Conditions of Special Parallelograms

Consider the following Rhombus. Solve for y. 

• y = 7.8

• y = 52°

• y = 23

A quadrilateral opposite angles congruent would best be described as a -?-

• square

• rectangle

• rhombus

• parallelogram

Which statement below can be used to prove that EFGH is a parallelogram?

• EG and FH bisect each other 

• EG and HF are congruent

• EF and FG are congruent 

• EG and DF are congruent

Given m∠E = 100°.  What must be m∠G to prove EFGH is a parallelogram?

• 20

• 80

• 90

• 100

Consider Rhombus KLMN. Solve for x. 

• x = 1

• x = 44.5

• x = 2

• x = 4

Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid. (The symbol that looks like a parallelogram with an "S" in it means "parallelograms")

• Valid.

• Invalid; All four sides of MNRS need to be congruent.

• Invalid; there is no information about the diagonals.

• Invalid; opposite sides must be parallel first. 

Use the diagonals to determine whether a parallelogram with vertices A(2, 7), B(7, 9), C(5, 4), and D(0, 2) is a rectangle, rhombus, or square. Give all the names that apply.

• Rhombus

• Rectangle

• Rectangle, Rhombus, and Square

The following points create what special parallelogram:

(-3,-3) (-3,1) (-1,1) (-1,-3)

• Rectangle

• Rhombus

• Square

• Neither

The following points create what special parallelogram:

(-1,-2) (1,2) (3,-2) (1,-6)

• Rectangle

• Rhombus

• Square

• Neither

The following points create what special parallelogram:

(-2,-1) (5,-1) (5,-3) (-2,-3)

• Rectangle

• Rhombus

• Square

• Neither