Geometric reasoning
 AB Looking because that patterns, do a conjecture, and verifying the conjecture.You are watching: Two angles whose measures add up to 90 degrees Undefined terms Point, line, and also plane. Segment Consists of 2 endpoints and also all points the lie top top the line in between those endpoints. Ray Consists of one initial allude and every points on the line the lay on one of two people one side of the endpoint or the other. Collinear Points, segments, or rays that lie ~ above the very same line. Angle Two different rays that have the same initial point. Acute An edge whose measure up is in between 0 and 90 degrees. Right An edge whose measure up is exactly 90 degrees. Obtuse An angle whose measure is in between 90 and also 180 degrees. Straight An angle whose measure is exactly 180 degrees. Reflex An edge whose measure is in between 180 and also 360 degrees. Interior A point that lies between points that lie on every side of one angle. Exterior A allude that does no lie in the internal of an angle, or on the angle. Adjacent Two angle that re-superstructure a typical vertex and also side, yet have no typical interior points. Postulates Rules in geometry which should be welcomed as true there is no proof; likewise called axioms. Ruler Postulate The clues on a line deserve to be matched one-to-one with the set of genuine numbers, which enables you to recognize the coordinate of a point and the distance between points. Segment addition Postulate If B is between A and also C, climate AB+BC=AC. Protractor Postulate The light ray that kind an angle can be placed in one-to-one correspondence through the real numbers in between 0 and 180 degrees inclusive, which allows angles to be measured. Angle addition Postulate Allows girlfriend to include the measures of nearby angles. Congruent Two segments or angles having actually the exact same measure. Midpoint The suggest that divides a segment right into two congruent segments. Segment bisector A segment, ray, line, or plane that intersects a segment at its midpoint. Angle bisector A beam that divides one angle into two congruent angles. Perpendicular Two lines that crossing to type a best angle. Distance formula A formula supplied to calculation the distance between two point out in a name: coordinates plane. Hypothesis In a conditional statement, the part following the "if" denoted through "p". Conclusion In a conditional statement, the component following the "then" denoted by "q". Conditional statement A logical statement that have the right to be written in "if-then" form. Converse A conditional statement developed by interchanging the hypothesis and also conclusion. Counterexample One example used to demonstrate that a conditional declare is false. Biconditional statement A true conditional statement whose converse is additionally true. Reflexive Any geometric object is congruent to itself. Symmetric If one geometric thing is congruent come a second, then the second is congruent to the first. Transitive If one geometric thing is congruent come a second, and the 2nd is congruent to a third, climate the an initial object is congruent come the 3rd object. Vertical angles Two angle whose sides form two bag of opposite rays. Linear pair Two surrounding angles whose noncommon sides space opposite rays. Complementary Two angles whose steps sum come 90 degrees. Supplementary Two angles whose procedures sum come 180 degrees. Linear Pair Postulate If two angles form a linear pair, climate they space supplementary. Vertical angles Theorem If two angles space vertical angles, climate they space congruent. Congruent supplements Theorem If 2 angles are supplementary to the very same angle or come congruent angles, climate they room congruent. Congruent Complements Theorem If 2 angles room complementary to the same angle or come congruent angles, climate they room congruent.See more: Which Lewis Electron-Dot Diagram Is Correct For Co2? Which Lewis Electron Deductive reasoning To factor from recognized facts; provided when proving a theorem.
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