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Middle “Bubble”

Middle “Bubble”. HL: “Hypotenuse-Leg” If the hypotenuse and a leg of one triangle are congruent to the corresponding parts of another right triangles, then the triangles are congruent. F. A. K. B. C. B. 4.3: HL. “Hypotenuse Length”.

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Middle “Bubble”

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  1. Middle “Bubble” HL: “Hypotenuse-Leg” If the hypotenuse and a leg of one triangle are congruent to the corresponding parts of another right triangles, then the triangles are congruent. F A K B C B

  2. 4.3: HL “Hypotenuse Length”

  3. Given C is the midpoint of BD, and AB=DE, prove that ABC~ EDC D Statements Reasons A E C 1.) AB=DE 1.) Given 2.) BC=DC 2.) Definition of Midpoint 3.) m<ACB=m<DCE 3.) Vertical Angles B 4.) m<ACB=90 4.) Substitution/Transitive 5.) ABC = EDC 5.) HL

  4. Proof of HL: 2 right triangles with same hypotenuse and leg Given 2 right triangles with sides of length a,b,c and d,b,c Prove a=d c c b b 2 2 2 a + b = c Pythagorean theorem a d 2 2 2 d + b= c “ “ 2 2 2 2 Substitution/transitive a + b = d + b 2 2 a = d Subtraction Property a=d Square root both sides

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