26 juil 2013 · Right Angle Congruence Theorem All right angles are congruent Vertical Angles Theorem Vertical angles are equal in measure Theorem If
Basic Geometry Definitions Polygon – a shape that is many sided (all the sides have to be straight Acute – all 3 angles are less than 90 degrees
Geometry Basic Definitions All definitions must be written in “If then ” form in An angle is made up of two rays (sides) with a common endpoint
defined as the set of all points in a plane that are at a distance r from a given point O This definition Nearly every geometric definition can be—and
29 mar 2018 · Definition: Triangles are closed geometrical figures that have three straight sides Every triangle will, as a result, have three angles as well
Summer 2019 – know and be prepared to define/discuss the following terms 1 Geometry Equiangular triangle – triangle with all angles congruent
28 fév 2007 · Denote by CPt, CL and CPl the classes of all points, lines and planes respectively 1 Axioms A 1 1 1 – A 1 1 8 define
angle, and straight angle are common geometric terms ?ABC is a right angle A right angle forms a square corner ?DEF is an acute angle An
Geometry comes from two Greek words, “ge” meaning “earth” and “metria” meaning earlier mathematical works were simply discarded and lost to all future
?ABC ? ?DEF) if all three corresponding angles are equal Parallel Lines Two lines are parallel if they do not intersect Midpoint of a line segment The
Basic Geometry Definitions Polygon – a shape that is many sided (all the sides have to be straight lines) Acute – all 3 angles are less than 90 degrees
Basic Geometric Terms Definition Example Point – an exact location in space A point has no Plane – a flat surface that extends endlessly in all directions
Geometry Basic Definitions All definitions must be written in “If then ” form in An angle is made up of two rays (sides) with a common endpoint (vertex)
5 1Introduction The word 'geometry' comes form the Greek words 'geo', meaning the 'earth', all the known work and arranged it in his famous treatise, Thales
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119331_6Ch1_card.pdf Geometry Basic Definitions All definitions must be written in "If ... then ..." form in
An angle is made up of two rays (sides) with a common endpoint (vertex). An acute angle is an angle whose measure is greater than 0 and less than 90.
A right angle is an angle whose measure is 90.
An obtuse angle
is an angle whose measure is greater than 90 and less than 180. A straight angle is an angle whose measure is 180. Congruent angles are angles that have the same measure.
Congruent segments
are segments that have the same length.
Points that lie on the same line are called collinear. A theorem is a mathematical statement that can be proved.
The midpoint
of a segment is a point that divides the segment into two congruent segments. A point (or segment, ray or line) that divides a segment into two congruent segments bisects the segment. Two points (segments, rays or lines) that divide a segment into three congruent segments trisect the segment. The two points at which the segment is divided are called the trisection points of the segment.
The bisector of an angle
is a ray that divides the angle into two congruent angles. (The ray is said to bisect the angle ) Two rays that divide an angle into three congruent angles trisect the angle. The two dividing rays are called trisectors of the angle .
A postulate
is an unproved assumption. A definition states the meaning of a term or idea.
Union:
The set of all elements contained in two sets.
Intersection:
The set of all elements common to two set.
Empty Set:
The set containing no elements. M M B A Betweenness: If a point is between two other points, then the three points are collinear and the sum of the measures of the smaller segments formed by the three points is equal to the measure of the longest segment. (A-B-C AB + BC = AC)
Triangle Inequality:
If three points are non-collinear, then the sum of the lengths of any two sides is greater than the length of the third side. (AB + BC > AC, BC + AC >
AB, and AC + AB > BC)
Angle Addition:
If two angles are adjacent angles then the sum of the measures of the two smaller angles is equal to the measure of the larger angle. (If X is in the interior of
PAQ, then mPAQ = mPAX + mXAQ)
Probability:
Probability = number of winners number of possibilities
Theorems:
If two angles are right angles, then they are congruent. If two angles are straight angles, then they are congruent.
Postulate:
Two points determine a line.
Logic and Reasoning:
Conditional sentence: p q
Converse: q
p
Inverse: p q
Contrapositive: q p
If a conditional sentence is true then the contrapositive is true.
Chain of reasoning: If p q and q r, then p r
Also: A complete rotation about a point is 360
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