Homework 2-2 #14 M I L D Step 1. MI = LD 2. IL = IL

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Presentation transcript:

Homework 2-2 #14 M I L D Step 1. MI = LD 2. IL = IL 3. MI + IL = LD + IL 4. MI + IL = ML; LD + IL = ID 5. ML = ID Reason 1. Given 2. Reflexive Property 3. Addition Property 4. Segment Addition Postulate 5. Substitution

2-2 PROOFS

Proof I will give you the 1st step First reason is always “given” STEP 1. 3x = 7 – 1/2x 2. 6x = 14 – x 3. 7x = 14 4. x = 2 REASON 1. GIVEN 2. Multiplication Property 3. Addition Property 4. Division Property

TOO: 3 Steps Step 1. 2x + 3 = 11 2. 2x = 8 3. x = 4 Reason 1. Given 2. Subtraction Property 3. Division Property

Example: Geometry Proof Given: RS = PS and ST = SQ Prove: RT = PQ S Q T Step 1. RS = PS, ST = SQ 2. RS + ST = PS + SQ 3. RS + ST = RT PS + SQ = PQ 4. RT = PQ Reason 1. Given 2. Addition Property 3. Segment Addition Postulate 4. Substitution

TOO: 5 Step Proof A B Given: Prove: C O D Step 1. 2. 3. 4. 5. Reason 2. Angle Addition Postulate 3. Substitution Property 4. Reflexive Property 5. Subtraction Property

Homework Page 41 #1-14 Flash Cards #11-14 are each 4 step proofs Reflexive Property Substitution