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Before you write a proof, draw the figure and then plan what you will do to complete the proof.
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document.write( "From the figure, note that if you show HK = KL and JK = KM you have two sets of sides congruent.
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document.write( "Angles HKJ and LKM are vertical angles, and vertical angles are congruent and thus, by definition, equal.
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document.write( "Now you have SAS which shows triangle HKJ and LMK are congruent.
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document.write( "Now write the formal proof from the steps.
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document.write( "K is midpoint of HL and MJ --- Given
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document.write( "HK = KL and MK = KJ --- definition of midpoint
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document.write( "HK is congruent to KL and MK congruent KJ ---- Definition of congruent
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document.write( "HKJ and LKM are vertical angles ---- definition of vertical angles
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document.write( "measure of HKJ = measure LKM ----- vertical angle measure theorem
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document.write( "HKJ congruent LKM ---- definition of congruent
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document.write( "Triangle HKJ and Triangle LMK are congruent----SAS
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Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
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