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Lesson 5.4 Hypotenuse Leg Congruence Theorem: HL

Lesson 5.4 Hypotenuse Leg Congruence Theorem: HL. Pages 257 - 259. Hypotenuse-Leg Congruence Theorem ( HL ). If the hypotenuse and a leg of one triangle are congruent to the hypotenuse and a leg of a second triangle, then the triangles are congruent. Given 2 right triangles,

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Lesson 5.4 Hypotenuse Leg Congruence Theorem: HL

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  1. Lesson 5.4 Hypotenuse Leg Congruence Theorem: HL Pages 257 - 259

  2. Hypotenuse-LegCongruence Theorem (HL) If the hypotenuse and a leg of one triangle are congruent to the hypotenuse and a leg of a second triangle, then the triangles are congruent. Given 2 right triangles, Hypotenuse– QS≅XZ Leg – RS≅YZ Therefore, by ASA, QRS≅XYZ

  3. Does the diagram show that the triangles are congruent by HL? L P M N

  4. Write a 2-Column Proof that shows JKL ≅ NML Given: LP ≅ LN and LM PN Prove: LPM≅LNM Statements:Reasons: 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. P M L N

  5. Shortcuts to Show that Triangles are Congruent- • SSS – Side, Side, Side • SAS – Side, Angle, Side • ASA – Angle, Side, Angle • AAS – Angle, Angle, Side • HL – Hypotenuse, Leg

  6. Write a 2-Column Proof that shows DRA ≅ DRG Given: A ≅ G, R ≅ R, R is the midpoint of AG Prove: DRA ≅ DRG Statements:Reasons: 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. . D R G A

  7. Assignment: 5.4 Practice A worksheet

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