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Elementary Geometry for College Students
- In ABC,mCAB=80,mACB=60,andABC=40. With the angle bisectors as shown, which line segment is longer? a AE or EC? b CD or DB? c AF or FB?arrow_forwardWhat relationship, if any, exists between two angles a with measures of 37 and 53? b with measures of 37 and 143?arrow_forwardA carpenter has placed a square over an angle in such a manner that ABAC and BDCD. In the drawing, what can you conclude about the location of point D?arrow_forward
- a What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?arrow_forwardDetermine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c = 2.5 b a= 20, b= 21 and c = 29 c a=10, b= 12, and c =16 d a= 5, b= 7 and c = 9arrow_forwardIn MNP,NQ bisects MNP. If PN = 6, MN = 9, and MP = 10, find PQ and QM.arrow_forward
- If A=30 and BD=5826 , find the measure of CD .arrow_forwardA line segment joins the midpoints of two opposite sides of a rectangle as shown. What can you conclude regarding MN,AB,DCandMN,AB,DC?arrow_forwardGiven circle O with mBC=120, and mAC=130. a Which angle of triangle ABC is smallest? b Which side of triangle ABC is nearest point O?arrow_forward
- RSTV is a kite, with RSST and RVVT. If mSTV=40, how large is the angle formed a by the bisectors of RST and STV? b by the bisectors of SRV and RST?arrow_forwardRefer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. When 1 is slightly greater than 0: a. How does side y compare to side r? b. How does side x compare to side r? c. How does side x compare to side y?arrow_forwardA compass was used to mark off three congruent segment, AB, BC, and CD. Thus, AD has been trisected at points B and C. If AD=32.7, how long is AB?arrow_forward
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