a) If
b) If
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Elementary Geometry For College Students, 7e
- In Exercises 1 to 8, use the figure provided. If mCD:mAB=3:2, write an inequality that compares QM to QN.arrow_forwardIn Exercises 31 to 34, apply a form of Theorem 3.5.10. The sides of a triangle have lengths of 4, 6, and x. Write an inequality that states the possible values of x.arrow_forwardIn Exercises 31 to 34, apply a form of Theorem 3.5.10. The sides of a triangle have lengths of 7, 13, and x. As in Exercise 31, write an inequality that describes the possible values of x.arrow_forward
- aIf mABmCD, write an inequality that compares mAQBmCQD. bIf QRQP, write an inequality that compares AB and CD.arrow_forwarda Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?arrow_forwarda If MNPQ, write an inequality that compares the measures of minor arcs MN and PQ. b If MNPQ, write and inequality that compares the measures of major arcs MPN and PMQ.arrow_forward
- Of several angles, the degree measures are related in this way: mJKLmGHI the measure of the angle JKL is greater than that of angle GHI, mGHImDEF and mDEFmABC. What conclusion does the Transitive Property of Inequality allow regarding mABC and mJKL?arrow_forwardIn Exercises 25 to 32, name the type of reasoning if any used. While judging a science fair project, Mr. Cange finds that each of the first 5 projects is outstanding and concludes that all 10 will be outstanding.arrow_forwardIf a=p2q2,b=2pq and c=p2+q2, show that c2=a2+b2.arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning