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" In an isosceles triangle the angles opposite the equal sides are equal. "
Elements of Plane and Solid Geometry - Page 46
by George Albert Wentworth - 1877 - 398 pages
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Proceedings of the High School Conference of November 1910-November 1931

High schools - 1917 - 404 pages
...equals angle B. Homologous angle Sec. 94. 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...
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First Book in General Mathematics

Mathematics - 1917 - 284 pages
...say that two lines are equal by identity, means that they are really the same line. 77b. Theorem : In an isosceles triangle the angles opposite the equal sides are equal. Given: Let ISC be an isosceles triangle, having IS SC. To Prove: ZI = Z C. Proof: Let SF be drawn so...
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Bulletin, Issues 17-19

Education - 1917 - 786 pages
...equals angle B. Homologous angle Sec. 94. 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 fignre required by theorem and check...
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Plane Geometry, with Problems and Application

Herbert Ellsworth Slaught - 1918 - 344 pages
...= Z B'. This is indicated as shown in Fig. 2. BASE ANGLES OF AN ISOSCELES TRIANGLE 109. THEOREM IV. In an isosceles triangle the angles opposite the equal sides are equal. o D Given A ABC in which sides AC and BC are equal. To prove that £A = ZB. Proof : Let CD be the bisector...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...construct an isosceles triangle when the base and one of the equal sides are given. § 86. Theorem. In an isosceles triangle, the angles opposite the equal sides are equal. § 87. Theorem. An equilateral triangle is also equiangular. § 88. Theorem. Each angle of an equilateral...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...indicated as shown in Fig. 2. PLANE GEOMETRY: BOOK I BASE ANGLES OF AN ISOSCELES TRIANGLE 109. THEOREM IV. In an isosceles triangle the angles opposite the equal sides are equal. Given A ABC in which sides AC and BC are equal. To prove that £A = ZB. Proof : Let CD be the bisector...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...construct an isosceles triangle when the base and one of the equal sides are given. (Fig. 3.) 86. Theorem. In an isosceles triangle, the angles opposite the equal sides are equal. Given the isosceles triangle ABD having AB = DB. To prove ZA = ZD. Proof. Draw BC bisecting ZABD. Show...
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Junior High School Mathematics, Book 1

Edson Homer Taylor, Fiske Allen - Mathematics - 1919 - 244 pages
...of the angles of a triangle equals 180°. II. The angles of an equilateral triangle are equal. III. In an isosceles triangle the angles opposite the equal sides are equal. IV. In any triangle if two sides are unequal, the angles opposite those sides are unequal and the angle...
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Modern Junior Mathematics, Book 3

Marie Gugle - Mathematics - 1920 - 268 pages
...usually drawn as dotted lines. Such construeX. Demonstration PROPOSITION III Theorem: ISOSCELES TRIANGLE In an isosceles triangle, the angles opposite the equal sides are equal* Si Given the isosceles triangle ABC, with AC equal to BC. To prove /.A = Z5. Proof. Method,^ A, S -...
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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...angle of one are equal respectively to the hypotenuse and an adjacent angle of the other. Prop. 12. In an isosceles triangle the angles opposite the equal sides are equal. Prop. 12, Cor. An equilateral triangle is also equiangular. Prop. 13. The bisector of the vertical...
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