Properites of Inequality | Postulates and Formulas | Congruence Proofs | Definitions | More Theorems and Corollaries |
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What is either a>b, a=b, or a
State the "Three Possibilities" Property of Inequality.
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What is √[(x₂ - x₁)² + (y₂ - y₁)²]?
State the Distance Formula. You may write this out.
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What is If the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent?
State the SSS Theorem.
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What is two triangles are congruent iff there is a correspondence between their vertices such that all of their corresponding sides and angles are equal?
Define congruence.
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What is lines are parallel?
Finish the theorem: Equal corresponding angles mean that ___________.
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What is if a>b, then a-c>b-c?
State the Subtraction Property of Inequality.
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What is if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent?
State the ASA Postulate.
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What is YOU'RE CORRECT!!
FREE POINTS!!!
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What is a connected set of at least three line segments in the same plane such that each segment intersects exactly two others, one at each endpoint?
Define polygon.
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What is are parallel?
Finish the theorem: In a plane, two lines parallel to a third line _________.
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What is if a>b and b>c, then a>c?
State the Transitive Property of Inequality.
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What is YOU'RE CORRECT!!
FREE POINTS!!!
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What is if two angles and the side opposite one of them in one triangle are equal to the corresponding parts of another triangle, the triangles are congruent?
State the AAS Theorem.
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What is Scalene: no equal sides
Isosceles: at least two equal sides Equilateral: all sides are equal Equiangular: all angles are equal?
Define scalene, isosceles, equalateral, and equiangular.
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What is the sum of any two sides of a triangle is greater than the third side?
State the Triangle Inequality Theorem.
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What is if a>b and c>0, then ac>bc?
State the Multiplication Property of Inequality.
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What is if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent?
State the SAS Postulate.
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What is if a hypotenuse and a leg of one right triangle are equal to the corresponding parts of another right triangle, the triangles are congruent.?
State the HL Theorem.
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What is two lines are parallel iff they lie in the same plane and do not intersect?
Define parallel.
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What is side of a transversal mean that lines are parallel?
Finish the Corollary: Supplementary angles on the same _________________________.
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What is if a>b and c>0, then
a b _ > _ c c
State the Division Property of Inequality.
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What is there is exactly one line parallel to the given line?
Finish the Parallel Postulate: Through a point not on a line, _______________.
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What is the angles can be the same size, but the lengths could be different?
Explain why AAA is not a way to prove congruence.
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What is two points are symmetric with respect to a line iff the line is the perpendicular bisector of the line segment connecting the two points?
Define symmetric with respect to a line.
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What is the perpendicular bisector of the line segment?
Finish the theorem: In a plane, two points each equidistant from the endpoints of a line segment determine ______________________________.
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