G.CO.77 PRACilCE NOTES WS #2
Def in itions
Parallelogram
Rectangle
Definition
Definition
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Definition
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Properties
Properties
Properties
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G.CO.71 PRACTrcE NOTES WS #2
Determine the missing information.
1.
PTulqlory
2. Parallelogram ABCD
ABCD
*-+-
t11
^bu
-10
LY
*= 31" y=
(c,n
4b'
v=
1??
Sguarg ABCD
y=
{
crt" y=
,15"
y= lL
5. Rtrombus ABCD
c,vw y=
1o'
6..Parallelogram ABCD
----.'
a?*hLt &
--r-/
g,*,t1"= NL
t
,,,r
y= feut
y=
lt!,
bh"
L&o
'- tLa
3Y
+tt :x-
/{.f^
2o
{rfr
*= 5t' y= 2o"
NAME:
G.CO.TI WORKSHEET #2
1. Determine whether the statement is (A)lways, (Slometimes, or (N)ever True.
of a rectangle are congruent.
b) The diagonals of a parallelogram are perpendicular.
c)A parallelogram is a rhombus.
d) The diagonals of a rhombus bisect each other.
e)A rhombus is equilateral.
A
A
A
A
A
a) The diagonals
S
N
S
N
S
N
s
N
S
N
2. QuadrilateralABCD is a parallelogram.
b) mZADC =78o,
al nZBAC=54o,
find mZDAB =
find mZDCA =
cl nIDCB = L42" & n./DCA
find mIBAC=
=
37",
e)AE = L4cm & DE = 18 cm,
find EB =
3. QuadrilateralABCD is a rhombus.
a) mZADE =27o,
find mIDAE
find mZABD
=
=
cl m/.ABC= 64"
find mZABE=
e)AE=3cm&DE=4cm,
d) mZABC = 73o & nZDBA = 31o,
find mZDBC =
fleC=L0cm&EB=L5cm,
find AC =
b) mZCAB =71o,
find mICEB =
d) mIDAB = 1400
find mZADE =
f)RO=13cm&BD=24cm,
find AC =
find DB =
find AD =
4. QuadrilateralABCD is a rectangle.
a) mIBAC =27o,
find mZACB =
find mZDAC =
-
b) nIADE=74"
find mZDAE=
findmlBEC=
cl n/AEB= L44",
find mZCAB =
d) n/BCA=78"
find mZDAC =
e) DE = 9cm,
f)AD=6cm&DC=8cm,
find AC =
find AE =
5. Find the value for the variables.
b) Parallelogram
a) Parallelogram
c) Rhombus
d) Rhombus
x=
x=
2
G.CO.17 WORKSHEET #2
6. Given parallelogram ABCD, determine the measurements.
b) mZADC =
a) nZDCB =
d) mZABD =
f)Ag =
e)AD=
7. Classify the triangle as specific as you can (by side and by angle).
c) ln parallelogram ABCD d) ln square ABCD,
b) ln rhombus ABCD
a) ln rectangle ABCD
where nIDAE = 85" &
where nIEDA=20o,
where n/DAC = 65o,
nIDBC
what type of A is AADC?
what type of A is AADC?
= 19o
what type of A is ADEA? what type of A is ADAB?
8. Determine which quadrilateral has these properties? (Pick all the correct answers).
A
(Paratlelogram)
B
(Rectangle) C (Rhombus)
D (Square)
a) Diagonals are congruent
b) Equilateral
c) Diagonals bisect each other
9. Determine the correct answers.
Always
Always
Always
Always
a)A square is a rectangle
b)A parallelogram is a rhombus
c)A rhombus is a square
d) A square is a parallelogram
Sometimes
Sometimes
Sometimes
Sometimes
10. Given rectangle ABCD and the given information to solve each problem.
a)AC = 4x-54 and BD = 33 + 1x, find x =
&EC=
b)AC = 4x- 60 and AE = x + 5, find x =
cl nZBAC= 4x+ L2 and nIDAC
= 5x +
&BD=
24, findx=
&
n/DAC=
d)Rf
= 9 cm, DC = L5 cffi,
e) mZEAD = 63o,
IIAED
find AD =
= 4x + 8,
find x =
(2 decimal places)
Never
Never
Never
Never
G.CO.77 WORKSHEET #2
NAME:
1. Determine whether the statement is (Allways, (slometimes, or (Nlever True.
of a rectangle are congruent.
