Geometric reasoning
Looking for fads, making a conjecture, and verifying the conjecture.

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Unidentified termsPoint, line, and also airplane.
SegmentConsists of 2 endpoints and all points that lie on the line in between those endpoints.
RayConsists of an initial suggest and all points on the line that lay on either one side of the endpoint or the various other.
CollinearPoints, segments, or rays that lie on the same line.
AngleTwo various rays that have actually the exact same initial suggest.
AcuteAn angle whose measure is between 0 and 90 degrees.
RightAn angle whose meacertain is exactly 90 degrees.
ObtuseAn angle whose meacertain is in between 90 and 180 degrees.
StraightAn angle whose measure is precisely 180 levels.
ReflexAn angle whose measure is in between 180 and 360 levels.
InteriorA suggest that lies between points that lie on each side of an angle.
ExteriorA point that does not lie in the interior of an angle, or on the angle.
AdjacentTwo angles that share a widespread vertex and side, but have no prevalent internal points.
PostulatesRules in geomeattempt which have to be welcomed as true without proof; likewise dubbed axioms.
Ruler PostulateThe points on a line can be matched one-to-one via the set of genuine numbers, which allows you to determine the coordinate of a suggest and also the distance in between points.
Segment Addition PostulateIf B is between A and C, then AB+BC=AC.
Protractor PostulateThe rays that create an angle have the right to be put in one-to-one correspondence through the real numbers between 0 and 180 levels inclusive, which permits angles to be measured.
Angle Addition PostulateAllows you to add the actions of adjacent angles.
CongruentTwo segments or angles having actually the very same meacertain.
MidpointThe allude that divides a segment right into 2 congruent segments.
Segment bisectorA segment, ray, line, or airplane that intersects a segment at its midsuggest.
Angle bisectorA ray that divides an angle right into 2 congruent angles.
PerpendicularTwo lines that intersect to develop a best angle.
Distance formulaA formula used to calculate the distance in between 2 points in a coordinate airplane.
HypothesisIn a conditional statement, the part following the "if" delisted by "p".
ConclusionIn a conditional statement, the component adhering to the "then" delisted by "q".
Conditional statementA logical statement that have the right to be created in "if-then" develop.
ConverseA conditional statement developed by interaltering the hypothesis and also conclusion.
CounterexampleOne instance offered to show that a conditional statement is false.
Biconditional statementA true conditional statement whose converse is likewise true.
ReflexiveAny geometric object is congruent to itself.
SymmetricIf one geometric object is congruent to a second, then the second is congruent to the initially.
TransitiveIf one geometric object is congruent to a 2nd, and also the second is congruent to a third, then the initially object is congruent to the 3rd object.
Vertical anglesTwo angles whose sides develop two pairs of opposite rays.
Linear pairTwo nearby angles whose nonprevalent sides are oppowebsite rays.
ComplementaryTwo angles whose measures amount to 90 degrees.
SupplementaryTwo angles whose steps amount to 180 levels.
Liclose to Pair PostulateIf 2 angles create a straight pair, then they are supplementary.
Vertical Angles TheoremIf 2 angles are vertical angles, then they are congruent.
Congruent Supplements TheoremIf two angles are supplementary to the very same angle or to congruent angles, then they are congruent.
Congruent Complements TheoremIf 2 angles are complementary to the very same angle or to congruent angles, then they are congruent.

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Deductive reasoningTo reason from well-known facts; supplied once proving a theorem.