| Edson Homer Taylor, Fiske Allen - 1923 - 104 σελίδες
...distances from the foot of the perpendicular, are equal and make equal angles with the perpendicular. 20. If two angles of one triangle are equal to two angles of another triangle respectively, then the third angle of the first is equal to the third angle of the second.... | |
| Raleigh Schorling, John Roscoe Clark - 1925 - 332 σελίδες
...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... | |
| United States. Bureau of Naval Personnel - 1951 - 334 σελίδες
...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... | |
| United States. Bureau of Naval Personnel - 1951 - 280 σελίδες
...''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... | |
| Research & Education Association Editors, Ernest Woodward - 2012 - 1080 σελίδες
...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... | |
| The Editors of REA - 2013 - 112 σελίδες
...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... | |
| Howard Whitley Eves - 1997 - 370 σελίδες
...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... | |
| Richard N. Aufmann, Vernon C. Barker, Joanne S. Lockwood - 1999 - 682 σελίδες
...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... | |
| Nathaniel Bowditch - 2002 - 924 σελίδες
...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... | |
| Edward Duffy, Lorraine Mottershead, G. Murty - 2003 - 670 σελίδες
...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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