## Plane Geometry: And Supplements |

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**altitude**6 , and parallelogram T has base 24 and**altitude**6 , then : R = T ( b ) Two rectangles or parallelograms are to each other as the products of their bases and**altitudes**. Proof . S1 abı = S2 a2b2 ( Why ? ) Example . If ...Page 348

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**altitude**" and " base " in measurement problems are used as abbreviations for length of the**altitude**and area of the base ; also that " area " of a polygon is an abbreviation for area of the interior of the polygon . Similarly " volume ...Page 403

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**altitude**drawn to the base ? 199. The legs of a right triangle are 5 in . and 12 in . How long are the segments of the hypotenuse made by the**altitude**to the hypotenuse ? 200. In Ex . 199 , how long is the**altitude**to the hypotenuse ...### Contents

g The optional units from analytic geometry are included for three | 1 |

LinesAnglesPlanes | 11 |

W W | 24 |

Copyright | |

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### Common terms and phrases

ABCD acute angle adjoining figure altitude angle formed angles are equal apothem bisector bisects central angle chord conclusion congruent Construct converse coplanar corresponding sides diagonals diameter dihedral Draw drawn equal circles equidistant equilateral triangle exercises extended exterior angle figure for Ex Find frustum geometry given hypotenuse Hypothesis Informal proof inscribed intersect isosceles trapezoid isosceles triangle kind of angle lateral area length locus of points mean proportional measure meeting mid-point opposite sides parallel parallelogram perimeter perpendicular perpendicular-bisector Plan plane plane geometry Post postulate prism Prove pyramid quadrilateral radii radius ratio rectangle regular polygon rhombus right angle right circular right triangle secant segment similar sphere square Statements straight line Suggestion tangent theorem trapezoid trihedral angle vertex vertical angles Нур