1. 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”

2. >> > 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?

3. 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.

4. 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.

5. Work on
the worksheet and
TK ,