please someone me will fan and medal!!
@jim_thompson5910
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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
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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
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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
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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?