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Chapter 3 Vocabulary

AB
synthetic proofa method of proof based on a system ofd postulates and theorems in which the properties of figures are studied, but not their actual measurements.
inversea statement obtained by adding "not" to both the if and then parts of an if-then statement
coordinate proofa method of proof based on a coordinate system in which all points are represented by ordered pairs of numbers
inclusive definitiona definition that includes all possibilities
inscribedpoints intersecting on a circle
central anglean angle with its vertex at the center of a circle
major arcan arc of a circle with a measure greater than 180 and less than 360
indirect proofa method of proof in which you temporarily assume the opposite of what you want to prove and then show that this leads to an impossible situation or a contradiction of a known fact
semiperimeterhalf the perimeter
regular polyhedrona space figure whose faces are all regular polygons of one type and which has the same number of faces at each vertex
implicationa statement with an if part and then part. the if part is the hypothesis and the then part is the conclusion also called a conditional
contrapositivea statement by interchanging and adding "not" to the if and then parts of an if-then statement
isosceles trapezoida trapezoid with a line of symmetry that passes through the midpoints of the basses
exclusive definitona definition that excludes some possibilities
circumscribedabout a ploygon when each vertex of the ploygon lies on the circle
minor arcan arc of a circle with a mesure less than 180
inscribed anglean angle formed by two chords intersecting at a point on a circle
tangenta line in the plane of the circle that intersects the circle in exactly one point
polyhendroma space figure whose faces are polygons
neta set of polygons that can be used to make a polyhedron
conversea statement obtained by interchanging the if and then parts of an if-then statement
median of a trianglea segment joining a vertex of a trinangle to the midpoint of the opposite side
trapezoida quadrilateral with at least one pair of parallel sides
regular ploygona polygon with all sides equal in length and all angles equal in measure
chorda segment joining two points on a circle
semicirclean arc of a circle with a measure of 180
intercepted arcthe arc that lies with in an inscribed angle or central angle
secanta line intersecting a circle in two points
semiregular polyhedrona space whose faces are all regular polygons and which has the same number of caces of each type at each vertex
defectthe angle measure of the gap in a net for a plyhedron


Emily Behn

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