## 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

Section 1 | 4-16 |

Section 2 | 4-19 |

Section 3 | 4-20 |

Section 4 | 4-43 |

Section 5 | 12 |

Section 6 | 13 |

Section 7 | 8-4 |

Section 8 | 8-7 |

Section 9 | 8-17 |

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### Common terms and phrases

AABC acute angle adjacent angles alternate interior angles altitude angles are equal base bisector bisects called CHAPTER circle conclusion containing converse Corollary corresponding angles corresponding sides deduced Definition denoted diagonals distance divides endpoints equal measure equal quantities equilateral triangle Essentials EXAMPLE Exams exterior false formula four geometric given hypotenuse Inequalities interior angles intersect isosceles length letter line segment lines are cut major premise Mathematics means measure of side midpoint Note opposite side pairs of corresponding parallel lines parallelogram perpendicular perpendicular bisector plane polygon possible Postulate problems Properties proportion quadrilateral ratio rectangle referred reflexive relation respectively rhombus right angle right triangle second triangle side opposite square statement Student supplementary symmetric Test Theorem 6 Figure third side transitive transversal trapezoid triangle are equal triangles are congruent triangles are similar true unequal unequal quantities vertex vertices written