Solve each problem. Label the diagrams based on the information given. Show work for full credit. 1 In the diagram below, chords PQ and RS of cirele 2 The accompanying diagram shows two intersecting paths within a circular garden. O intersect at 7. 10 What is the length of the portion of the path marked x? Which relationship must always be true? 1) RT=TQ 2) RT= TS 3) RT+ TS = PT + TQ 4) RTx TS = PT × TQ 1) 8 2) 11 3) 3 4) 12 3 In the diagram below of circle O, chords JT and ER intersect at M. 4 Chords AB and CD interseet at point E in a circle with center at O. If AE = 8, AB = 20, and DE = 16, what is the length of CE? 1) 6 2) 9 3) 10 4) 12 If EM = 8 and RM = 15, the lengths of JM and TM could be 1) 12 and 9.5 2) 14 and 8.5 3) 16 and 7.5 18 and 6.5 4)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Solve each problem. Label the diagrams based on the information given. Show work for full credit.
1 In the diagram below, chords PQ and RS of cirele
2 The accompanying diagram shows two intersecting
paths within a circular garden.
O intersect at 7.
10
What is the length of the portion of the path
marked x?
Which relationship must always be true?
1) RT=TQ
2) RT= TS
3) RT+ TS = PT + TQ
4) RTx TS = PT × TQ
1) 8
2) 11
3) 3
4) 12
3 In the diagram below of circle O, chords JT and
ER intersect at M.
4
Chords AB and CD interseet at point E in a circle
with center at O. If AE = 8, AB = 20, and DE = 16,
what is the length of CE?
1) 6
2) 9
3) 10
4) 12
If EM = 8 and RM = 15, the lengths of JM and
TM could be
1) 12 and 9.5
2) 14 and 8.5
3) 16 and 7.5
18 and 6.5
4)
6 In the accompanying diagram of circle O, chord
In the accompanying diagram of circle O, chords
AB and CD intersect at E. If AE = 2, CD = 9, and
CE = 4, find BE .
5
CD bisects chord AB at E, CE = 2, and AB = 8.
Find ED.
A
E
o.
B
Transcribed Image Text:Solve each problem. Label the diagrams based on the information given. Show work for full credit. 1 In the diagram below, chords PQ and RS of cirele 2 The accompanying diagram shows two intersecting paths within a circular garden. O intersect at 7. 10 What is the length of the portion of the path marked x? Which relationship must always be true? 1) RT=TQ 2) RT= TS 3) RT+ TS = PT + TQ 4) RTx TS = PT × TQ 1) 8 2) 11 3) 3 4) 12 3 In the diagram below of circle O, chords JT and ER intersect at M. 4 Chords AB and CD interseet at point E in a circle with center at O. If AE = 8, AB = 20, and DE = 16, what is the length of CE? 1) 6 2) 9 3) 10 4) 12 If EM = 8 and RM = 15, the lengths of JM and TM could be 1) 12 and 9.5 2) 14 and 8.5 3) 16 and 7.5 18 and 6.5 4) 6 In the accompanying diagram of circle O, chord In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 2, CD = 9, and CE = 4, find BE . 5 CD bisects chord AB at E, CE = 2, and AB = 8. Find ED. A E o. B
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