To prove:
Explanation of Solution
Given information:
RO is perpendicular to plane
O, M and K are coplanar
GHJKMP is a regular hexagon
HO bisects angle GHJ
RH is congruent to RJ
Formula used:
Regular hexagon has all sides and
Proof :
In triangles ROJ and ROH , we have
RH is congruent to RJ …… given
Therefore, RH = RJ ....................... by definition of congruency
HO bisects angle GHJ and OJ bisects angle KJH ....................... Given
RO is common arm …… by definition
Thus, triangles ROJ and ROH are congruent…....................... SSS , criteria
Thus, OH = OJ = HJ
Therefore, triangle HOJ is regular
Hence proved
Chapter 7 Solutions
Geometry For Enjoyment And Challenge
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