## Plane Geometry |

### From inside the book

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Page ix

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**RIGHT**TRIANGLES 91 PARALLEL LINES 94**ANGLE**- SUM . 102 PARALLELOGRAMS 111 THE TRANSVERSAL THEOREM , TRAPEZOIDS 119 INEQUALITIES 124 COLLINEARITY AND CONCURRENCE 134 BOOK II . THE CIRCLE PAGE PRELIMINARY PROPOSITIONS 143 CHORDS ix. Page 17

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**right angle**is an angle such that the adjacent angle formed by extending one of its sides beyond the vertex is equal to it . Thus , in the figure , ∠BOC is a**right angle**. 27. A**right angle**is half of a**straight angle**. Why ? 28. All right ... Page 18

... angle is an angle less than a

... angle is an angle less than a

**right angle**, as the angle COD . 34. An obtuse angle is an angle greater than a**right angle**but less than a**straight angle**, as angle AОВ . 35. A reflex angle is an angle greater than a**straight angle**but less ... Page 19

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**right angle**are said to be complementary . Each of the angles is called the complement of the other . D 0 C B a Thus ∠BOC is the complement of ∠COD ; also ∠a is the complement of ... angles are equal , how do their ANGLE - PAIRS 19. Page 21

... angles are together equal to three

... angles are together equal to three

**right angles**. 13. Through the vertex of a**right angle**draw a straight line falling with- out the angle . Prove that the two acute angles formed are complė- mentary . 14. In the figure ∠a is the ...### Common terms and phrases

ABCD acute angle altitude angles are equal base angles bisects called central angle chord circumscribed polygon congruent COROLLARY determined diagonals diameter distance divided Draw drawn equal angles equilateral triangle EXERCISES exterior angles figure Find the area Find the length geometry given circle given line given point Given the triangle given triangle Hence homologous homologous sides hypotenuse intercepted interior interior angles isosceles trapezoid isosceles triangle joining legs line-segment locus measured method mid-points number of sides obtuse octagon opposite sides parallelogram perimeter perpendicular bisector plane point equidistant PROBLEM produced Proof PROPOSITION protractor prove quadrilateral radii radius ratio rectangle regular inscribed polygon regular polygon rhombus right angle right triangle round angle segment semicircle Show similar triangles straight angle straight line subtended tangent THEOREM third side trapezoid triangle ABC vertex angle vertices

### Popular passages

Page 247 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Page 79 - In an isosceles triangle the angles opposite the equal sides are equal.

Page 293 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.

Page 207 - If two triangles have an angle of one equal to an angle of the other, and...

Page 151 - In the same circle, or in equal circles, if two chords are unequally distant from the center, they are unequal, and the chord at the less distance is the greater.

Page 131 - ... the third side of the first is greater than the third side of the second.

Page 257 - If two chords intersect within a circle, the product of the segments of one chord is equal to the product of the segments of the other.

Page 105 - A line drawn from the vertex of the right angle of a right triangle to the middle point of the hypotenuse divides the triangle into two isosceles triangles.

Page 138 - The medians of a triangle meet in a point which is two thirds of the distance from each vertex to the middle of the opposite side.

Page 119 - If three or more parallels intercept equal parts on one transversal, they intercept equal parts on every transversal. Given the parallels AB, CD, and EF intercepting equal parts on the transversal MN.