Sometimes a kite can be a rhombus (four congruent sides), a dart, or even a square (four congruent sides and four congruent interior angles). Some kites are rhombi, darts, and squares. Not every rhombus or square is a kite.
Can a rhombus also be a kite?
In general, any quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a kite. Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus.
Are a rhombus and a kite similar?
The main difference between a kite and a rhombus is that a rhombus has all equal sides whereas a kite has two pairs of adjacent equal sides. We can say that a rhombus is a kite but a kite may or may not be a rhombus.
Is a kite congruent?
Kites have no parallel sides, but they do have congruent sides. Kites are defined by two pairs of congruent sides that are adjacent to each other, instead of opposite each other.
What does a rhombus and a kite have in common?
RHOMBUS- a quadrilateral in which all four sides are congruent. KITE- a quadrilater in which each pair of consecutive sides are congruent, but opposite sides are not congruent. FORMULAS- The reason these two polygons were grouped together is because they actually have the same formula for their areas.
Why all rhombuses are also kites?
A rhombus has all sides of equal length whereas a kite does not have all sides of equal length. All rhombuses are kites. Since all rhombuses have equal sides and diagonals bisect each other.
Why a rhombus can be called a kite but a kite Cannot be called a rhombus?
A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other and only one pair of opposite angles are equal. All sides of a rhombus are equal and opposite angles are equal. So, all kites are not rhombuses.
Is a rhombus congruent?
All sides of a rhombus are congruent, so opposite sides are congruent, which is one of the properties of a parallelogram. , all 4 sides are congruent (definition of a rhombus).
Does a rhombus have congruent diagonals?
The rhombus has the following properties:
All sides are congruent by definition. The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other.
Do kites have congruent angles?
Theorem: The non-vertex angles of a kite are congruent. Theorem: The diagonal through the vertex angles is the angle bisector for both angles.