1. Unit 6 Quadrilaterals Section 6.1 Properties of Parallelograms

2. parallel parallel congruent congruent supplementary bisect each other
quadrilateral
parallel
parallel
congruent
congruent
supplementary
= 180
bisect each other

3. 65o
6 cm
65o
115o
8 cm
= 180
180 – _____ =
115o
65o

4. = 180 17
65o 14
6 cm
68o
65o
115o
___ = ___ 2a 34
___ = ___ 8b
112
8 cm 2 2
= 180 8 8
a = 17
b = 14
180 – ____ =
115o
65o
180 – ____ =
112o
68o

5. 65o 13
32.5 60
65o 55
= 180
= 180
180 – _____ =
115o
65o
2y = 65
5x = 65 2 2 5 5

6. 65o
= 180 13 10
32.5 40 60
65o 55
= 180
___ + ___ = 180 3y 6x
= 180
= 180
3y + 6(__) = 180 10
180 – _____ =
115o
65o
___ + ___ = 180 6x
12x
3y + 60 = 180
2y = 65
5x = 65
___x = 180 18
–60
–60 2 2 5 5 18 18
3y = 120 3 3

7. _____ = _____ 7x 3x + 14 –3x –3x 4x = 14 4 4 x = 3.5 24.5 24.5
= 3(3.5) + 14 4 4
x =
3.5
24.5
24.5

8. _____ = _____ 7x 3x + 14 –3x –3x = 180 4x = 14 4 4 x = 3.5 24.5 24.5
2(27) – 3
= 180
4x = 14
= 3(3.5) + 14 4 4
5(27) – 6
x =
3.5
24.5
24.5
2z – 3
_____ + _____ = 180
5z – 6
7z =
189
51o
129o 7 7 7z
– 9 =
180
51o
129o +9 +9
z = 27

9. 4
4.5
___ = ___ 6x 24
___ = ___ 4y 18 6 6 4 4
x = 4
y =
4.5

10. 4 4.5 12 12 ___ = ___ 6x 24 ___ = ___ 4y 18 6 6 4 4 x = 4 y = 4.5
4 + 8
4.5
3(4) 12 12
___ = ___ 6x 24
___ = ___ 4y 18 6 6 4 4
x = 4
y =
4.5
____ = ____ 3w
w + 8
– w –w
2w = 8
w = 4 2 2

11. 4(4.5) – 9 4
4 + 8
4.5
3(4)
2(4.5) 12 12
___ = ___ 6x 24
___ = ___ 4y 18 9 18 6 6 4 4
x = 4 24 9
y =
4.5
4z – 9
____ = ____ 2z
____ = ____ 3w
w + 8
– 2z
–2z
– w –w
2z – 9 =
2w = 8
w = 4 +9 +9 2 2
2z = 9 2 2

12. 𝑬𝑭
Opposite sides are parallel 𝑮𝑭
Opposite sides are congruent 𝑯𝑬
Diagonals bisect each other
∠𝑭𝑮𝑫
Opposite angles are congruent
Consecutive angles are supp.
∠𝑫𝑬𝑭
∠𝑫𝑮𝑭