Geometric reasoning
 AB Looking for patterns, do a conjecture, and verifying the conjecture.You are watching: Two adjacent angles whose exterior sides are opposite rays are complementary. Undefined terms Point, line, and plane. Segment Consists of 2 endpoints and also all points that lie top top the line between those endpoints. Ray Consists of an initial allude and every points top top the line that lay on either one side of the endpoint or the other. Collinear Points, segments, or rays the lie top top the exact same line. Angle Two different rays that have actually the same initial point. Acute An edge whose measure is in between 0 and also 90 degrees. Right An edge whose measure is precisely 90 degrees. Obtuse An edge whose measure up is in between 90 and 180 degrees. Straight An edge whose measure is exactly 180 degrees. Reflex An edge whose measure up is in between 180 and also 360 degrees. Interior A point that lies in between points that lie on each side of an angle. Exterior A suggest that does not lie in the inner of an angle, or on the angle. Adjacent Two angle that share a typical vertex and also side, however have no usual interior points. Postulates Rules in geometry which should be embraced as true without proof; likewise called axioms. Ruler Postulate The point out on a line deserve to be matched one-to-one v the set of genuine numbers, which permits you to recognize the name: coordinates of a point and the distance between points. Segment enhancement Postulate If B is in between A and also C, climate AB+BC=AC. Protractor Postulate The rays that form an angle have the right to be placed in one-to-one correspondence v the genuine numbers in between 0 and 180 levels inclusive, which permits angles to be measured. Angle enhancement Postulate Allows friend to include the steps of nearby angles. Congruent Two segments or angles having the exact same measure. Midpoint The allude that divides a segment into two congruent segments. Segment bisector A segment, ray, line, or airplane that intersects a segment at its midpoint. Angle bisector A beam that divides one angle right into two congruent angles. Perpendicular Two lines that crossing to type a right angle. Distance formula A formula used to calculate the distance in between two clues in a coordinate plane. Hypothesis In a conditional statement, the component following the "if" denoted by "p". Conclusion In a conditional statement, the component following the "then" denoted by "q". Conditional statement A logical statement that deserve to be composed in "if-then" form. Converse A conditional statement created by interchanging the hypothesis and also conclusion. Counterexample One example used to demonstrate that a conditional statement is false. Biconditional statement A true conditional statement whose converse is likewise true. Reflexive Any geometric thing is congruent to itself. Symmetric If one geometric thing is congruent to a second, climate the second is congruent to the first. Transitive If one geometric thing is congruent to a second, and the 2nd is congruent to a third, climate the first object is congruent to the third object. Vertical angles Two angle whose sides form two bag of opposite rays. Linear pair Two nearby angles whose noncommon sides room opposite rays. Complementary Two angle whose steps sum come 90 degrees. Supplementary Two angles whose actions sum come 180 degrees. Linear Pair Postulate If 2 angles type a direct pair, climate they space supplementary. Vertical angle Theorem If 2 angles are vertical angles, climate they space congruent. Congruent additional Theorem If 2 angles space supplementary to the same angle or to congruent angles, then they room congruent. Congruent Complements Theorem If two angles are complementary come the same angle or come congruent angles, climate they room congruent.See more: Ð®Ð¹ The Name Trombone Is Derived From The Italian Term For Trumpet Deductive reasoning To reason from recognized facts; provided when proving a theorem.
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