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43 Cards in this Set
 Front
 Back
What is a theorem?

A conjecture that is proven.


A _____________ ________ of a segment contains the midpoint and forms right angles at the intersection

perpendicular bisector


Inductive Reasoning

When you make conjectures from specific examples or patterns.


If point B is in the interior of angle AOC, then the measure of angle AOB + the measure of angle BOC=the measure of the angle AOC. If angle AOC is a straight angle, then the measure of angle AOB + the measure of angle BOC=180.

Postulate 18
Angle Addition Postulate 

Through any 2 points there is exactly 1 line.

Postulate 11


Perpendicular lines form...

right angles


Supplementary angles are a pair of angles whose sum is...

180 degrees


If 2 lines intersect, then they intersect in exactly 1 point.

Postulate12


If 2 planes intersect, then they intersect in a line.

Postulate 12


Vedrtical angles are...

2 angles whose sides are opposite rays.


In a plane, lines either intersect or are...

parallel


Segments with the same length are...

congruent


What is a plane?

A flat surface that extends in all directions without end.


An _____ ________ divides an angle into 2 congruent andgles.

angle bisector


The process of reasoning logically from given facts to a conclusion.

Deductive Reasoning


Adjacent angles

2 coplanar angles that have a common side and a common vertex but no common interior poins.


Congruent Complements

If 2 angles are complements of congruent angles, then the 2 angles are congruent.


an angle is formed by 2 rays with the same...

end point


The points of a line can be put into a onetoone correspondence with the real numbers so that the distance between any 2 points in the absolute value of the difference of the corresponding numbers.

Postulate 15
Ruler Postulate 

Points and lines in the same plane are...

Coplaner


What angle is 90 = (or) > x > 0

Acute angle


Complementary angles are a paiir of angles whose sum is...

90 degrees


Through any 3 noncollinear points there is exactly 1 plane.

Postulate 14


What angle is 180 = (or) > x > 90?

An obtuse angle


2 planes that do not intersect are...

parallel


2 lines in space that are not parallel and do not intersect are...

skew


Coplanar

Points and lines in the same plane.


Angle bisector

A ray that divides an agle inro 2 congruent angles.


Conjectures

A conclusion reached from observation of example or patterns. Conjectures are not always correct and should be verified.


Points that lie on a line are...

Collinear


Let ray OA and ray OB be opposite rays in a plane. ray OA, ray OB, and all the rays with endpoint O that can be drawn on one side of line AB can be paired with the real numbers from 0180 in such a way that:
a) ray OA is paired with 0 and ray OB is paired with 180. b) If ray OC is paired with x and ray OD is paried with y, then the measure of angle COD=absolute value of xy 
Postulate 17
Protractor Postulate 

If 3 points A,B,C are collinear and B is between A and C, then AB + BC = AC.

Postulate 16
Segment Addition 

Vertical Angles Therem

Vertical angles are congruent.


A midpoint of a segment divides a segment into...

2 congruent segments


Congruent Supplements

If 2 angles are supplements of congrent angles, then the 2 angles are congruent.


what is a straightedge?

A ruler


What is a postulate?

An acceptted statement of fact


Parallel planes

Coplanar lines that do not intersect.


Angles are measured in...

degrees


Angles with the same measure are...

congurent


Vertical angles are...

congruent


A straight angle is how many degrees?

180


What is a space?

The set of all points.
