| A quantity is congruent (equal) to itself. a = a
| Symmetric Property
| If a = b, then b = a.
| If a = b and b = c, then a = c.
| 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 Postulate
| If equal quantities are multiplied by equal quantities, the products are equal. (also Doubles of equal quantities are equal.)
| Division Postulate
| If equal quantities are divided by equal nonzero quantities, the quotients are equal. (also Halves of equal quantities are equal.)
| Substitution Postulate
| A quantity may be substituted for its equal in any expression.
| Partition Postulate
| The whole is equal to the sum of its parts. Also: Betweeness of Points: AB + BC = AC
Angle Addition Postulate: m<ABC + m<CBD = m<ABD
| Two points determine a straight line.
| From a given point on (or not on) a line, one and only one perpendicular can be drawn to the line.
| Right Angles
| All right angles are congruent.
| All straight angles are congruent.
| Supplements of the same angle, or congruent angles, are congruent.
| Congruent Complements
| Complements of the same angle, or congruent angles, are congruent.
| Linear Pair
| If two angles form a linear pair, they are supplementary.
| Vertical angles are congruent.
| The sum of the interior angles of a triangle is 180º.
| If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
| Corresponding Angles Converse
| If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
| Alternate Interior Angles
| If two parallel lines are cut by...
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