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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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