Polygons and Logical Statements
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Polygon | An enclosed figure created by the union of line segments, where endpoints meet at vertices, and no line segments overlap.
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| Convex Polygon | A polygon without indentations.
Rubber band rule: the rubberband will touch all vertices and line segments of a convex polygon.
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| 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.
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| Polygonal region | A shaded-in polygon, where all points in the polygon are part of the region.
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| Intersection of two (or more) sets of data | The values in common, or the overlap, in two or more sets of data.
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| Union of two (or more) sets of data | All values that are in each set and the intersection.
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| 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
{ }.
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| Antecedant | The hypothesis, the part of a conditional that follows the "if" part.
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| Consequent | The conclusion, the part of a conditional that follows the "then" part.
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| A conditional | An If-Then statement.
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| An instance of the conditional | The "If P" and the "then Q" parts are both true in the conditional.
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| Counterexample | Keeping the if-part "P" in a conditional the same, and changing the then part "Q" to be different.
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| Converse | Switching the antecedant (if part) and consequent (then part) in a conditional.
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| 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.
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| Scalene Triangle | A triangle where there are no congruent side lengths or angles.
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| Isosceles Triangle | A triangle with at least two congruent side lengths, and at least two congruent angles.
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| Equilateral Triangle | A triangle whose side lengths are all the same.
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| Equiangular Triangle | A triangle whose angles are all the same measure.
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| Is an Isosceles triangle equilateral? | No, only if the isosceles triangle has all three side lengths being the same.
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| Is an equilateral triangle isosceles? | Yes! An equilateral triangle will always have at least two sides congruent.
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| Triangle | 3 sided polygon
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| Quadrilateral | 4 sided polygon
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| Pentagon | 5 sided polygon
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| Hexagon | 6 sided polygon
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| Heptagon | 7 sided polygon
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| Octagon | 8 sided polygon
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| Nonagon | 9 sided polygon
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| Decagon | 10 sided polygon
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| Dodecagon | 12 sided polygon
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| N-gon | A polygon with n number of sides.
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| Triangle Inequality Postulate | In triangle ABC, AB + BC > AC.
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| Conjecture | A hypothesis, an opinion, a stereotype. Conjectures are NOT ALWAYS true.
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Created by:
aliciaobermann
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