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43 Cards in this Set
- Front
- Back
What is a theorem?
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A conjecture that is proven.
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A _____________ ________ of a segment contains the midpoint and forms right angles at the intersection
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perpendicular bisector
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Inductive Reasoning
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When you make conjectures from specific examples or patterns.
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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.
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Postulate 1-8
Angle Addition Postulate |
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Through any 2 points there is exactly 1 line.
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Postulate 1-1
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Perpendicular lines form...
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right angles
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Supplementary angles are a pair of angles whose sum is...
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180 degrees
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If 2 lines intersect, then they intersect in exactly 1 point.
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Postulate1-2
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If 2 planes intersect, then they intersect in a line.
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Postulate 1-2
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Vedrtical angles are...
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2 angles whose sides are opposite rays.
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In a plane, lines either intersect or are...
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parallel
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Segments with the same length are...
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congruent
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What is a plane?
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A flat surface that extends in all directions without end.
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An _____ ________ divides an angle into 2 congruent andgles.
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angle bisector
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The process of reasoning logically from given facts to a conclusion.
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Deductive Reasoning
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Adjacent angles
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2 coplanar angles that have a common side and a common vertex but no common interior poins.
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Congruent Complements
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If 2 angles are complements of congruent angles, then the 2 angles are congruent.
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an angle is formed by 2 rays with the same...
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end point
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The points of a line can be put into a one-to-one correspondence with the real numbers so that the distance between any 2 points in the absolute value of the difference of the corresponding numbers.
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Postulate 1-5
Ruler Postulate |
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Points and lines in the same plane are...
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Coplaner
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What angle is 90 = (or) > x > 0
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Acute angle
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Complementary angles are a paiir of angles whose sum is...
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90 degrees
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Through any 3 noncollinear points there is exactly 1 plane.
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Postulate 1-4
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What angle is 180 = (or) > x > 90?
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An obtuse angle
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2 planes that do not intersect are...
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parallel
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2 lines in space that are not parallel and do not intersect are...
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skew
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Coplanar
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Points and lines in the same plane.
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Angle bisector
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A ray that divides an agle inro 2 congruent angles.
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Conjectures
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A conclusion reached from observation of example or patterns. Conjectures are not always correct and should be verified.
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Points that lie on a line are...
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Collinear
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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 0-180 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 x-y |
Postulate 1-7
Protractor Postulate |
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If 3 points A,B,C are collinear and B is between A and C, then AB + BC = AC.
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Postulate 1-6
Segment Addition |
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Vertical Angles Therem
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Vertical angles are congruent.
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A midpoint of a segment divides a segment into...
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2 congruent segments
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Congruent Supplements
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If 2 angles are supplements of congrent angles, then the 2 angles are congruent.
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what is a straightedge?
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A ruler
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What is a postulate?
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An acceptted statement of fact
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Parallel planes
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Coplanar lines that do not intersect.
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Angles are measured in...
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degrees
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Angles with the same measure are...
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congurent
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Vertical angles are...
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congruent
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A straight angle is how many degrees?
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180
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What is a space?
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The set of all points.
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