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Chapter Three Study Cards
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35
Mathematics
10th Grade
11/03/2010

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Term
Corresponding Angles Postulate
Definition
If two parallel lines are cut by a transversal then the corresponding angles are congruent.
Term
Alternate Interior Angle Theorem
Definition
If two parallel lines are cut by a transversal then Alternate Interior Angles are congruent.
Term
Alternate Exterior Angles Theorem
Definition
If two lines are cut by a transversal then alternate exterior angles are congruent.
Term
Same Side Interior Angles Theorem
Definition
If two parallel lines are cut by a transversal then same side interior angles are supplementary.
Term
Corresponding Angles Postulate Converse
Definition
If two lines are cut by a transversal and corresponding angles are congruent then the lines are parallel.
Term
Alternate Interior Angles Theorem Converse
Definition
If two lines are cut by a transversal and alternate interior angles are congruent then the lines are parallel.
Term
Same Side Interior Angles Theorem Converse
Definition
If two lines are cut by a transversal and same side interor angles are supplementary then the lines are parallel.
Term
Alternate Interior Angles
Definition
Two angles that are nonadjacent on opposite sides of a transversal.
Term
Corresponding Angles
Definition
Two angles that are in the same position on different spots along the transversal.
Term
Same Side Interior Angles
Definition
On a transversal, two interior angles on the same side that
Term
Transversals
Definition
When two or more coplaner lines are intersected by a line
Term
Triangle
Definition
A figure made by three line segments that meet at three noncollinear points.
Term
Vertex
Definition
Points where two line segments meet
Term
Sides
Definition
Line segments that make a polygon
Term
Scalene Triangle
Definition
A triangle with no congruent sides.
Term
Isosceles Triangle
Definition
Triangle with two congruent sides
Term
Equilateral Triangle
Definition
A triangle with all congruent sides
Term
Acute Triangle
Definition
A triangle with three acute angles.
Term
Obtuse Triangle
Definition
A triangle with one obtuse angle.
Term
Equiangular Traingle
Definition
A triangle with all congruent angles.
Term
Deductive Reasoning
Definition
Concluding and explainings facts with actual proof.
Term
Inductive Reasoning
Definition
Concluding and explaining facts with past observations.
Term
Concave
Definition
Polygons with diagnols outside the figure.
Term
Convex
Definition
A polygon with all diagnols inside the figure
Term
Diagnols
Definition
A line segment in a polygon that connects nonadjacent vertices
Term
Quadrilateral
Definition
Sides:four
Interior Angle Sum: 360
Triangles formed by diagnol:one
Term
Pentagon
Definition
Sides:5
Interior Angle Sum:540
Triangles made by diagnol:3
Term
Hexagon
Definition
Sides:6
Interior Angle Sum:720
Triangles made by diagnols: 4
Term
Hectagon/Septagon
Definition
Sides: 7
Interior Angle Sum:900
Triangles made by diagnols:5
Term
Octagon
Definition
Sides: 8
Interior Angle Sum:1080
Triangles made by diagnols: 6
Term
Formula
Definition
n-2*180=interior angle sum of convex polygons
Term
Decagon
Definition
A ten sided polygon
Term
N-gon
Definition
A polygon with an unknown amount of sides.
Term
Interior Angle
Definition
An angle made from line segments inside a polgyon.
Term
Exterior Angles
Definition
Angles made from line segments outside a polygon.
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