I .Complete the Following Proof (6 steps, Statement 4 has two parts)

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Presentation transcript:

I .Complete the Following Proof (6 steps, Statement 4 has two parts) Geometry/Trig 2 HW #7 Name __________________________ I .Complete the Following Proof (6 steps, Statement 4 has two parts) II. Fill in the missing pieces of the proof. Given: MA = TH Prove: MT = AH M A T H Statements Reasons 1. ___________________________ 1. _________________________ 2. ___________________________ 2. Reflexive Property 3. MA + AT = TH + AT 3. _________________________ 4. ____ + ____ = MT 4. _________________________ ____ + ____ = AH 5. ___________________________ 5. _________________________

A B X C F M D Geometry/Trig 2 Unit 2 Quiz Page 2 II. Fill in the missing pieces of the proof. 1 2 3 4 Given: m1 = m4 Prove: m2 = m3 Statements Reasons 1. ____________________________ 1. _________________________ 2. m______ + m______ = 180 2. Angle Addition Postulate m______ + m______ = 180 3. ____________________________ 3. _________________________ 4. m2 = m3 4. _________________________ III. Match the statement with its corresponding reason. Statements: ______1. If M is the midpoint of DF, then DM = MF. ______2. If M is the midpoint of DF, then DM = ½DF. ______3. If BX is an angle bisector of ÐABC, then mÐABX = mÐXBC. ______4. If BX is an angle bisector of ÐABC, then mÐABX = ½mÐABC ______5. DM + MF = DF. ______6. mÐABX + mÐXBC = mÐABC. Reasons: A. Segment bisector theorem B. Midpoint theorem C. Angle bisector theorem D. Segment addition postulate E. Angle addition postulate F. Definition of a segment bisector G. Definition of a midpoint H. Definition of an angle bisector A B X C F M D