Question

Answer always, sometimes, or never.

A) The diagonals of a parallelogram are perpendicular

B) The diagonals of a kite bisect each other

C) A polygon is a quadrilateral

D) Thé diagonals of a rectangle are equal

E) Thé opposite angles of a parallelogram are equal

F) A rhombus is a rectangle

Answer 1

#1

Rhombus has diagonals perpendicular to each other.

• Sometimes

#2

• Kite is basically a Rhombus hence always.

#3

• Sometimes , Quadrilateral is counted among polygon with 4sides

#4

• Always

#5

• Always

#6

All sides of Rhombus are equal where as rectangle has opposite sides equal

• Never

Answer 2

• See below

Explanation:

A) The diagonals of a parallelogram are perpendicular

• Sometimes (rhombus)

B) The diagonals of a kite bisect each other

• Sometimes (one of the diagonals is bisected)

C) A polygon is a quadrilateral

• Sometimes (when it has 4 sides)

D) Thé diagonals of a rectangle are equal

• Always (definition of rectangle)

E) Thé opposite angles of a parallelogram are equal

• Always (definition of parallelogram)

F) A rhombus is a rectangle

• Never (when all interior angles are equal it becomes a square)