Gideon has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that ΔOLE ≅ ΔON
E.
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.
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.
1 answer:
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Answer:
Step-by-step explanation:
Given
Garden:
One Bag:
Requires
Determine the number of bags to cover the whole garden
This is calculated as thus;
Expand the numerator
Express 81 as 9²
Evaluate as difference of two squares
Hence, the number of bags is