4.4 Hypotenuse Leg Notes F­I.notebook
December 07, 2015
Objectives: ­Prove right triangles are congruent
­Identify when HL is an option to prove triangles congruent
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4.4 Hypotenuse Leg Notes F­I.notebook
December 07, 2015
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4.4 Hypotenuse Leg Notes F­I.notebook
December 07, 2015
Recap:
What 3 things have to be true for the Hypotenuse­Leg (HL) Theorem to work?
­You must have right triangles.
­The hypotenuses must be congruent to each other.
­One pair of legs must be congruent to each other.
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4.4 Hypotenuse Leg Notes F­I.notebook
December 07, 2015
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4.4 Hypotenuse Leg Notes F­I.notebook
December 07, 2015
B
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4.4 Hypotenuse Leg Notes F­I.notebook
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4.4 Hypotenuse Leg Notes F­I.notebook
December 07, 2015
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We know BD = FD, D is the midpoint of CE, and C and E are right angles from the given information.
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CD = DE by the definition of a midpoint.
Also, BCD and FED are right triangles by the definition of a right triangle.
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So BCD = FED by HL.
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4.4 Hypotenuse Leg Notes F­I.notebook
December 07, 2015
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