 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...formed by the equal sides is the vertical angle of the isosceles triangle. PROPOSITION III. THEOREM 69- In an isosceles triangle, the angles opposite the equal sides are equal. B Hypothesis. In A ABC, AC = BC. Conclusion. Z. A = Z B. Flan. Prove ZA and ZB homologous A of cong.... | |
 | Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...other, the triangles are congruent. Isosceles Triangles. Equilateral Triangles. Definition. Theorem VII. In an isosceles triangle the angles opposite the equal sides are equal. Corollary. If a triangle is equilateral it is also equiangular. Perpendicular lines. Definition. •... | |
 | University of Illinois (Urbana-Champaign campus). College of Education - 1916 - 748 pages
...equals angle B. Homologous angle Sec. 04. Q :E :D :" Discussion as found in our own manual. "Ex. 64-T. In an isosceles triangle the angles opposite the equal sides are equal. 1. Read the theorem and underscore the important words. Draw the figure required by theorem and check... | |
 | Thomas J. Foster - Coal mines and mining - 1916 - 1230 pages
...sum of the lengths of any two sides of a triangle is greater than the length of the third side. 9. In an isosceles triangle, the angles opposite the equal sides are equal. 10. In any triangle, the sum of the three angles is equal to two right angles, or 180°. 11. If two... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...surface of the sphere into eight congruent tri-rectangular triangles. PROPOSITION XXVII. THEOREM 711. In an isosceles triangle, the angles opposite the equal sides are equal. _D Hypothesis. In spherical triangle ABC, AB = AC. Conclusion. /-B = ZC. Suggestion. — Let AD, an... | |
 | William Betz - Geometry - 1916 - 536 pages
...5. .•.ZB = ZC. Ax. 1 (Each being equal to £B'.) REMARK. Proposition III may also be stated thus : In an isosceles triangle the angles opposite the equal sides are equal. 139. COROLLARY.* An equilateral triangle is also equiangular. For any side may be regarded as the base... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...before we have learned how to construct a bisector with ruler and compasses. PROPOSITION IV. THEOREM 99. In an isosceles triangle, the angles opposite the equal sides are equal. ADB Given the isosceles A ABC, with CA — CB. To prove that ZA = Z B. Proof. 1. Suppose the line CD... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...other, the triangles are congruent. Isosceles Triangles. Equilateral Triangles. Definition. Theorem VII. In an isosceles triangle the angles opposite the equal sides are equal. Corollary. If a triangle is equilateral it is also equiangular. Perpendicular lines. Definition. Corollary.... | |
 | 1916 - 466 pages
...between 3 and 8. GEOMETRY PLANE GEOMETRY (Omit one.) 1. a. State and prove the converse of the theorem: In an isosceles triangle the angles opposite the equal sides are equal. b. Give AB and AC the legs of an isosceles triangle and D any point on AB, prove DC greater than D... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1917 - 264 pages
...equality or inequality of the angles which are opposite the equal sides? Write the statement as follows : In an isosceles triangle the angles opposite the equal sides are equal. 13. Draw three equilateral triangles of different sizes. With a protractor measure each angle in each... | |
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In an isosceles triangle the angles opposite the equal sides are equal. 
