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collinear

points that lie on the same line####Coplanar

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  1. determine whether the biconditional is true

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  1. if not, provide a counterexample####What is a good definition?

uses clearly understood terms, is precise, and is reversible####deductive reasoning

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  1. p is true

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conclusion: q is true####law of sylllogism

  1. p-->q

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  1. q--> r

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conclusion: p-->r####Addition Property of Equality

If a=b, then a+c=b+c####Subtraction Property of Equality

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  1. state any other information that we would need to use HL####CPCTC

corresponding parts of congruent triangles are congruent####midsegment of a triangle

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  • makes a right angle

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  • may or may not begin at a vertex####What does a angle bisector of a triangle do?

  • bisects the angle it's drawn from

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  • always from the vertex to the side opposite####What is altitude of a triangle?

  • the height of a triangle

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  • always forms a right angle with the side it intersects

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  • always starts at a vertex and intersects the opposite side

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  • may be inside, outside or on the triangle####what is median of a triangle?

  • always from the vertex to the midpoint of the opposite side

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  • bisects the side opposite the vertex####Angle Bisector Theorem and its converse

a point is on a bisector of an angle, if and only if, it is equidistant from the two sides of the angle####Triangle Inequality Theorem

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  • each segment intersects exactly two other segments at their endpoints####triangle

3 sided polygon####quadrilateral

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  1. both pairs of opposite sides are congruent

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  1. both pairs of opposite angles are congruent

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  1. the diagonals bisect each other

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  1. one pair of opposite sides is both parallel and congruent

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  1. one angle is supplementary to both consecutive angles####rectangle

a parallelogram with 4 right angles####rhombus

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