b) The diagonals of a parallelogram are perpendicular.
c)A parallelogram is a rhombus.
d) The diagonals of a rhombus bisect each other.
a) The diagonals
@
A
A
6)
\Z
6)
ffi
e)A rhombus is equilateral.
2. QuadrilateralABCD is a parallelogram.
a) m/BAC = 54o,
b) m/ADC =78o,
find mZDCA =
find mZDAB =
cl nZDCB = L42" & nZDCA = 37o,
find mZBAC=
find mZDBC
e)AE = L4 cm & DE = 18 cm,
find EB =
f) EC=10cm&EB=15cm,
find AC =
3. Quadrilateral ABCD is a rhombus.
a) nZADE=27o,
find mlDAs
find nZ.ABD
= b3'
= L1"
cl nZABC= 64"
find mZABe=
dl nIABC
= 73o &
nIDBA=
31o,
=
bl nZCAB =71o,'q;
findmlCEB=
dl nZDAB = 140o
find mZADE
7{
= ,,o"
f)RO=L3cm&BD=24cm,
e)AE=3cm&DE=4cm,
findDB= ?c^
1
cl^
find AD =
5;
€+',fr:)
find AC
=
D
cff
er+u.-r1
4. QuadrilateralABCD is a rectangle.
al IIBAC = 27o,
find mZACB =
find mZDAC =
bl IIADE=74"
find mZDAE=
find mZBEC=
cl n/AEB= L44",
find mZCAB =
dl nIBCA=
78o
find mZDAC
=
f)AO=6cm&DC=8cm,
e) DE = 9cm,
find AC =
find AE =
5. Find the value for the variables.
a) Paralle[ogram
b) Parallelogram
*= l(
x= f
c) Rhombus
x=
ll
d) Rhombus
*=
lo
S
N
N
N
S
N
S
N
2
G.CO.17 WORKSHEET #2
6. Given parallelogram ABCD, determine the measurements.
b) nZADC =
c)
mIADB=L-
d) mZABD =
f)AB
e)AD=
=
7. Ctassify the triangle as specific as you can (by side and by angle).
c) ln parallelogram ABCD
b) ln rhombus ABCD
a) ln rectangle ABCD
where nIDAE = 85o &
where I/EDA=20o,
where nZDAC = 65o,
what type of A is AADC?
mIDBC = 19o
what type of A is ADEA?
what type of A is AADC?
kr,
*c,t\4 lsrtuv>
d) ln square ABCD,
what type of A is ADAB?
lLr*'nJ'" lxOrtV
*n- Scurn^u-
g. Determine which quadrilateral has these properties? (Pick all the correct answers).
A
(Parallelogram)
C (Rhombus)
B (Rectangle)
D (Square)
a) Diagonals are congruent
b) Equilateral
c) Diagonals bisect each other
9. Determine the correct answers.
Sometimes
a) A square is a rectangle
b)A parallelogram is a rhombus
c)A rhombus is a square
d)A square is a Parallelogram
10. Given rectangle ABCD and the given information to solve each problem.
a) AC
&BD=
= 4x-54 and BD = 33 + 1x, find x =
b) AC =
4x-60
and AE = x + 5, find x =
&
EC =
c) nZBAC= 4x+ L2 and nZDAC = 5x +- 24, find x =
nIDAC=
d)Re
= 9 cm, DC = 15 cm,
find AD =
e) mZEAD = 63o, mIAED = 4x+ 8, find x =
(2 decimal places)
Never
Never
Never
Never
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