Geometric reasoning
Looking because that patterns, do a conjecture, and verifying the conjecture.

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Undefined termsPoint, line, and also plane.
SegmentConsists of 2 endpoints and also all points the lie top top the line in between those endpoints.
RayConsists 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.
CollinearPoints, segments, or rays that lie ~ above the very same line.
AngleTwo different rays that have the same initial point.
AcuteAn edge whose measure up is in between 0 and 90 degrees.
RightAn edge whose measure up is exactly 90 degrees.
ObtuseAn angle whose measure is in between 90 and also 180 degrees.
StraightAn angle whose measure is exactly 180 degrees.
ReflexAn edge whose measure is in between 180 and also 360 degrees.
InteriorA point that lies between points that lie on every side of one angle.
ExteriorA allude that does no lie in the internal of an angle, or on the angle.
AdjacentTwo angle that re-superstructure a typical vertex and also side, yet have no typical interior points.
PostulatesRules in geometry which should be welcomed as true there is no proof; likewise called axioms.
Ruler PostulateThe 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 PostulateIf B is between A and also C, climate AB+BC=AC.
Protractor PostulateThe 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 PostulateAllows girlfriend to include the measures of nearby angles.
CongruentTwo segments or angles having actually the exact same measure.
MidpointThe suggest that divides a segment right into two congruent segments.
Segment bisectorA segment, ray, line, or plane that intersects a segment at its midpoint.
Angle bisectorA beam that divides one angle into two congruent angles.
PerpendicularTwo lines that crossing to type a best angle.
Distance formulaA formula supplied to calculation the distance between two point out in a name: coordinates plane.
HypothesisIn a conditional statement, the part following the "if" denoted through "p".
ConclusionIn a conditional statement, the component following the "then" denoted by "q".
Conditional statementA logical statement that have the right to be written in "if-then" form.
ConverseA conditional statement developed by interchanging the hypothesis and also conclusion.
CounterexampleOne example used to demonstrate that a conditional declare is false.
Biconditional statementA true conditional statement whose converse is additionally true.
ReflexiveAny geometric object is congruent to itself.
SymmetricIf one geometric thing is congruent come a second, then the second is congruent to the first.
TransitiveIf 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 anglesTwo angle whose sides form two bag of opposite rays.
Linear pairTwo surrounding angles whose noncommon sides space opposite rays.
ComplementaryTwo angles whose steps sum come 90 degrees.
SupplementaryTwo angles whose procedures sum come 180 degrees.
Linear Pair PostulateIf two angles form a linear pair, climate they space supplementary.
Vertical angles TheoremIf two angles space vertical angles, climate they space congruent.
Congruent supplements TheoremIf 2 angles are supplementary to the very same angle or come congruent angles, climate they room congruent.
Congruent Complements TheoremIf 2 angles room complementary to the same angle or come congruent angles, climate they room congruent.

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Deductive reasoningTo factor from recognized facts; provided when proving a theorem.