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Geometry OSDE Academic Vocabulary List 2
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Terms in this set (29)
inscribed angles
An angle whose vertex is on the circle and whose sides contain chords of the circle
inscribed polygons
Polygon in a circle which has all of its vertices lying on the circle
circumscribed
A circle that contains all the vertices of a polygon
interior angles
angles on the inside of a polygon
exterior angles
angles on the outside of a polygon
lateral surface area
Sum of the surface areas of all the faces of a space figure except the bases
median of a triangle
A segment from a vertex to the midpoint of the opposite side
midpoint formula
(x₁+x₂)/2, (y₁+y₂)/2
polyhedra
A three dimensional shape with flat surfaces, no holes, straight edges
formal proof
A two-column proof containing statements and reasons
paragraph proof
A style of proof in which the statements and reasons are presented in paragraph form
flow proof
A type of proof that uses arrows to show the logical flow of an argument
algebraic proof
a proof that is made up of a series of algebraic statements
Pythagorean theorem
a²+b²=c²
symmetric properties
If a=b then b=a if m<A=m<B, then m<b=m<a
secant line
A line in the plane of a circle that intersects a circle at exactly two points
tangent line
A line in the plane of a circle that intersects the circle in exactly one point.
theorem
A statement or conjecture that can be proven
postulate
something accepted as true without proof; an axiom
conjecture
an opinion or conclusion formed on the basis of incomplete information
total surface area
# of square units needed to cover all of surfaces (bases and lateral area)
transformation
A movement of a geometric figure
reflection
A transformation that "flips" a figure over a mirror or reflection line.
rotation
a transformation that turns a figure about a fixed point
translation
a transformation that slides a figure to a different location
trigonometric ratio
a ratio of two sides of a right triangle
sine
opposite over hypotenuse
cosine
adjacent over hypotenuse
tangent
A straight or curved line that intersects a circle or arc at one point only.
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