Given: I is the midpoint of TR, RN = TS, and IN > IS. Prove: OP > EH R Statements Reasons 15. I is the midpoint of TR. 16. Definition of Midpoint 17. RN TS 18. Given 19. mZR > mT 20. AT > AR

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 23E
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Please help. Choose the answer from the choices. Thank you!

For numbers 15-20. Complete the two-column proof below by supplying the missing
statement or reason. An illustration and set of choices are given in the box below:
A. Given
B. RN TS
C. Hinge Theorem
D. Triangle Inequality Theorem
E. Converse of Hinge Theorem
F. Hinge Theorem
G. IN > IS
H. 77 TR
I. AT > AR
J. mR > mT
Transcribed Image Text:For numbers 15-20. Complete the two-column proof below by supplying the missing statement or reason. An illustration and set of choices are given in the box below: A. Given B. RN TS C. Hinge Theorem D. Triangle Inequality Theorem E. Converse of Hinge Theorem F. Hinge Theorem G. IN > IS H. 77 TR I. AT > AR J. mR > mT
Given: I is the midpoint of TR,
RN = TS, and IN> IS.
Prove: OP > EH
R-
T
Statements
Reasons
15. I is the midpoint of TR.
16.
Definition of Midpoint
17. RN = TS
18.
Given
19. mZR > mT
20. AT > AR
Transcribed Image Text:Given: I is the midpoint of TR, RN = TS, and IN> IS. Prove: OP > EH R- T Statements Reasons 15. I is the midpoint of TR. 16. Definition of Midpoint 17. RN = TS 18. Given 19. mZR > mT 20. AT > AR
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