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A student is checking whether the design she drew is symmetric. Can she determine whether MN and PN are the same length? Explain. N. R ..... Choose the correct answer below. O A. No. In order to show MN PN, ASMN must be congruent to AUNP. The only criterion that can be found for ASMN and AUNP is SSA, which is not a congruence criterion. O B. Yes. By SAS, ARST AQUT, and therefore ST UT. So RP QM, and by ASA, ARNP AQNM, which means that MN E PN. O C. Yes. By SAS, ARST AQUT, and therefore ST UT. So RU QS, and by ASA, ARUN AQSN. Therefore, SN UN and ASMN AUNP by SSA, which means that MN PN. O D. No. In order to show MN PN, ARNP must be shown to be congruent to AQNM, and that cannot be done by any congruence criterion.

A student is checking whether the design she drew is symmetric. Can she determine whether MN and PN are the same length? Explain. N. R ..... Choose the correct answer below. O A. No. In order to show MN PN, ASMN must be congruent to AUNP. The only criterion that can be found for ASMN and AUNP is SSA, which is not a congruence criterion. O B. Yes. By SAS, ARST AQUT, and therefore ST UT. So RP QM, and by ASA, ARNP AQNM, which means that MN E PN. O C. Yes. By SAS, ARST AQUT, and therefore ST UT. So RU QS, and by ASA, ARUN AQSN. Therefore, SN UN and ASMN AUNP by SSA, which means that MN PN. O D. No. In order to show MN PN, ARNP must be shown to be congruent to AQNM, and that cannot be done by any congruence criterion.

Elementary Geometry For College Students, 7e
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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A student is checking whether the design she drew is symmetric. Can she determine whether MN and PN are the same length? Explain. N. HSTU Q Choose the correct answer below. O A. No. In order to show MN PN, ASMN must be congruent to UNP. The only criterion that can be found for ASMN and AUNP is SSA, which is not a congruence criterion. O B. Yes. By SAS, ARST EAQUT, and therefore ST UT. So RP QM, and by ASA, ARNP =AQNM, which means that MN PN. O C. Yes. By SAS, ARST AQUT, and therefore ST UT. So RU QS, and by ASA, ARUN =AQSN. Therefore, SN UN and ASMN 2 AUNP by SSA, which means that MN PN. O D. No. In order to show MN = PN, A RNP must be shown to be congruent to AQNM, and that cannot be done by any congruence criterion. MN
Transcribed Image Text:A student is checking whether the design she drew is symmetric. Can she determine whether MN and PN are the same length? Explain. N. HSTU Q Choose the correct answer below. O A. No. In order to show MN PN, ASMN must be congruent to UNP. The only criterion that can be found for ASMN and AUNP is SSA, which is not a congruence criterion. O B. Yes. By SAS, ARST EAQUT, and therefore ST UT. So RP QM, and by ASA, ARNP =AQNM, which means that MN PN. O C. Yes. By SAS, ARST AQUT, and therefore ST UT. So RU QS, and by ASA, ARUN =AQSN. Therefore, SN UN and ASMN 2 AUNP by SSA, which means that MN PN. O D. No. In order to show MN = PN, A RNP must be shown to be congruent to AQNM, and that cannot be done by any congruence criterion. MN
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