7.1 – 7.2 key
1a) ̅̅̅̅ ̅̅̅̅
̅̅̅̅ ̅̅̅̅
b) ̅̅̅̅ ̅̅̅̅
̅̅̅̅ ̅̅̅̅
̅̅̅̅ ̅̅̅̅
c)
d)
e)
3a) ̅̅̅ ̅̅̅̅ ̅̅̅̅
b)
c) ̅̅̅̅ ̅̅̅
d) ̅̅̅̅ ̅̅̅ ̅̅̅̅
5)
Statement
̅̅̅̅ ̅̅̅̅
A
S
A
̅̅̅̅̅
̅̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅̅
̅̅̅̅̅
7)
9)
11)
13a)
b)
c)
d)
15a)
b)
c)
d)
17)
The where the diagonals meet is
No, a rhombus has 4 congruent sides
, a parallelogram must have 2 pairs of congruent angles
Yes
If a quadrilateral has 4 congruent sides, then it is a rhombus. True
If a quadrilateral is not a rhombus, then it does not have 4 congruent sides. True
If a quadrilateral does not have 4 congruent sides, then it is not a rhombus. True
(
) (
) (
)
( ) (
) ( )
( ) ( ) (
)
(
) (
) ( )
Reason
Opposite sides of a rectangle are parallel
Alternate interior s
Opposite sides of a rectangle are congruent
Alternate interior s
ASA
CPCTC
CPCTC
Assn 7.3 – 7.4 key
1a)
b)
c)
d)
3a)
b)
c)
5)
7)
̅̅̅̅
̅̅̅̅̅
9a)
b)
c) ̅̅̅̅ ̅̅̅̅̅
d)
11)
13)
15) ̅̅̅̅ ̅̅̅̅
17)
19)
Statement
WYZX is a kite
S
S
S
̅̅̅̅̅
̅̅̅̅̅
Reason
Given
̅̅̅̅
̅̅̅̅
definition of kite
̅̅̅̅̅
̅̅̅̅̅
definition of kite
̅̅̅̅̅
̅̅̅̅̅
Reflexive
SSS
CPCTC
Definition of
bisector
CPCTC
Definition of
bisector
21) No. By definition a trapezoid can only have one
pair of congruent sides and a parallelogram has
two pair of congruent sides.
23) a)
√ , b) 50, c) 21, d) -3
25a)
all sides are 24 units
b)
c)
d) ̅̅̅̅
27) No. All I know is that the
triangles have one angle in
common and the reflexive side. I
need to know one more set of
corresponding parts are
congruent
Assn 7.5 – 7.6 key
1a)
, linear pair
b)
, linear pair
c)
, linear pair
d)
, sum of previous problems
e)
, triangle sum theorem
f)
, the exterior s of a
triangle add up to
3)
5) rhombus, square
7) parallelogram, rectangle,
rhombus, square
9) kite, square, rhombus
11) square, rectangle, paralllelogram,
rhombus, trapezoid, kite
13) trapezoid, kite
15) rhombus
17a)
b)
c)
19a) sides
b)
sides
c) sides
21a)
b)
c)
d)
23a)
b)
c)
d)