Geometry Vocabulary Book

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Transcription:

Geometry Vocabulary Book Units 2-4 Page 1

Unit 2 General Geometry Point Characteristics: Line Characteristics: Plane Characteristics: RELATED POSTULATES: Through any two points there exists exactly one line. A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane. A plane contains at least three non-collinear points. If two planes intersect, then their intersection is a line. Page 2

Unit 2 General Geometry Segment RELATED POSTULATES AND THEOREMS Segment Addition Postulate Properties of Segment Congruence Reflexive: Symmetric: Transitive: Page 3

Unit 2 General Geometry Ray Opposite Rays Intersection Two Planes Two Lines Plane and Line Page 4

Unit 2 General Geometry Midpoint Segment Bisector Distance Formula Midpoint Formula Right Triangle Pythagorean Theorem Theorem Page 5

Unit 2 General Geometry Transformations Image Isometry Translation Theorem Vector Page 6

Unit 2 General Geometry Algebraic Properties Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Substitution Property of Equality Distributive Property Reflexive Property of Equality Symmetric Property of Equality Transitive Property of Equality Page 7

Unit 3 Angles Angle RELATED POSTULATES AND THEOREMS Protractor Postulate Angle Addition Postulate Properties of Angle Congruence Reflexive: Symmetric: Transitive: Page 8

Unit 3 Angles Angle Classifications Acute Obtuse Right Straight Congruent Angles Right Angles Congruent Theorem Angle Bisector Page 9

Unit 3 Angles Complementary Angles Congruent Complements Theorem Supplementary Angles Congruent Supplements Theorem Adjacent Angles Page 10

Unit 3 Angles Linear Pair Linear Pair Postulate Vertical Angles Vertical Angle Congruence Theorem Page 11

Unit 4 Lines Parallel Lines RELATED POSTULATES AND THEOREMS Parallel Postulate Transitive Property Of Parallel Lines Slopes Of Parallel Lines Page 12

Unit 4 Lines Perpendicular Lines RELATED POSTULATES AND THEOREMS Perpendicular Postulate Slopes Of Perpendicular Lines Other Theorems If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. If two lines are perpendicular, then they intersect to form four right angles. If two sides of two adjacent acute angles are perpendicular, then the angles are complementary. Page 13

Unit 4 Lines Transversal Perpendicular Transversal Theorem Lines Perpendicular to a Transversal Theorem Skew Lines Page 14

Unit 4 Lines Parallel Planes Corresponding Angles Corresponding Angles Postulate Corresponding Angles Converse Page 15

Unit 4 Lines Alternate Interior Angles Alternate Interior Angles Theorem Alternate Interior Angles Converse Alternate Exterior Angles Page 16

Unit 4 Lines Alternate Exterior Angles Theorem Alternate Exterior Angles Converse Consecutive Interior Angles Consecutive Interior Angles Theorem Consecutive Interior Angles Converse Page 17

INDEX Acute Angle (p 9) Adjacent Angles (p 10) Algebraic Properties (p 7) Alternate Exterior Angles (p 16) Alternate Exterior Angles Converse (p 17) Alternate Exterior Angles Theorem (p 17) Alternate Interior Angles (p 16) Alternate Interior Angles Converse (p 16) Alternate Interior Angles Theorem (p 16) Angle (p 8) Angle Addition Postulate (p 8) Angle Bisector (p 9) Complementary Angles (p 10) Congruent Angles (p 9) Congruent Complements Theorem (p 10) Congruent Supplements Theorem (p 10) Consecutive Interior Angles (p 17) Consecutive Interior Angles Converse (p 17) Consecutive Interior Angles Theorem (p 17) Corresponding Angles (p 15) Corresponding Angles Converse (p 15) Corresponding Angles Postulate (p 15) Distance Formula (p 5) Image (p 6) Intersection (p 4) Isometry (p 6) Line (p 2) Linear Pair (p 11) Linear Pair Postulate (p 11) Lines Perpend. to a Transversal Theorem (p 14) Midpoint (p 5) Midpoint Formula (p 5) Obtuse Angle (p 9) Opposite Rays (p 4) Other Perpendicular Theorems (p 13) Parallel Lines (p 12) Parallel Planes (p 15) Parallel Postulate (p 12) Perpendicular Lines (p 13) Perpendicular Postulate (p 13) Perpendicular Transversal Theorem (p 14) Plane (p 2) Point (p 2) Properties of Angle Congruence (p 8) Properties of Segment Congruence (p 3) Protractor Postulate (p 8) Pythagorean Theorem (p 5) Ray (p 4) Right Angle (p 9) Right Angles Congruent Theorem (p 9) Right Triangle (p 5) Segment (p 3) Segment Addition Postulate (p 3) Segment Bisector (p 5) Skew Lines (p 14) Slopes of Parallel Lines (p 12) Slopes of Perpendicular Lines (p 13) Straight Angle (p 9) Supplementary Angles (p 10) Transformations (p 6) Transitive Property Of Parallel Lines (p 12) Translation Theorem (p 6) Transversal (p 14) Vector (p 6) Vertical Angle Congruence Theorem (p 11) Vertical Angles (p 11) Page 18

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