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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. m∠KOC<m∠KRO
b. Isosceles Triangle Theorem
c. KR>KC
d. Exterior Angle Theorem
e. KO=KC
f. Hinge Theorem
g. Substitution Property of Equality
h. m∠KOC>m∠KRO
i. Given
j. Definition of congruent angles

Proof:
Statements Reasons
1.
KO ¯ ≅ KC ¯
1.
2.
2. Definition of congruent segments
3.
∠KOC≅∠KCO
3.
4.
m∠KOC=m∠KCO
4.
5.
m∠KOC =m∠KRO+m∠RKO
5.
6.
6. Whole-Part Inequality
7.
m∠KCO>m∠KRO
7.
Statements 4 and 6, and
8.
8. Angle-Side Inequality Theorem
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