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Geometry 13 Online
OpenStudy (kimberlyevens):

please someone me will fan and medal!! @jim_thompson5910

OpenStudy (kimberlyevens):

jimthompson5910 (jim_thompson5910):

|dw:1417494777207:dw|

jimthompson5910 (jim_thompson5910):

ok, what do the single ticks mean?

OpenStudy (kimberlyevens):

im not sure

OpenStudy (anonymous):

it means the are congruent same length

jimthompson5910 (jim_thompson5910):

yes bere1 is correct notice how VS and UV have the same single tick mark that means VS is congruent to UV

jimthompson5910 (jim_thompson5910):

what other two segments are congruent?

OpenStudy (kimberlyevens):

thats right thanks the single ticks are congruent to each other as well as the the doubled ticks

OpenStudy (kimberlyevens):

UT and TW

jimthompson5910 (jim_thompson5910):

good, you got it

jimthompson5910 (jim_thompson5910):

because VS is congruent to UV and because US = UV + VS, we can say this US = UV + VS US = VS + VS US = 2*VS

jimthompson5910 (jim_thompson5910):

making sense so far?

OpenStudy (kimberlyevens):

yes

jimthompson5910 (jim_thompson5910):

similarly, SR = RQ because of the double ticks QS = QR + RS QS = RS + RS QS = 2*RS

OpenStudy (kimberlyevens):

right

jimthompson5910 (jim_thompson5910):

so if you focus on just triangle VSR and triangle USQ, you will see that they are similar and the larger triangle has side lengths double that of the smaller triangle |dw:1417495804608:dw|

jimthompson5910 (jim_thompson5910):

put algebraically we know |dw:1417495871724:dw|

jimthompson5910 (jim_thompson5910):

what can you say about the relationship between VR and UQ?

OpenStudy (kimberlyevens):

that UQ is twice as long as VR, right?

jimthompson5910 (jim_thompson5910):

correct |dw:1417496143706:dw|

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