Mathematics
8 Online
OpenStudy (highschoolmom2010):
find missing legnth
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (highschoolmom2010):
ganeshie8 (ganeshie8):
its a kite !
OpenStudy (highschoolmom2010):
well i know that
OpenStudy (highschoolmom2010):
i thought that would make DG the same length bc they are opposites
ganeshie8 (ganeshie8):
in kite, "nonvertex angles" are congruent, and the sides opposite them also congruent.
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
F and D are nonvertex angles here
ganeshie8 (ganeshie8):
that gives, EF = DE, and FG = GD
OpenStudy (highschoolmom2010):
oh...
ganeshie8 (ganeshie8):
im sure u didnt get this clearly enough
OpenStudy (highschoolmom2010):
so the answer was B bc DE and EF are equal right?
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
Yes answer is EF = 6 = DE
OpenStudy (highschoolmom2010):
i really appreciate you explaining it to me :)
ganeshie8 (ganeshie8):
np :)
ganeshie8 (ganeshie8):
|dw:1370968710147:dw|
ganeshie8 (ganeshie8):
the sides opposite to the diagonal thats bisected are congruent
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
there is another simple way to see this, without using kite. using oly the triangles if you're up for it :)
OpenStudy (highschoolmom2010):
sure
ganeshie8 (ganeshie8):
ganeshie8 (ganeshie8):
look at the pic, lets say, the diagonals are intersecting at O
ganeshie8 (ganeshie8):
the two small triangles OFE and ODE are congruent by HL theorem.
so by CPCTC, FE = DE. Done.
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (highschoolmom2010):
CPCTC what is that
ganeshie8 (ganeshie8):
its aan acronym
ganeshie8 (ganeshie8):
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
OpenStudy (highschoolmom2010):
oh ok that makes sense
ganeshie8 (ganeshie8):
it simply says this : when two triangles are congruent, then their corresponding parts are congruent
Join the QuestionCove community and study together with friends!
Sign Up
ganeshie8 (ganeshie8):
great :)