HW, red pen, pencil, highlighter, GP NB

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HW, red pen, pencil, highlighter, GP NB U6D8 Have Out: HW, red pen, pencil, highlighter, GP NB Bellwork: If WASH is a parallelogram, then . Complete the proof by filling in the missing information. W S H A 4 2 1 3 >> > Statement Reason +1 1.WASH is a parallelogram 1.______________ Given +1 2. m1 =____ m4 2.______________ Alternate Interior Thm +1 3. m2 ___ = m3 3.______________ Alternate Interior Thm +1 +1 4._________________ 4.______________ Reflexive property 5.WHA  ______ SAH +1 +1 5.______________ ASA  s   parts +1 6. 6.______________ “therefore”

>> > Yes,  WAH   SHA from above and  s   parts. TK-87 W S H A 4 2 1 3 >> > In the bellwork, we proved that if WASH is a parallelogram, then . Answer the following: A) Is ? Why or why not? Yes,  WAH   SHA from above and  s   parts. B) Is W  S ? Why or why not? Yes,  WAH   SHA from above and  s   parts. C) Is WHS  SAW ? Why or why not?

Add this justification to TK-87 In the bell work, we proved that if WASH is a parallelogram, then . W S H A 4 2 1 3 >> > C) Is WHS  SAW ? Why or why not? Statements Reasons 1. mWHS = m1 + m2 mSAW = m4 + m3 1. Adjacent  addition 2. m1 = m4 & m2 = m3 2. Alternate Interior  Thm 3. m1 + m2 = m4 + m3 3. Addition Property Add this justification to your Summary Toolkit 4. mWHS = mSAW 4. substitution Using a TWO COLUMN PROOF, We have just proved that if we have a parallelogram, then the opposite sides and opposite angles are congruent.

Add this justification to TK-88 B C 4 >> If and , prove that ABCD is a parallelogram. That is, prove that . 3 >> 1 2 A Statement Reason D 1. 1. Given 2. 2. Given 3. m1 = m3 3. Alternate Interior  Thm 4. 4. Reflexive property 5. BAC  DCA 5. SAS 6. m2 = m4 6.  s   parts Add this justification to your Summary Toolkit 7. 7. Converse of Alternate Interior  Thm 8. ABCD is a parallelogram 8. Definition of parallelogram We have just proven that if we have a quadrilateral with one pair of opposite sides  & ||, then it’s a parallelogram.

Work on the worksheet and TK 93 - 96, 120 - 121