Download CONCEPTS Undefined terms

Name_____________________________________________________ Period_____ Geometry, Semester 1
Chapter 1:
CONCEPTS
Undefined terms (2)
Point
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Line
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Plane
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Defined terms (3)
Segment
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Endpoints
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Ray
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Midpoint Formula (16)
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Distance Formula (17)
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Identify Polygons (42)
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Formulas for (49)
Perimeter
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Area
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Circumference
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POSTULATES
Ruler Postulate (9)
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Segment Addition Postulate (10)
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Protractor Postulate (24)
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Angle Addition Postulate (25)
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Chapter 2:
CONCEPTS
Perpendicular Lines (81)
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Laws of Logic (87)
Law of Detachment
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Law of Syllogism
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PROPERTIES
Addition Property of Equality (105)
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Subtraction Property of Equality (105)
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Multiplication Property of Equality (105)
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Division Property of Equality (105)
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Substitution Property of Equality (105)
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Distributive Property (106)
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Reflexive Property of Equality (107)
Real Numbers
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Segment Length
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Angle Measure
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Symmetric Property of Equality (107)
Real Numbers
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Segment Length
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Angle Measure
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Transitive Property of Equality (107)
Real Numbers
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Segment Length
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Angle Measure
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POSTULATES
Point, Line and Plane Postulates (96)
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6
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7
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8
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10
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Linear Pair Postulate (126)
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THEOREMS
Congruence of Segments (113)
Reflexive
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Symmetric
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Transitive
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Congruence of Angles (113)
Reflexive
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Symmetric
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Transitive
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Right Angle Congruence Theorem (124)
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Congruent Supplements Theorem (125)
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Congruent Complements Theorem (125)
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Vertical Angles Congruence Theorem (126)
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Chapter 3:
CONCEPTS
Angles formed by Transversals (149)
Corresponding Angles
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Alternate Interior Angles
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Alternate Exterior Angles
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Consecutive Interior Angles
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Slopes of Lines in a Coordinate Plane (171)
Negative
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Positive
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Zero (horizontal)
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Undefined (vertical)
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POSTULATES
Chapter 3:
Parallel Postulate (148)
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Perpendicular Postulate (148)
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Corresponding Angles Postulate (154)
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Corresponding Angles Converse (161)
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Slopes of Parallel Lines (172)
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Slopes of Perpendicular Lines (172)
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THEOREMS
Alternate Interior Angles Theorem (155)
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Alternate Exterior Angles Theorem (155)
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Consecutive Interior Angles Theorem (155)
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Alternate Interior Angles Converse (162)
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Alternate Exterior Angles Converse (162)
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Consecutive Interior Angles Converse (162)
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Transitive Property of Parallel Lines (164)
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Theorem 3.8 (190)
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Theorem 3.9 (190)
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Theorem 3.10 (191)
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Perpendicular Transversal Theorem (192)
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Lines Perpendicular to a Transversal Theorem (192)
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Chapter 4:
CONCEPTS
Classify Triangles by Sides (217)
Scalene
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Isosceles
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Equilateral
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Classify Triangles by Angles (217)
Acute
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Right
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Obtuse
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Equiangular
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Coordinate Notation for a Translation (273)
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Coordinate Notation for a Reflection (273)
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PROPERTIES
Reflexive Property of Triangle Congruence (228)
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Symmetric Property of Triangle Congruence (228)
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Transitive Property of Triangle Congruence (228)
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POSTULATES
Side-Side-Side (SSS) Congruence Postulate (234)
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Side-Angle-Side (SAS) Congruence Postulate (240)
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Angle-Side-Angle (ASA) Congruence Postulate (249)
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THEOREMS
Triangle Sum Theorem (218)
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Exterior Angle Theorem (219)
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Corollary to the Triangle Sum Theorem (220)
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Corresponding Parts of Congruent Triangles are Congruent (CPCTC) (225)
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Third Angles Theorem (227)
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Hypotenuse-Leg (HL) Congruence Theorem (241)
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Angle-Angle-Side (AAS) Congruence Theorem (249)
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Base Angles Theorem (264)
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Converse of Base Angles Theorem (264)
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Corollary to Base Angles Theorem (265)
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Corollary to Converse of Base Angles Theorem (265)
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Chapter 5:
THEOREMS
Mid-Segment Theorem (295)
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Perpendicular Bisector Theorem (303)
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Converse of the Perpendicular Bisector Theorem (303)
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Concurrency of Perpendicular Bisectors of a Triangle Theorem (305)
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Angle Bisector Theorem (310)
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Converse of the Angle Bisector Theorem (310)
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Concurrency of Angle Bisectors of a Triangle Theorem (312)
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Concurrency of Medians of a Triangle Theorem (319)
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Concurrency of Altitudes of a Triangle Theorem (320)
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Theorem 5.10 (328)
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Theorem 5.11 (328)
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Triangle Inequality Theorem (330)
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Hinge Theorem (335)
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Converse of the Hinge Theorem (335)
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Chapter 6:
CONCEPTS
Geometric Mean (359)
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Corresponding Lengths in Similar Polygons (375)
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Coordinate Notation for a Dilation (409)
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PROPERTIES
Cross Products Property (358)
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Reciprocal Property (364)
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POSTULATES
Angle-Angle Similarity Postulate (381)
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THEOREMS
Perimeters of Similar Polygons (374)
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Side-Side-Side Similarity Theorem (388)
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Side-Angle-Side Similarity Theorem (390)
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Triangle Proportionality Theorem (397)
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Converse of the Triangle Proportionality Theorem (397)
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Theorem 6.6 (398)
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Theorem 6.7 (398)
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Chapter 7:
CONCEPTS
Pythagorean Triples and their multiples (435)
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THEOREMS
Pythagorean Theorem (433)
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Converse of the Pythagorean Theorem (441)
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Theorem 7.3 (442)
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Theorem 7.4 (442)
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Theorem 7.5 (449)
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Geometric Mean (Altitude) Theorem (453)
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Geometric Mean (Leg) Theorem (453)
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