Conditions for Parallelograms

ABCD is a parallelogram. Is DE congruent to EB?

• Yes

• No

• Not enough information

ABCD is a parallelogram. Is DE congruent to CE?

• Yes

• No

• Not enough information

ABCD is a parallelogram. Solve for x.

• x = 5

• x = 13

• x = 3

• x = 8

Find m<V.

• 137°

• 43°

• 122°

• 141°

Is there enough information to determine that this quadrilateral is a parallelogram?

• yes

• no

The opposite sides of a parallelogram are...

• congruent

• perpendicular

• skew

• supplementary

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

Parallelogram ABCD has diagonals with lengths AC = 7x + 6 and BD = 9x − 2. For which value of x is ABCD a rectangle?

• 2

• 4

• 7

• 9

• 34

Are the following terms valid classifications for the figure?

Groups:

(a) Yes

,

(b) No

• rhombus

• trapezoid

• rectangle

• kite

• square

• parallelogram