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 acute angle ADEF adjacent angles alternate interior angles altitude angle bisector angle opposite angle whose measure angles are congruent angles are equal base angles congruent segments Congruent Triangles Corollary corresponding angles corresponding sides Deduction Defined and Undefined Definition denoted diagonals endpoints equal measure equal quantities equivalence relation Exam false given line Inductive Reasoning isosceles trapezoid legs length line segment lines are called lines are cut lines are parallel major premise measure of side median midline midpoint opposite side pairs of corresponding paral parallelogram are equal perpendicular bisector plane Postulate proportion real number rectangle RESEARCH & EDUCATION rhombus right angle right triangle second triangle side adjacent side is called side opposite sides of adjacent similar polygons similar triangles statement supplementary supplementary angles Theorem Theorem 9 third side triangle are equal triangle is greater triangles are congruent triangles are similar true undefined terms unequal quantities vertex ZABC