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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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Essentials of Plane Geometry

David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...an isosceles triangle the angles opposite the equal Proposition 2. Isosceles Triangle 42. Theorem. In an isosceles triangle the angles opposite the equal sides are equal. Given the isosceles A ABC with b = c. Prove that ZB = Z C. The plan is to prove two A congruent. Proof....
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Measurement in Higher Education

Ben DeKalbe Wood - Education, Higher - 1923 - 364 pages
...equilateral triangle is equiangular. . . 3. A square is a rectilinear figure having four equal sides. . . 4. In an isosceles triangle the angles opposite the equal sides are equal. . . 5. Two equal angles are two right angles. .. 6. Two triangles are congruent if two angles and the...
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Essentials of Solid Geometry

David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...angles and the corresponding side of another, the triangles are congruent. 8. Angles of a Triangle. 1. In an isosceles triangle the angles opposite the equal sides are equal. 2. If a triangle has two equal angles, the sides opposite these angles are equal. 3. An equilateral...
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The Anderson Arithmetic, Book 3

Robert Franklin Anderson - Arithmetic - 1924 - 344 pages
...the base of DEF. Construct an isosceles triangle with its base 1 in. and each equal side 2 in. E 7. In an isosceles triangle, the angles opposite the equal sides are equal. Test to see that this is true in triangle DEF. 8. Two angles of a triangle are 60° and 70°; what...
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The Alexander-Sarratt Arithmetics, Volume 3

Thomas Alexander, Charles Madison Sarratt - Arithmetic - 1924 - 462 pages
...angle opposite the base. Measure the angles of your isosceles triangle. Which two angles are equal? In an isosceles triangle the angles opposite the equal sides are equal. 4. Draw a right triangle. In a right triangle the side opposite the right angle is called the hypotenuse....
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...in a perpendicular, cutting off equal distances from the foot of the perpendicular, are equal. 19. In an isosceles triangle, the angles opposite the equal sides are equal. 20. If two angles of a triangle are equal, the sides opposite these angles are equal, and the triangle...
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A Study in the Psychology of Learning in Geometry

Winona Merle Perry - Geometry - 1925 - 80 pages
...and leg of one equal respectively to the hypotenuse and a leg of the other, the triangles are equal. In an isosceles triangle, the angles opposite the equal sides are equal. If two right triangles have the hypotenuse and an acute angle of one equal respectively to the hypotenuse...
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The Teaching of Junior High School Mathematics

David Eugene Smith, William David Reeve - Mathematics - 1927 - 426 pages
...three-step proof. Three-Step Exercise. Let us suppose that we ask the pupils to prove the proposition In an isosceles triangle the angles opposite the equal sides are equal. We arrange the discussion in the usual form, as follows : Given the isosceles A ABC with a = b. Prove...
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Maths Matters, Level 4, Module 2, Part 2, Part 3

Competency-based education - 1999 - 116 pages
...properties of triangles • The sum of the interior angles of any triangle is 1 80C AAA a+b+ c=180° • In an isosceles triangle the angles opposite the equal sides are equal. AA a=b The angles of an equilateral triangle are all equal. AAA 13. In the space below draw the following...
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An Introduction to Engineering Mathematics

288 pages
...2, 3, 4, it follows that the remaining elements in any such pair are equal also. 82. Proposition 3. In an isosceles triangle the angles opposite the equal sides are equal. Let ABC (Fig. 35) be an isosceles triangle in which AB = AC. It is required to prove that LB = LG. Construction....
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