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" If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular. "
Elements of Geometry and Trigonometry: With Notes - Page 243
by Adrien Marie Legendre - 1830 - 316 pages
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Modern Mathematics: Seventh-[eighth] Year, Volume 2

Raleigh Schorling, John Roscoe Clark - Mathematics - 1925 - 332 pages
...triangle, which of the following principles of similar triangles was used ? (a) Two triangles are similar if two angles of one triangle are equal to two angles of the other. (6) Two triangles are similar if the ratio of one pair of corresponding sides equals the...
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Advanced Mathematics for Electronics Technicians

United States. Bureau of Naval Personnel - Electronics - 1951 - 334 pages
...do not have to measure all the sides and angles of both figures. Figure 58.—Similar triangles. 65. If two angles of one triangle are equal to two angles of a second triangle you can correctly state that the two triangles are similar. Consider the two triangles...
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Mathematics, Volume 1

United States. Bureau of Naval Personnel - Mathematics - 1951 - 280 pages
...''B'C' Are the ratios equal? What is the fixed (constant) ratio? Thus — Two triangles are similar if two angles of one triangle are equal to two angles of the other triangle. And in similar triangles the ratios of corresponding sides are equal. To construct...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...corresponding sides of a second triangle, the triangles are similar. Two triangles are similar if, and only if, two angles of one triangle are equal to two angles of the other triangle. The altitude on the hypotenuse of a right triangle is the mean proportional between...
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Geometry I Essentials

The Editors of REA - Mathematics - 2013 - 112 pages
...ratio of corresponding sides of similar polygons. — = . BC EF Two triangles are similar if, and only if, two angles of one triangle are equal to two angles of the other triangle. The altitude on the hypotenuse of a right triangle is the mean proportional between...
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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - Mathematics - 1997 - 370 pages
...equal to two right angles," are equivalent. 3.1.6 Replacing Euclid's fifth postulate by the assumption, "If two angles of one triangle are equal to two angles of another triangle, then the third angles are also equal," show that the sum of the angles of a triangle is always...
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Basic College Mathematics: An Applied Approach

Richard N. Aufmann, Vernon C. Barker, Joanne S. Lockwood - Mathematics - 1999 - 682 pages
...THE CONCEPTS 19. Determine whether the statement is always true, sometimes true, or never true. a. If two angles of one triangle are equal to two angles of a second triangle, then the triangles are similar triangles. Always true b. Two isosceles triangles...
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The American Practical Navigator: An Epitome of Navigation

Nathaniel Bowditch - Nautical astronomy - 2002 - 924 pages
...supplementary to the adjacent interior angle and is therefore equal to the sum of the two non adjacent angles. If two angles of one triangle are equal to two angles of another triangle, the third angles are also equal, and the triangles are similar. If the area of one triangle...
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Connections Maths 8

Edward Duffy, Lorraine Mottershead, G. Murty - Juvenile Nonfiction - 2003 - 670 pages
...and ZYand write the ratio CB : ZY. AB AC CB f Does— = — = — ? 9 Are the triangles similar? h If two angles of one triangle are equal to two angles of another, are the triangles similar? Construct two triangles, one with sides 3 cm, 5 cm and 7 cm, the other with...
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GMAT Prep Course

Jeff Kolby - Study Aids - 2024 - 586 pages
...D. ABC 21. If E is the midpoint of AD, what is the length of EB? (1) ZD = 60° Recall from geometry that if two angles of one triangle are equal to two angles of another triangle then the triangles are similar. Hence, AACD is similar to kABE since they share angle A and...
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