Name:
Period: _____
Date: ________________
6.4 Special Parallelograms
Review: What features do all parallelograms have?
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Definitions: YOU NEED TO KNOW THESE!!!
Rhombus:
Rectangle:
Square:
Decide whether the statement is always, sometimes,
or never true. Draw examples!!
a)
A rhombus is a rectangle
b)
A parallelogram is a rectangle
Diagonals of Special Parallelograms
What we already know about diagonals of parallelograms:
Diagonals of a Rectangle are…
Biconditional Statement:
Diagonals of a Rombus are…
Biconditional Statement:
Diagonals of a Square are…
Biconditional Statement:
**All properties of parallelograms are ALSO true for rectangles, rhombii, and square…because they
ARE PARALLELOGRAMS!**
1) ABCD is a rectangle. What else do you know about ABCD?
2) In the diagram, PQRS is a rhombus. What is the value of y?
What property of rhombi will you use?
Equation:
Solve:
3) What is another name for an equilateral quadrilateral?
4) Decide whether the statement is sometimes, always, or never true.
a. A rectangle is a parallelogram.
b. A rectangle is a rhombus.
c. A parallelogram is a rhombus.
d. A square is a rectangle.
5) Which of the following quadrilaterals have the given property? Only one answer for each!
All sides are congruent
a) Parallelogram
All angles are congruent
b) Rectangle
The diagonals are congruent
c) Rhombus
Opposite angles are congruent
d) Square
6) MNPQ is a rectangle. What is the value of x?