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

Is each statement true for parallelogram DEFG?

Groups:

(a) Yes

,

(b) No

• DEFG is a 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

Determine whether the figure is a parallelogram.  If so, state the reason.

• Yes, quadrilateral with 2 pairs of opposite sides ≅

• Yes, quad with any ∠ supplementary to both consecutive ∠s

• Yes, quad with 1 pair of opposite sides || and ≅

• not a parallelogram

• A

• B

• C

• D

• 139

• 41

• 180

• 10

Find the measure of angle b.

• b = 51

• b = 129

For what value of x will the shape be a rhombus?

Mathematical Equivalence

OFF

For what value of x will the shape be a rhombus?

Mathematical Equivalence

OFF