Directions: Observe and notice the congruent sides and congruent angles shown in the illustration below. Write the reasons for the statements in the two- column proof. T Given: ATEM Prove: ET+EM > TM M Proof: Statements Reasons 1. ES = ET 2. ATSE is isosceles triangle. 3. LETS LTSE. 4. LTSELTSM. 5. LETS LTSM. 6. m/STM = m/STE + mLETM. 7. m/STM = m/TSM +mZETM. 8. m/STM>mTM). 10. ES+EM ISM. 11. ES+EM>TM 12. ET+EM>TM. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
Directions: Observe and notice the congruent sides and congruent angles shown in the illustration below. Write the reasons for the statements in the two- column proof. T Given: ATEM Prove: ET+EM > TM M Proof: Statements Reasons 1. ES = ET 2. ATSE is isosceles triangle. 3. LETS LTSE. 4. LTSELTSM. 5. LETS LTSM. 6. m/STM = m/STE + mLETM. 7. m/STM = m/TSM +mZETM. 8. m/STM>mTM). 10. ES+EM ISM. 11. ES+EM>TM 12. ET+EM>TM. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
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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Transcribed Image Text:Directions: Observe and notice the congruent sides and congruent angles shown in
the illustration below. Write the reasons for the statements in the two-
column proof.
T
Given: ATEM
Prove: ET + EM > TM
M
Proof:
Statements
Reasons
1. ESET.
2. ATSE is isosceles triangle.
3. LETS LTSE.
4. LTSELTSM.
5. LETS LTSM.
6. mLSTM = mLSTE + mLETM.
7. m/STM=mZTSM +mZETM.
8. m/STM > m/TSM.
9. SMITM),
10. ES+EM
1
ISM.
11. ES+EM>TM.
12. ET+EM>TM.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
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