 | Education - 1921 - 970 pages
...pupil makes three discoveries: AD = DB, ZADB= ZCDB, ZA= ZC. These he next translates into English: (1) The bisector of the vertex angle of an isosceles triangle bisects the base. (2) The ' bisector of the vertex angle of an isosceles triangle is perpendicular to the base. (3) The... | |
 | Ernst Rudolph Breslich - Mathematics - 1909 - 402 pages
...with the corresponding point of the other. 2. Draw the axis of symmetry of an isosceles triangle. 3. Show that the bisector of the vertex angle of an isosceles triangle is the axis of symmetry. Show how some of the properties of an isosceles triangle stated in ยง 293... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...triangle and draw the bisectors of the interior angles, producing each to meet the opposite side. 2. Prove that the bisector of the vertex angle of an isosceles triangle bisects the base and is perpendicular to it. 3. Prove that the bisectors of the base angles of an isosceles triangle,... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...triangle and draw the bisectors of the interior angles, producing each to meet the opposite side. 2. Prove that the bisector of the vertex angle of. an isosceles triangle bisects the base and is perpendicular to it. 3. Prove that the bisectors of the base angles of an isosceles triangle,... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...COROLLARY. An equilateral triangle is equiangular. Proof. Use proposition III. PROPOSITION IV. 70. THEOBEM. The bisector of the vertex angle of an isosceles triangle bisects the base and is perpendiculur to the base. V -ac Given A ABC, with AB = AC and Z MAB = Z MAC. To Prove BM =... | |
 | George Clinton Shutts - Geometry - 1913 - 494 pages
...of the vertex angle of an isosceles triangle bisects the base and is perpendicular to the base. COR. The bisector of the vertex angle of an isosceles triangle bisects the triangle. 71. DISTANCE. The length of the sect joining two points is the distance between these points.... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...(a) Show rt. A PST and MST are congruent; or (6) show rt. &RSM and RPT are congruent. Ex. 5. Prove that the bisector of the vertex angle of an isosceles triangle bisects the base at right angles. 68. Homologous parts. Triangles are proved congruent in order that their homologoue... | |
 | William Betz - Geometry - 1916 - 536 pages
...triangle and draw the bisectors of the interior angles, producing each to meet the opposite side. 2. Prove that the bisector of the vertex angle of an isosceles triangle bisects the base and is perpendicular to it. 3. Prove that the bisectors of the base angles of an isosceles triangle,... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...in the right-hand column. Hence, the proof as thus far worked out will appear as follows : Ex. Prove that the bisector of the vertex angle of an isosceles triangle bisects the base. C ADB Given AA BC with AC = BC ; and ZA CB bisected by CD. To prove AD = DB. Proof (FIRST STAGE) CD... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...figures are equal.) QE I). 110. COROLLARY 1. An equilateral triangle is equiangular. 111. COROLLARY 2. The bisector of the vertex angle of an isosceles triangle bisects the base and is perpendicular to it. For, by the above proof, A ACD = A BCD. RECTILINEAR FIGURES 112. COROLLARY... | |
| |
Prove that the bisector of the vertex angle of an isosceles triangle bisects the base and is perpendicular to it. 
