Question

1. m is the circumcenter of δghi.

a) gi
b) mh
c) ik
d) hi
e) mg
© gina wilson (all things algebra®, llc), 2014 - 2020

Explanation:

Step1: Find length of GI

GI = GL + LI = $30 + 30 = 60$

Step2: Find length of MH

MH = MI = $23$ (circumcenter is equidistant from vertices)

Step3: Find length of IK

IK = MI = $23$ (MK is perpendicular bisector of HI)

Step4: Find length of HI

HI = 2×IK = $2×23 = 46$

Step5: Find length of MG

MG = MI = $23$ (circumcenter is equidistant from vertices)

Answer:

a) $GI = 60$
b) $MH = 23$
c) $IK = 23$
d) $HI = 46$
e) $MG = 23$