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Given:line HG is the perpendicular bisector of segment jk. Which conclusion is valid

Given:line HG is the perpendicular bisector of segment jk. Which conclusion is valid-example-1
User Jpfreire
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1 Answer

24 votes
24 votes

Given that HG is the perpendicular bisector of JK, it means that

JG = KG

HG is common to triangles JGH and KGH

angle JGH and angle KGH are 90 degrees. They are congruent

Since 2 corresponding sides and an angle of triangles JGH and KGH are congruent, it means that the triangles are congruent. Thus,

HJ = HK

Option C is correct

User SooDesuNe
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