Geo: 6.4 Special parallelograms
Based off the properties in the image identify which special parallelogram it is. 
parallelogram
?
rhombus
?
not a parallelogram
?
rectangle
?
square
?
Parallelogram withfour congruent sides andfour congruent angles.
Parallelogram withfour congruent angles.

Match the quadrilateral with its correct description.

square
?
rectangle
?
Parallelogram with
four congruent sides.
Parallelogram withtwo pairs of oppositesides congruent.
rhombus
?
parallelogram
?
diagonals bisect each other. 
diagonals are perpendicular
bisectors of each other. 
rhombus
?
Match the description of the diagonals with the 
 correct quadrilateral
parallelogram
?
diagonals are perpendicularbisectors of each other andare congruent.
diagonals are congruent and
bisect each other. 
square
?
rectangle
?

Given the rectangle ABCD with perimeter = 32cm.


If side AB is three times longer than side BC find side DC.

DC = 

 A

D
x
3x
C
B
FACT: Rhombus is a parallelogram with 4 congruent sides.

ABCD is a rhombus.  Find the length of AB and the perimeter

of ABCD

5.3
AB =
Perimeter of ABCD =
units
FACT: The diagonals of a Rhombus are perpendicular bisectors
of one another.   Find the missing angles in rhombus MNPQ.
m∡MNP =
m∡2 =
m∡ 1 =
42o
1
3
2
FACT: The diagonals of a rectangle are congruent and bisect one another.

Given the rectangle RECT.    Find the following angle measures.
m∡1 =
m∡2 =
m∡3 =
m∡4 =
R
T
3
4
2
E
C
Given PARK is a rectangle with diagonal PR = 39 meters. 

If PK = 15

find the following:
KR = 

Perimeter of PARK =

Area of PARK = 
P
K
A
R

FACT: A Rhombus has 4 congruent sides. 


ABCD is a rhombus.  

 Find the value of y and DB.

DE = 6y + 7
5y2 - 8
4y2 + 1
y =
DB = 
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