6. Complete the proof by choosing the correct reason for each statement. (Answer choices follow #52.) Given: OM 1 LN, M is the midpoint of LN Prove: AOML AOMN STATEMENT REASON 1. OM 1 LN, M is the midpoint of LN 1. (34.) 2. 2OML, LOMN are right angles 2. (35.) 3. 2OML = LOMN 3. (36.) 4. LM = MN 4. (37.) 5. OM = OM 5. (38.) 6. AOML = AOMN (39.) GSE Geometry A Week 9

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 31A
Question
I need help with those questions. The second image is the possible answers. Thank you very much.
Complete the proof by choosing the correct reason for each statement. (Answer choices
follow #52.)
Given: OM 1 LN, M is the midpoint of LN
Prove: AOML = AOMN
STATEMENT
REASON
1. OM 1 LN, M is the midpoint of LN
1.
(34.)
2. 2OML, 2OMN are right angles
2.
(35.)
3. LOML E ZOMN
3.
(36.)
4. LM = MN
4.
(37.)
5. OM = OM
5.
(38.)
6. AOML E AOMN
6.
(39.)
GSE Geometry A Week 9
Page 17 of 19
Transcribed Image Text:Complete the proof by choosing the correct reason for each statement. (Answer choices follow #52.) Given: OM 1 LN, M is the midpoint of LN Prove: AOML = AOMN STATEMENT REASON 1. OM 1 LN, M is the midpoint of LN 1. (34.) 2. 2OML, 2OMN are right angles 2. (35.) 3. LOML E ZOMN 3. (36.) 4. LM = MN 4. (37.) 5. OM = OM 5. (38.) 6. AOML E AOMN 6. (39.) GSE Geometry A Week 9 Page 17 of 19
Answer choices 34-52:
A) Given
B) Substitution / Transitive Property of Equality
C) Definition of Right Triangle
D) Definition of Midpoint
E) Definition of Angle Bisector
AB) Definition of Perpendicular Lines
AC) Right Angle Congruence Theorem
AD) Reflexive Property of Congr
nce
AE) Congruent Supplements Theorem
BC) Vertical Angles Congruence Theorem
BD) Alternate Interior Angles Theorem
BE) Linear Pair Postulate
CD) SSS Congruence Postulate
CE) SAS Congruence Postulate
DE) ASA Congruence Postulate
ABC) AAS Congruence Theorem
ABD) HL Congruence Theorem
Transcribed Image Text:Answer choices 34-52: A) Given B) Substitution / Transitive Property of Equality C) Definition of Right Triangle D) Definition of Midpoint E) Definition of Angle Bisector AB) Definition of Perpendicular Lines AC) Right Angle Congruence Theorem AD) Reflexive Property of Congr nce AE) Congruent Supplements Theorem BC) Vertical Angles Congruence Theorem BD) Alternate Interior Angles Theorem BE) Linear Pair Postulate CD) SSS Congruence Postulate CE) SAS Congruence Postulate DE) ASA Congruence Postulate ABC) AAS Congruence Theorem ABD) HL Congruence Theorem
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