Special Parallelograms Flashcards
What is the definition of a rectangle?
A quadrilateral with 4 right angles
If all angles are 90 degrees - opposite angles are congruent so it is a parallelogram
What is the definition of a rhombus?
A quadrilateral with 4 congruent sides
Opposite sides are congruent - it is a parallelogram
What is the definition of a square?
A quadrilateral with four right angles and four congruent sides.
Every square is a rectangle, a rhombus and a parallelogram.
Theorem 5-12
The diagonals of a rectangle are congruent
Theorem 5-13
The diagonals of a rhombus are perpendicular
Theorem 5-14
Each diagonal of a rhombus bisects two angles of the rhombus
Theorem 5-15
The midpoint of the hypotenuse of a right triangle is equidistant form the three vertices
Theorem 5-16
If an angle of a parallelogram is a right angle then the parallelogram is a rectangle
Theorem 5-17
If two consecutive sides of a parallel are congruent, then the parallelogram is a rhombus
A square is _________ a rhombus
A square is always a rhombus
The diagonals of a parallelogram ___________ bisect the angles of the parallelogram
The diagonals of a parallelogram sometimes bisect the angles of the parallelogram
It is true only if it’s a rhombus
A quadrilateral with one pat of sides congruent and one pat if sides parallel is _________ a parallelogram
A quadrilateral with one pair of sides congruent and one pair of sides parallel is sometimes a parallelogram
The diagonals of a rhombus are _______ congruent
The diagonals of a rhombus are sometimes congruent
The rectangle _________ has consecutive sides congruent
A rectangle sometimes has consecutive sides congruent.
True if the rectangle is a square
A rectangle _________ has perpendicular diagonals
A rectangle sometimes has perpendicular diagonals
