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Chapter 4 - Geometry
N/A
15
Mathematics
10th Grade
11/02/2012

Additional Mathematics Flashcards

 


 

Cards

Term

SSS Postulate (Side-Side-Side)

 

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Definition
If three side of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Term

SAS Postulate (Side-Angle-Side)

 

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Definition
If two side and the included angle of one triangle are congruent to two sides and the included of another triangle, then the triangles are congruent.
Term

ASA Postulate (Angle-Side-Angle)

 

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Definition
If two angles and the included side of one triangle are congruent to two angles angles and the included side of another triangle, then the triangle are congruent.
Term

The Isosceles Triangle Theorem

 

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Definition
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Term
Corollary 1
Definition
An equilateral triangle is also equiangular.
Term
Corollary 2
Definition
An equailateral triangle has three 60 degree angles.
Term
Corollary 3
Definition
The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its line.
Term
Theorem 4-2
Definition
If two angles of a triangle are congruent, then the side opposite those angles are congruent.
Term
Corollary 4
Definition
An equianular triangle is also equilateral.
Term

AAS Theorem (Angle-Angle-Side)

 

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Definition
If two angles and a non-included side of one triangle are congruent to the corresponding pars of another triangle, then the triangles are congruent.
Term

HL Theorem (Hypotenuse Leg)

 

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Definition
If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.
Term
Theorem 4-5
Definition
If a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segments.
Term
Theorem 4-6
Definition
If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment.
Term
Theorem 4-7
Definition
If a point lies on the bisector of an angle, then the point is equidistant from then sides of the angle.
Term
Theorem 4-8
Definition
If a point is equidistant from the sides of an angle, then the point lies on the bisector of the angle.
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