Mathematics, 18.10.2019 00:50 kamarionnatillman13
Gideon has prepared the following two-column proof below. he is given that ∠oln ≅ ∠lno and he is trying to prove that δole ≅ δone.
triangle oln, where angle oln is congruent to angle lno
step statement reason
1 ∠oln ≅ ∠lno given
2 draw oe as a perpendicular bisector to ln by construction
3 m∠leo = 90° definition of a perpendicular bisector
4 m∠neo = 90° definition of a perpendicular bisector
5 le ≅ en definition of a perpendicular bisector
6 ol ≅ on cpctc
7 ∠leo ≅ ∠neo substitution property of equality
8 δole ≅ δone angle-side-angle (asa) postulate
gideon made two errors in the proof. identify and correct the errors.
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