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" A', ZB = Z B', ZC = Z C". The first two statements cannot be true, for the sum of the angles of the two triangles would exceed four right angles. Therefore, two angles of one triangle are equal to two angles of the other. "
Mathematics - Page 193
by United States. Bureau of Naval Personnel - 1951
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Connections Maths 10: Stage 5.2/5.1

Ajit Kalra, James Stamell - Juvenile Nonfiction - 2006 - 542 pages
...of the following, write the third condition needed to prove that the two triangles are congruent: a Two angles of one triangle are equal to two angles of the other triangle. b Two sides of one triangle are equal to two sides of the other triangle. с The hypotenuse of one...
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Connections Maths, Volume 9

Ajit Kalra, James Stamell - Juvenile Nonfiction - 2004 - 616 pages
...of the following, write the third condition needed to prove that the two triangles are congruent: a Two angles of one triangle are equal to two angles of the other triangle. b Two sides of one triangle are equal to two sides of the other triangle. c The hypotenuse of one right-angled...
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Preliminary General Mathematics: Revision & Exam Workbook

A. S. Kalra - Juvenile Nonfiction - 2004 - 252 pages
...MATHEMATICS Solving problems involving similar triangles QUESTION 1 Complete the following sentences. a Two triangles are similar if two angles of one triangle are equal to b Two triangles are similar if their corresponding sides are in the c Two triangles are similar if...
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GMAT Prep Course

Jeff Kolby - Study Aids - 2024 - 586 pages
...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...
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GRE Prep Course

Jeff Kolby - Education - 2021 - 612 pages
...the area is —-bh = —- 2-\/3~ • 3 = 3V3~ • The answer is (C). 37. 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 AABE since they share angle...
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Geometry I

118 pages
...transversals are proportional. 9. If the areas of two similar triangles are equal, they are congruent. 10. Two triangles are similar if two angles of one triangle are equal to two angles of another triangle. 11. Prove that the line drawn from the midpoint of one side of a triangle that is...
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Year 10 Intermediate Mathematics: Stage 5.2

Lyn Baker - Juvenile Nonfiction - 2005 - 168 pages
...triangle and the included angles are equal, then the triangles are similar. ¿B = ¿E AB DE BC EF 2 3 If two angles of one triangle are equal to two angles of another triangle then the triangles are similar. ¿A = LE, ¿В = Lf .: ДАВС ||| AEFD In fact LC...
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SAT Prep Course EBook

Jeff Kolby - Reference - 2021 - 590 pages
...E is the midpoint of AD. What is the length of EB1 1 2 11/5 (D) 5/2 (E) 3 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 AABE1 since they share angle...
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First Steps for Math Olympians: Using the American Mathematics Competitions

J. Douglas Faires - Mathematics - 2006 - 344 pages
.../.D, ZB = ZE, and ZC = ZF. F f Some particularly useful results concerning similar triangles are: • Two triangles are similar if two angles of one triangle are equal to two angles of the other triangle. • Similar triangles have proportional sides, that is, in triangles ABC and DEF abc BC AC AB - = -...
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Year 10 Advanced Mathematics: Stage 5.3

Lyn Baker - Juvenile Nonfiction - 2006 - 182 pages
...sides opposite those angles are g If all sides of a quadrilateral are equal the quadrilateral is a h If two angles of one triangle are equal to two angles of another triangle the two triangles are i If three sides of one triangle are equal to three sides of...
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