Given: LM || PQ. M MZQLP - M2NMI. Prove: AQLP - ANML. Statements Reasons LM || PO Given 2. ZIPQ = ZMLN 2. Alternate Interior 2's MZQLP = 12NML. 3. Given ZOLPa ZNMI. Defn. of Congruence 5. AQLP – ANMI. 5. SAS Similarity Given: ZTUV is supplementary to ZSTU, RT ST UT VU Prove: ARST - ATVU R Statements Reasons ZTUVis wpplementary to /STU 1. Given 2. /RIS is supplementary to /STU 2. Congruent Supplements Theorem 3. Supplement Theorem (Linear Pair Theorem) ZRIS a ZTUV RT ST UT PU 4. 4. Given 5. ARST - ATVU 5. AA Similarity
Given: LM || PQ. M MZQLP - M2NMI. Prove: AQLP - ANML. Statements Reasons LM || PO Given 2. ZIPQ = ZMLN 2. Alternate Interior 2's MZQLP = 12NML. 3. Given ZOLPa ZNMI. Defn. of Congruence 5. AQLP – ANMI. 5. SAS Similarity Given: ZTUV is supplementary to ZSTU, RT ST UT VU Prove: ARST - ATVU R Statements Reasons ZTUVis wpplementary to /STU 1. Given 2. /RIS is supplementary to /STU 2. Congruent Supplements Theorem 3. Supplement Theorem (Linear Pair Theorem) ZRIS a ZTUV RT ST UT PU 4. 4. Given 5. ARST - ATVU 5. AA Similarity
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Could you go through 1&2 and check my reasonings, the statement order is correct but I just need to know if my reasons make sense. Refer below:

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Proof
SIMILAR
Given:
NOT ALL REASONS WILL BE USED!
LM || PQ.
TRIANGLE
Alternate Exterior 2's
MZQLP = MZNML
PROOFS
Prove: AOLP - ANML
Directions: Complete the proof to the
right using the statements and reasons.
Statements
Reasons
1.
LM || PQ
1.
Given
2.
ZIPO = ZMLN
2.
Alternate Interior 2's
3.
MZOLP = MZNML
3.
Given
ZOLP = ZNML.
4. Defn. of Congruence
4.
5.
AQLP - ANML
5.
SAS Similarity
AA Similarity
Proof
2
SIMILAR Given:
NOT ALL REASONS WILL BE USED!
ZTUV is supplementary to ZSTU.
RT ST
UT VU
TRIANGLE
PROOFS
Prove: ARST - ATVU
R
SAS Similarity
Directions: Complete the proof to the
right using the statements and reasons.
Statements
Reasons
Vertical Angles
ZTUV is supplementary
to /STU
1.
1.
Given
/RIS is supplementary
to /STU
2.
Congruent Supplements
Theorem
2.
Supplement Theorem
(Linear Pair Theorem)
3.
ZRIS = ZTUV
3.
RT ST
Given
4.
4.
5.
ARST - ATVU
5.
AA Similarity
O Gina Wison (All Things Aigebroß, LLC). 2018
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