| A | B |
| Subtraction Property: If the measure of angle JNL = the measure of angle KNM then | the measure of angle JNL – the measure of angle KNL = the measure of angle KNM – the measure of angle KNL |
| Substitution Property: If a = b then | a can replace b and b can replace a in an expression |
| Substitution Property: If the measure of angle 1 + the measure of angle 2 = 180 degrees and the measure of angle 1 = the measure of angle 3, then | the measure of angle 3 + the measure of angle 2 = 180 degrees. |
| If two lines intersect, then | they intersect in one and only one point |
| Deductive reasoning | Using facts, definitions, and accepted properties in a logical order to reach a conclusion or show that a conjecture is always true. |
| Inductive reasoning | A type of reasoning in which a prediction or conclusion is based on an observed pattern. |
| The measure of an exterior angle of a triangle is equal to | the sum of the measures of the two non-adjacent interior angles. |
| Reflexive Property | a = a |
| Reflexive Property | line segment PQ is congruent to line segment PQ |
| Reflexive Property | angle 3 is congruent to angle 3 |
| Symmetric Property: If a = b, then | b = a |
| Symmetric Property: If line segment PQ is congruent to line segment RS then, | line segment RS is congruent to line segment PQ |
| Transitive Property: If a = b and b = c , then | a = c. |
| Transitive Property: If the measure of angle 1 is congruent to the measure of angle 2 and the measure of angle 2 is congruent to the measure of angle 3, then | the measure of angle 1 is congruent to the measure of angle 3 |
| Addition Property: If a = b , then | a + c = b + c |
| Addition Property: If the line segment PQ is congruent to line segment RS, then | line segment PQ + the line segment QR is congruent to line segment QR + the line segment RS |
| Subtraction Property: If a = b, then | a – c = b – c |