 | American fiction - 1896 - 564 pages
...proof. Mr. Venable's proof of the same proposition is about as follows : The two triangles BAG, ACE, have the three sides of the one equal to the three sides of the other, each to each,, therefore they are equal ; hence, the angle BCA, opposite the side AB, is equal to the... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...double of /.F, and if the bisector of /.G meets FH in K, prove that FK = GK = GH. G. 3. THEOREM 14. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. Data ABC, DEF are two triangles which have BC = EF, CA=... | |
 | Education - 1903 - 692 pages
...If two sides of a triangle are equal the angles opposite to "** sides are equal ; and the converse. If two triangles have the three sides of the one equal to the 'k'te sides of the other, 'each to each, the triangles are continent. If two right-angled triangles... | |
 | 1903 - 898 pages
...straight lines which form it 1 How would you test whether two given angles are equal to one another ? 2. If two triangles have the three sides of the one equal to thethree sides of the other, prove that the triangles areequal in all respects. 3. A quadrilateral... | |
 | Ed - 1905 - 272 pages
...right angles. If the interior angle of a regular polygon is 140°, calculate the number of sides. (2) If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. ABCD is a quadrilateral in which AB = CD and AD = BC, show... | |
 | University of Allahabad - 1907 - 528 pages
...two sides of a triangle are equal, the angles opposite to these sides are equal ; and the converse. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. If two sides of a triangle are unequal, the greater side... | |
 | University of Allahabad - 1908 - 568 pages
...two sides of a triangle are equal, the angles opposite to these sides are equal ; and the converse. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. If two right-angled triangles have their hypotenuses equal,... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...and is most commonly used in demonstrating the converse of some foregoing theorem. THEOREM 7. [Euclid I. 8.] if two triangles have the three sides of the one equal to the three rides of the other, each to each, they are equal in all respects. Let ABC, DEF be two triangles in... | |
 | Mathematics - 1909 - 605 pages
...two sides of a triangle are equal, the angles opposite to these sides are equal; and the converse. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. If two right-angled triangles have their hypotenuses equal,... | |
 | Education - 1911 - 1334 pages
...points of two sides of a triangle is parallel to the third side. New Text. 1. If two triangles have three sides of the one equal to the three sides of the other, each to each, they are equal in all respects. 2. If two triangles have two sides of the one equal to... | |
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If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. 
