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Triangle Relations and Inequalities 2
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Result
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Identify the missing statements or justifications that will complete the two-column proof. Type the letter of your answer in each blank.

Given:   KO ¯ KC ¯
R is any point on CO but not on OC ¯
Prove:   KR>KC
Choices:
a. mKOC<mKRO
b. Isosceles Triangle Theorem
c. KR>KC
d. Exterior Angle Theorem
e. KO=KC
f. Hinge Theorem
g. Substitution Property of Equality
h. mKOC>mKRO
i. Given
j. Definition of congruent angles

Proof:
Statements Reasons
1.
KO ¯ KC ¯
1.
2.
2. Definition of congruent segments
3.
KOCKCO
3.
4.
mKOC=mKCO
4.
5.
mKOC =mKRO+mRKO
5.
6.
6. Whole-Part Inequality
7.
mKCO>mKRO
7.
Statements 4 and 6, and
8.
8. Angle-Side Inequality Theorem
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