

If two angles form a linear pair, they are...

Supplementary

If the non common sides of 2 adjacent angles from a right angle, these angles are...

Complementary

Supplements of congruent angles are...

Congruent

An angle supplementary to the same angle is...

Congruent

Complements of congruent angles are...

Congruent

An angle complementary to the same angle is...

Congruent

Vertical angles are...

Congruent