## Geometry I EssentialsREA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Geometry I includes methods of proof, points, lines, planes, angles, congruent angles and line segments, triangles, parallelism, quadrilaterals, geometric inequalities, and geometric proportions and similarity. |

### Contents

Method of Proof | 1 |

Points Lines Planes and Angles | 10 |

Congruent Angles and Congruent Line Segments | 23 |

Triangles and Congruent Triangles | 27 |

Parallelism | 47 |

Quadrilaterals | 53 |

Geometric Proportions and Similarity | 68 |

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### Common terms and phrases

AABC ABCD acute angle ADEF adjacent angles alternate interior angles altitude angles are equal base bisector bisects called Chapter circle conclusion converse Corollary corresponding angles corresponding sides Deduction Definition denoted diagonals distance divides endpoints equal quantities equilateral Essentials Exam exterior false Figure formula geometric given greater hypotenuse Inequalities interior angles intersect isosceles legs length letters line segment lines are cut means measure measure of side median Note opposite side pairs of corresponding paral parallel lines parallelogram perpendicular perpendicular bisector plane polygons possible Postulate premise problems Properties proportion quadrilateral ratio reasoning rectangle referred reflexive relation respectively rhombus right angle right triangle side opposite square statement straight Student supplementary Test Theorem third side transitive transversal trapezoid triangle are equal triangles are congruent triangles are similar true vertex vertices