Conditions of Special Parallelograms

Given that AB = BC = CD = DA, what additional information is needed to conclude that ABCD is a square?

• Segments BC and AD are parallel. Segments AB and DC are parallel. 
• Diagonals BD and AC bisect each other. 
• Angles A, B, C, and D each measure 90 degrees. 
• Diagonals BD and AC are perpendicular.

In a parallelogram, diagonals __________.

• are perpendicular
• bisect each other
• are congruent
• are parallel

In a parallelogram, consecutive angles are __________.

• congruent
• supplementary
• corresponding
• parallel

In a rhombus, all four sides are ___________.

• congruent
• parallel
• perpendicular
• unequal

The diagonals of a rectangle are

• parallel
• congruent
• perpendicular
• not congruent

What does it mean if diagonals are perpendicular (⊥)?

• They bisect the vertex
• Where they intersect is a 90˚ angle
• They are equal
• They cross

Figure A is a...

• Rectangle
• Square
• Rhombus

Figure B is a...

• Rectangle
• Square
• Rhombus

If the figure is a rectangle, the value of x is...

• 2
• 12
• 13
• 28

What is the value of x?

• 132
• 66
• 114
• 48