Select all the true statements. 12210203832.jpg A./_\FGK ~= /_\FJK B./_GKH ~= JKH C.bar(FG) ~= bar(KG) D./_GFH ~= /_JFH E./_\GKH ~= /_\JKH F.bar(FG) ~= bar(JK)

rocedwrp 2020-10-23 Answered
Select all the true statements.

A.FGK=FJK
B.GKH=JKH
C.FG=KG
D.GFH=JFH
E.GKH=JKH
F.FG=JK
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Expert Answer

hajavaF
Answered 2020-10-24 Author has 90 answers
Step 1
Given:

Step 2
We have,
InFGHandFJH,
FG=FJ(Given)
GH=JH(Given)
FH=FH(Common side)
So, by SSS congruence criteria
FGH=FJH...(i)
A.InFGKandFJK,
FG=FJ(Given)
GFK=JFK [Using(i)]
FK=FK(Common side)
So, by SAS congruence criteria
FGK=FJK
B.Similarity, using(i) and A, we get
InGKHandJKH,
GK=JK[Using(A)]
GH=JH(Given)
KH=KH(Common side)
So, by SSS congruence criteria
GKH=JKH
Hence, GKH=JKH
D.Using(i),GFH=JFH
E.Already proved in B, GKH=JKH
C & F. These two points are False.
Step 3
Hence the true statements are A, B, D, and E.
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