Plane Geometry: And Supplements |
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Page 392
... meeting BC at Y ; EX 1 AC , meeting BC at X. Prove that DY = EX . 62. In ∆ABC , ZA = 90 ° ; BD the bisector of ∠B meets AC at D ; DE BC at E. Prove that AB = BE . 63. In ∆ABC , AB = BC ; AB is extended through B to K , and CB through ...
... meeting BC at Y ; EX 1 AC , meeting BC at X. Prove that DY = EX . 62. In ∆ABC , ZA = 90 ° ; BD the bisector of ∠B meets AC at D ; DE BC at E. Prove that AB = BE . 63. In ∆ABC , AB = BC ; AB is extended through B to K , and CB through ...
Page 401
... meeting BP at Y. YZ is drawn parallel to BC , meeting PC at Z. XZ is drawn . Prove XYZ ~ △ AВС . ☆ 169 . ДАВC is inscribed in a circle having diameter AC . BD , the bisector of ∠B , meets AC at D and the circle at E. ( a ) Prove BA ...
... meeting BP at Y. YZ is drawn parallel to BC , meeting PC at Z. XZ is drawn . Prove XYZ ~ △ AВС . ☆ 169 . ДАВC is inscribed in a circle having diameter AC . BD , the bisector of ∠B , meets AC at D and the circle at E. ( a ) Prove BA ...
Page 405
... meeting DE ex- tended at F , and G. BFGC = ДАВС . Con . 219. In XYZW , place O on diagonal YW ; through O draw AC || XW , meeting YX at A and ZW at C ; through O draw BD || XY , meeting YZ at B and XW at D. Prove AODX = □ BOCZ . 220 ...
... meeting DE ex- tended at F , and G. BFGC = ДАВС . Con . 219. In XYZW , place O on diagonal YW ; through O draw AC || XW , meeting YX at A and ZW at C ; through O draw BD || XY , meeting YZ at B and XW at D. Prove AODX = □ BOCZ . 220 ...
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