6.4 Rhombuses, Rectangles, and Squares
Warm up:
ABCD is a parallelogram. Find each
measure.
A. CD
B. mC
Objective:
 Use properties of special types of parallelograms.
Rhombus: ______________________________________________________________________



Rectangle: _____________________________________________________________________

Square: _______________________________________________________________________


1) In the diagram, ABCD is a rectangle.
a. Find AD and AB.
b. Find 𝑚∠𝐴, 𝑚∠𝐵, 𝑚∠𝐷, 𝑎𝑛𝑑 𝑚∠𝐷.
2) In the diagram, PQRS is a rhombus. Find QR, RS, and SP.
A corollary __________________________________________________________________________
___________________________________________________________________________________
Rhombus corollary: ___________________________________________________________________
___________________________________________________________________________________
Rectangle corollary: __________________________________________________________________
___________________________________________________________________________________
Square corollary: ____________________________________________________________________
___________________________________________________________________________________
Use the information in the diagram to name the special quadrilateral.
1)
2)
3)
We wrote this before, but it’s important to remmeber that __________________________________________________
_____________________________________________________________________________________________________________________
ABCD is a rhombus. Find the value of x.
1)
2)
We wrote this before, but it’s important to remmeber that __________________________________________________
_____________________________________________________________________________________________________________________
1a) You nail four pieces of wood together to build a four-sided frame, as shown. What is the shape
of the frame?
b) The diagonals measure 7 ft 4 in. and 7 ft 2 in. Is the frame a rectangle?
2) rectangle EFGH . Find the value of x.
3) square JKLM. Find the value of x.