The figure below shows a quadrilateral ABCD with diagonal BD bisecting angle ADC:
A quadrilateral ABCD is drawn with BD as a diagonal. BD bisects angle ADC and forms two triangles ABD and CBD. AD and CD are equal in length.
Which equation is true?
AB = BC
DB = 2DC
AB = DB
AB = 2AD
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jaynator495 (jaynator495):
|dw:1478196634730:dw|
jaynator495 (jaynator495):
It asks
"Which equation is true?
AB = BC
DB = 2DC
AB = DB
AB = 2AD"
Using this diagram we can figure this out.
OpenStudy (civicsiscool44):
ok
OpenStudy (civicsiscool44):
I was thinking it was D" AB = 2AD
jaynator495 (jaynator495):
|dw:1478196731273:dw|
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jaynator495 (jaynator495):
CB should be BC... *facedesk* WELL ANYWAY
jaynator495 (jaynator495):
It's asking which is the same as the other,
or congruent.
jaynator495 (jaynator495):
is AB the same as DB?
OpenStudy (civicsiscool44):
No
jaynator495 (jaynator495):
Good, is AB the same as 2AD?
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OpenStudy (civicsiscool44):
I think so
jaynator495 (jaynator495):
No, It's not...
What about
DB and 2DC?
OpenStudy (civicsiscool44):
No
jaynator495 (jaynator495):
Good, and what does that leave?
OpenStudy (civicsiscool44):
It leaves answer choice A
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jaynator495 (jaynator495):
Good! Do you understand why that is the correct answer?
OpenStudy (civicsiscool44):
No not really
jaynator495 (jaynator495):
Alright, I'll explain it.
jaynator495 (jaynator495):
Triangle DAB is a reflection of the triangle DCB, so since AB, and BC are lines opposite of one another on a reflected triangle, they are congruent.
Does this make sense?
GOOD LORD HOW MANY TIMES I GOTTA TYPE THIS TO GET IT RIGHT, sorry lol
OpenStudy (civicsiscool44):
Could you check my answer on another one?
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