Postulate 3-5 Euclidean Parallel Postulate In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other., If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent, If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent, If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent., Perpendicular lines intersect to form four right angles. If two angles form a linear pair,then they are supplementary angles.Ĭongruence of angles is reflexive, symmetric, and transitive.Īngles supplementary to the same angle or to congruent angles are congruent.Īngles complementary to the same angle or to congruent angles are congruent. 1 m = 1000 mm, 1 m * 5 = 1000 mm * 5, 5 m = 5000 mm)įor all numbers a & b, if a = b, then a may be replaced by b in any equation or expression.įor all numbers a, b, & c, a(b + c) = ab + ac.Ĭongruence of segments is reflexive, symmetric, and transitive. 1 ft = 12 inches, 1 ft + 3 inches = 12 in ches+ 3 inches)įor all numbers a, b, and c, if a = b, then a * c = b * c, and if c not equal to zero, a ÷ c = b ÷ c.(ex. (A bit like the law of syllogism)įor all numbers a, b, & c, if a = b, then a + c = b + c and a - c = b - c.(ex. the segment GH = segment HG)įor all numbers a, b & c, if a = b & b = c, then a = c. For all numbers a & b, if a = b, then b = a.(ex.
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