Complete the two-column proof to prove that the chords from congruent circles with corresponding congruent minor arcs are congruent. Be guided by the statements and reasons already provided for you. Given: OT ON .T AB = OE Prove: AB = OE E Proof: Statement Reason 1. 1. Given 2. mAB = mOE 2.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
SectionP.CT: Test
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Complete the two-column proof to prove that the chords from congruent circles with corresponding
congruent minor arcs are congruent. Be guided by the statements and reasons already provided for
you.
Given: O T= ON
B
AB = OÈ
Prove: AB = OE
Proof:
Statement
Reason
1.
1. Given
2. mAB
= mOE
2.
Transcribed Image Text:Complete the two-column proof to prove that the chords from congruent circles with corresponding congruent minor arcs are congruent. Be guided by the statements and reasons already provided for you. Given: O T= ON B AB = OÈ Prove: AB = OE Proof: Statement Reason 1. 1. Given 2. mAB = mOE 2.
4. Substitution Property of Equality
3. mAB
3.
= MLATB and
moE
= M2ONE
4.
5.
5. ZATB = LONE
6.
6. TA =TB =NO =NE
7. SAS Postulate
7.
8.
8. AB = OE
Transcribed Image Text:4. Substitution Property of Equality 3. mAB 3. = MLATB and moE = M2ONE 4. 5. 5. ZATB = LONE 6. 6. TA =TB =NO =NE 7. SAS Postulate 7. 8. 8. AB = OE
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