COMPLETE THE SENTENCE In AABC and ADEF, AB DE, BC EF, and AC < DE So by the Converse of the Hinge Theorem (Theorem 6.13). 23. One contestant in a catch-and-release fi shing contest spends the Q. explain. how to use a length measure to determine when ∠4 > ∠2 in reattaching the rear pair of legs to make the table level. C. Converse Hinge Theorem 17 D. Third Angle Theorem E. Answer not shown A. less than 7 feet B. between 7 and 10 feet C. between 10 and 17 feet 21 D. greater than 17 feet E. answer not shown 18 22 A. x < 9 B. x > 9 C. x < 3 D. x > 3 E. answer not shown Complete the 2-column proof. Hinge Theorem Converse of the Hinge Theorem . Use the Hinge Theorem to . Examples. b. WRITING Explain why Theorem 6.12 is named the "Hinge Theorem." • The answers for the lesson-by-lesson masters are provided as reduced pages with answers appearing in red. A smaller meal, like a mouse, would require a smaller angle size. This improves students’ familiarity with the answer formats they may encounter in test taking. Use the Converse of the Hinge Theorem to . explain. why the table top is not level. Include illustrations as appropriate. If in and , and then if and only if . (See Example l.) Write a 2-column proof. The hinge theorem is a theorem about how the legs of triangles relate, and it is as follows: The Hinge Theorem: In two triangles, if two sides of one... See full answer below. AB and AD 4. m ∠ FHE and m ∠ HFG _____ _____ Theorem Example Hinge Theorem If two sides of one triangle are congruent to two sides of another triangle and the included angles are not congruent, then the included angle that is larger has the longer third side across from it. Instead we will consider some examples. The result is rather obvious if you think of the rubber band idea, and we will not prove it here. The distance between the ball (P) and the ground (G) was 6 feet. Example 1: Example 2: Imagine a snake opening up its jaws to eat its prey. Theorem or Postulate Found on Page Answers •Page A1 is an answer sheet for the Standardized Test Practice questions that appear in the Student Edition on pages 278–279. Example 1: If is the median of and , then it follows from the Hinge Theorem that , and therefore : study the chapter, write each theorem or postulate in your own words. Remember to include the page number where you found the theorem or postulate. Add this page to your Geometry Study Notebook so you can review the theorems and postulates at the end of the chapter. Choose from 33 different sets of 5.14 Hinge Theorem flashcards on Quizlet. Learn 5.14 Hinge Theorem with free interactive flashcards. Hinge Theorem - If two sides of one triangle are congruent to two sides of another triangle and the included angles are not congruent, then the longer third side is across from the larger included angle. 24. Fishing Contest. The Hinge Theorem. 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