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All main topics / Mathematics / Geometry

Alli's Geometry Flashcards(: (25 Cards)

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What Does The Segment Addition Postulate State?
If Three Points A, B, And C, Then AB + BC = AC.
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Which Theorem States If The Two Angles Of One Triangle Are Congruent To Two Angles Of Another Triangle, Then The Third Angles Are Congruent?
Theorem 4-1.
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What Is Postulate 4-3 (ASA)?
If Two Angles And The Included Side Of One Triangle Are Congruent To Two Angles And The Included Side Of Another Triangle, Then The Two Triangles Are Congruent.
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Which Postulate States That If Three Sides Of One Triangle Are Congruent To The Three Sides Of Another Triangle, Then The Two Triangles Are Congruent?
Postulate 4-1 (SSS)
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What Does The Theorem 4-2 State (SAS)?
If Two Sides And The Included Angle Of One Triangle Are Congruent To Two Sides And The Included Angle Of Another Triangle, Then The Two Triangles Are Congruent.
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What Theorem States If A Transversal Intersects Two Parallel Lines Then Same-side Interior Angles Are Supplementary?
Same Side Interior Angles Theorem.
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What Does Theorem 3-5 State?
If Two Lines Are Parallel To The Same Line, Then They Are Parallel To Each Other.
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What Does The Triangle Angle-Sum Theorem State?
The Sum Of The Measures Of The Angles Of A Triangle Is 180.
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What Theorem States That The Sum Of The Measures Of The Angles Of An n-gon Is (n-2)180?
Theorem 3-9: Polygon Angle-Sum Theorem.
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What Is The Alternate Interior Angles Theorem?
If A Transversal Intersects Two Parallel Lines, Then The Alternate Interior Angles Are Congruent.
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What Is The Triangle Midsegment Theorem?
If A Segment Joins The Midpoints Of Two Sides Of A Triangle, Then The Segment Is Parallel To The Third Side, And Is Half Its Length.
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Which Theorem StatesThat The Lines That Contain The Altitudes Of A Triangle Are Concurrent?
Theorem 5-9.
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What Theorem States If Two Angles Of A Triangle Are Not Congruent, Then The Longer Side Lies Opposite The Longer Side?
Theorem 5-11
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What Does The Perpendicular Bisector Theorem State?
If A Point Is On The Perpendicular Bisector Of A Segment, Then It Is Equidistant From The Endpoints Of The Segment.
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What Does Theorem 5-6 State?
The Perpendicular Bisectors Of The Sides Of A Triangle Are Concurrent At A Point Equidistant From The Vertices.
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What Does Theorem 4-3 State?
If Two Sides Of A Triangle Are Congruent, Then The Angles Opposite Those Sides Are Congruent.
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What Does Postulate 1-3 State?
If Two Planes Intersect, Then They Intersect In Exactly One Line.
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What Is The Law Of Syllogism?
If p > q And q > r Are True Statements, Then p --> r Is A True Statement.
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What Is Are The Properties Of Congruence?
Reflexive Property, Symmetric Property, And Transitive Property.
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What Does Theorem 2-4 State?
All Right Angles Are Congruent.
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What Is The Vertical Angles Theorem?
Vertical Angles Are Congruent.
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What Is The Law Of Detatchment?
If A Conditional Is True And Its Hypothesis Occurs, Then Its Conclusion Is Guarenteed. In Symbolic Form: If p --> q Is A True Statement And p Is True, Then q Is True.
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What Postulate States If Two Figures Are Congruent, Then Their Areas Are Equal?
Postulate 1-9.
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Which Postulate States That The Area Of A Region Is The Sum Of The Areas Of Its Nonoverlapping Parts?
Postulate 1-10.
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Which Postulate States Through Any Two Points There Is Exactly One Line?
Postulate 1-1.
Flashcard set info:
Author: CoboCards-User
Main topic: Mathematics
Topic: Geometry
Published: 12.01.2011
 
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