Plane Geometry |
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Page 115
... vertices of a triangle parallel to the opposite sides of the triangle , they form a triangle whose sides are bisected by the vertices of the original triangle ; also the new triangle is four times as large as the original triangle . 8 ...
... vertices of a triangle parallel to the opposite sides of the triangle , they form a triangle whose sides are bisected by the vertices of the original triangle ; also the new triangle is four times as large as the original triangle . 8 ...
Page 324
... vertices is less than the sum of the three sides of the triangle . Suggestions . 1. Let O within AABC be joined to A , B , and C. 2. OA + OB < AC + BC . ( See Ex . 5 , p . 121. ) 3. Similarly express OB + OC and also OC + OA . 4. Add ...
... vertices is less than the sum of the three sides of the triangle . Suggestions . 1. Let O within AABC be joined to A , B , and C. 2. OA + OB < AC + BC . ( See Ex . 5 , p . 121. ) 3. Similarly express OB + OC and also OC + OA . 4. Add ...
Page 332
... vertices of quadrilateral ABCD are joined to a point O lying outside the quadrilateral . Points A ' , B ' , C ' , and D ' are taken on OA , OB , OC , and OD , respectively , so that A'B ' || AB , B'C ' || BC , and C'D ' || CD . Prove A ...
... vertices of quadrilateral ABCD are joined to a point O lying outside the quadrilateral . Points A ' , B ' , C ' , and D ' are taken on OA , OB , OC , and OD , respectively , so that A'B ' || AB , B'C ' || BC , and C'D ' || CD . Prove A ...
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Common terms and phrases
AABC ABCD ADDITIONAL EXERCISES ADEF adjoining figure altitude angle formed angles are equal apothem ARST AXYZ base angles bisector bisects central angle chord circumscribed conclusion corresponding sides cuts diagonals diameter Draw drawn equal angles equal circles equal sides equidistant equilateral triangle EXERCISES FOR CHAPTER extended exterior angle figure for Ex Find the area geometry hypotenuse Hypothesis inscribed inscribed angle intersect isosceles trapezoid isosceles triangle Locate locus of points mean proportional measure median meeting AC mid-point opposite sides parallelogram perimeter perpendicular perpendicular-bisector Plan plane Proof Prove pupil quadrilateral radii radius ratio rectangle regular hexagon regular polygon rhombus right angle right triangle secant similar triangles square STATEMENTS REASONS straight line Suggestion tangent theorem vertex angle vertices XYZW ZAOB