Mathematics
7 Online
OpenStudy (anonymous):
Geometry Help?
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OpenStudy (anonymous):
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
@saifoo.khan Help?
jimthompson5910 (jim_thompson5910):
what does CPCT stand for
OpenStudy (anonymous):
Corresponding parts of congruent triangles are congruent
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OpenStudy (anonymous):
i mean Corresponding parts of congruent triangles
jimthompson5910 (jim_thompson5910):
so in that last box, they are saying that those two angles are congruent because of CPCT, which means what must have been proven right beforehand?
OpenStudy (anonymous):
Yes
jimthompson5910 (jim_thompson5910):
yes what?
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OpenStudy (anonymous):
Lol i mean yes, something must have proven beforehand, but i have no idea what
jimthompson5910 (jim_thompson5910):
well if you're saying that the corresponding angles are congruent because the triangles are congruent, what must be true
OpenStudy (anonymous):
the triangles are congruent? all angles and sides are the same?
jimthompson5910 (jim_thompson5910):
does it say anywhere that the two triangles are congruent
OpenStudy (anonymous):
lol no....
they aren't
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jimthompson5910 (jim_thompson5910):
but yet you use CPCT, so what must have been proven
OpenStudy (anonymous):
that those two angles are equal? Im lost sorry
jimthompson5910 (jim_thompson5910):
another name for equal is ???
jimthompson5910 (jim_thompson5910):
esp when you're talking about triangles (or any geometric figure)
OpenStudy (anonymous):
congruent?
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jimthompson5910 (jim_thompson5910):
good, so this rules out choices B and C
jimthompson5910 (jim_thompson5910):
because we need to show that they are congruent (not similar)
OpenStudy (anonymous):
Its A?
jimthompson5910 (jim_thompson5910):
why do you say that
OpenStudy (anonymous):
because we figured out an angle already
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OpenStudy (anonymous):
O wait but they are sharing the hypotonuse
OpenStudy (anonymous):
So I guess that would mean D
jimthompson5910 (jim_thompson5910):
choice A says its using the SAS rule, but do you have 2 pairs of congruent sides?
OpenStudy (anonymous):
Well we have one pair, but not another
jimthompson5910 (jim_thompson5910):
so we can't use the SAS rule, that eliminates choice A
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OpenStudy (anonymous):
So then it would have to be D
jimthompson5910 (jim_thompson5910):
but luckily we can use the HL rule because we have the 2 hypotenuses congruent (they are same line) and we have 2 legs congruent (the two radii)
jimthompson5910 (jim_thompson5910):
so that leads to D
OpenStudy (anonymous):
OK Thank you!
jimthompson5910 (jim_thompson5910):
np