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Geometry Chapter 2

Polygons and Logical Statements

Polygon An enclosed figure created by the union of line segments, where endpoints meet at vertices, and no line segments overlap.
Convex Polygon A polygon without indentations. Rubber band rule: the rubberband will touch all vertices and line segments of a convex polygon.
Concave Polygon A polygon with an indentation(s). Rubber band rule: the rubberband will not touch all vertices and line segments; there will be a diagonal outside of the polygon.
Polygonal region A shaded-in polygon, where all points in the polygon are part of the region.
Intersection of two (or more) sets of data The values in common, or the overlap, in two or more sets of data.
Union of two (or more) sets of data All values that are in each set and the intersection.
The Null Set or Empty Set If two sets of data do not have any values in the intersection, their intersection is the empty set { }.
Antecedant The hypothesis, the part of a conditional that follows the "if" part.
Consequent The conclusion, the part of a conditional that follows the "then" part.
A conditional An If-Then statement.
An instance of the conditional The "If P" and the "then Q" parts are both true in the conditional.
Counterexample Keeping the if-part "P" in a conditional the same, and changing the then part "Q" to be different.
Converse Switching the antecedant (if part) and consequent (then part) in a conditional.
Biconditional If P implies Q is true, and Q implies P is true, a biconditional can be created such that "P if and only if Q"; a double arrow is used for bi conditional notation.
Scalene Triangle A triangle where there are no congruent side lengths or angles.
Isosceles Triangle A triangle with at least two congruent side lengths, and at least two congruent angles.
Equilateral Triangle A triangle whose side lengths are all the same.
Equiangular Triangle A triangle whose angles are all the same measure.
Is an Isosceles triangle equilateral? No, only if the isosceles triangle has all three side lengths being the same.
Is an equilateral triangle isosceles? Yes! An equilateral triangle will always have at least two sides congruent.
Triangle 3 sided polygon
Quadrilateral 4 sided polygon
Pentagon 5 sided polygon
Hexagon 6 sided polygon
Heptagon 7 sided polygon
Octagon 8 sided polygon
Nonagon 9 sided polygon
Decagon 10 sided polygon
Dodecagon 12 sided polygon
N-gon A polygon with n number of sides.
Triangle Inequality Postulate In triangle ABC, AB + BC > AC.
Conjecture A hypothesis, an opinion, a stereotype. Conjectures are NOT ALWAYS true.
Created by: aliciaobermann