Special Parallelograms

Question 1

What is the definition of a rectangle?

Answer 1

A quadrilateral with 4 right angles

If all angles are 90 degrees - opposite angles are congruent so it is a parallelogram

Question 2

What is the definition of a rhombus?

Answer 2

A quadrilateral with 4 congruent sides

Opposite sides are congruent - it is a parallelogram

Question 3

What is the definition of a square?

Answer 3

A quadrilateral with four right angles and four congruent sides.

Every square is a rectangle, a rhombus and a parallelogram.

Question 4

Theorem 5-12

Answer 4

The diagonals of a rectangle are congruent

Question 5

Theorem 5-13

Answer 5

The diagonals of a rhombus are perpendicular

Question 6

Theorem 5-14

Answer 6

Each diagonal of a rhombus bisects two angles of the rhombus

Question 7

Theorem 5-15

Answer 7

The midpoint of the hypotenuse of a right triangle is equidistant form the three vertices

Question 8

Theorem 5-16

Answer 8

If an angle of a parallelogram is a right angle then the parallelogram is a rectangle

Question 9

Theorem 5-17

Answer 9

If two consecutive sides of a parallel are congruent, then the parallelogram is a rhombus

Question 10

A square is _________ a rhombus

Answer 10

A square is always a rhombus

Question 11

The diagonals of a parallelogram ___________ bisect the angles of the parallelogram

Answer 11

The diagonals of a parallelogram sometimes bisect the angles of the parallelogram

It is true only if it’s a rhombus

Question 12

A quadrilateral with one pat of sides congruent and one pat if sides parallel is _________ a parallelogram

Answer 12

A quadrilateral with one pair of sides congruent and one pair of sides parallel is sometimes a parallelogram

Question 13

The diagonals of a rhombus are _______ congruent

Answer 13

The diagonals of a rhombus are sometimes congruent

Question 14

The rectangle _________ has consecutive sides congruent

Answer 14

A rectangle sometimes has consecutive sides congruent.

True if the rectangle is a square

Question 15

A rectangle _________ has perpendicular diagonals

Answer 15

A rectangle sometimes has perpendicular diagonals

Question 16

The diagonals of a rhombus _______ bisect each other

Answer 16

The diagonals of a rhombus always bisect each other

Question 17

The diagonals of a parallelogram are _________ perpendicular bisectors of each other

Answer 17

The diagonals of a parallelogram are sometimes perpendicular bisectors of each other