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**Proving Triangles Congruent**

Lesson 4-4 Proving Triangles Congruent (AAS, HL) Lesson 4-4: AAS & HL Postulate

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**Lesson 4-4: AAS & HL Postulate**

Postulates If two angles and a non included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the two triangles are congruent. AAS A B C D E F A B C D E F If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent. HL Lesson 4-4: AAS & HL Postulate

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**Lesson 4-4: AAS & HL Postulate**

Problem 1 Step 1: Mark the Given Step 2: Mark vertical angles AAS Step 3: Choose a Method (SSS /SAS/ASA/AAS/ HL ) Step 4: List the Parts in the order of the method Step 5: Fill in the reasons Statements Reasons Step 6: Is there more? Given Vertical Angle Thm Given AAS Postulate Lesson 4-4: AAS & HL Postulate

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**Lesson 4-4: AAS & HL Postulate**

Problem 2 Step 1: Mark the Given Step 2: Mark reflexive sides HL Step 3: Choose a Method (SSS /SAS/ASA/AAS/ HL ) Step 4: List the Parts in the order of the method Step 5: Fill in the reasons Statements Reasons Step 6: Is there more? Given Given Reflexive Property HL Postulate Lesson 4-4: AAS & HL Postulate

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Do-Now 2) Find the value of x & the measure of each angle. 5x – 4 4x + 14 100° 1) Find the value of x. 4x + 12 2x – 10 3x + 1 5x – 4 + 4x + 14 = 100 9x.

Do-Now 2) Find the value of x & the measure of each angle. 5x – 4 4x + 14 100° 1) Find the value of x. 4x + 12 2x – 10 3x + 1 5x – 4 + 4x + 14 = 100 9x.

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