6-6 Conditions of Special Parallelograms

he expressions 4b − 6 and 2b + 4 represent the lengths of the diagonals of parallelogram WXYZ. Write an expression for b that would cause WXYZ to be a rectangle. [i.e. b = #]

Mathematical Equivalence

ON

For rhombus ABCD, what is the length of AC?

Mathematical Equivalence

ON

Is each statement true for parallelogram DEFG?

Groups:

(a) Yes

,

(b) No

• DEFG is a square

Write an expression in terms of x to represent the area of parallelogram PQRS.

Mathematical Equivalence

ON

What is the most precise classification of this quadrilateral?

• parallelogram

• rectangle

• rhombus

• square

What is the most precise classification of this quadrilateral?

• parallelogram

• rectangle

• rhombus

• square

What is the most precise classification of this quadrilateral?

• parallelogram

• rectangle

• rhombus

• square

What is the most precise classification of this quadrilateral?

• parallelogram

• rectangle

• rhombus

• square

What value of x will make the parallelogram a rhombus?

Mathematical Equivalence

ON

If 𝘮∠𝟣 = 28° and 𝘮∠𝟤 = 62°, is PQRS a rhombus, a square, a rectangle, or none of these?

• rhombus

• square

• rectangle

• none of these