Geometry:Chapter 1
Terms
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- 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.
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Postulate 1-8
Angle Addition Postulate - Through any 2 points there is exactly 1 line.
- Postulate 1-1
- 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.
- Postulate1-2
- If 2 planes intersect, then they intersect in a line.
- Postulate 1-2
- 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 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.
-
Postulate 1-5
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 1-4
- 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 0-180 in such a way that:
a) ray OA is paired with 0 and ray OB is -
Postulate 1-7
Protractor Postulate - If 3 points A,B,C are collinear and B is between A and C, then AB + BC = AC.
-
Postulate 1-6
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.