Which one has all the properties of a kite and a parallelogram?
Which one has all the properties of a kite and a parallelogram?
The correct option is B Rhombus
Determine the properties of a kite and a parallelogram.
The explanation for the correct option:
Option (B): Rhombus
A rhombus possesses all the characteristics of both a kite and a parallelogram.
The four-sided quadrilateral rhombus is a special case of the parallelogram. The opposite sides of a rhombus are parallel, and the angles on the opposite sides are equal. A rhombus also has equal length sides.
Properties of rhombus:
- The rhombus has equal length on all sides.
- The rhombus' opposite sides were parallel.
- The rhombus has equal opposite angles.
- Diagonals in a rhombus are at right angles to each other.
- Angles in a rhombus are bisected by diagonals.
Hence, the correct answer is “Option B”.
The explanation for the incorrect options:
Option (A): Trapezium
The trapezium is a convex quadrilateral having one pair of opposite sides that are perpendicular to each other.
Option (C): Rectangle
The rectangle is a parallelogram with all of its angles being right angles, especially including one unequally long neighboring side.
Option (D): Parallelogram
The parallelogram is a quadrilateral that has two parallel sides.
Hence, “Option A, Option C, Option D” are incorrect Options.
Hence, the correct answer is “Option B”.
Rhombus
Determine the properties of a kite and a parallelogram.
The explanation for the correct option:
Option (B): Rhombus
A rhombus possesses all the characteristics of both a kite and a parallelogram.
The four-sided quadrilateral rhombus is a special case of the parallelogram. The opposite sides of a rhombus are parallel, and the angles on the opposite sides are equal. A rhombus also has equal length sides.
Properties of rhombus:
- The rhombus has equal length on all sides.
- The rhombus' opposite sides were parallel.
- The rhombus has equal opposite angles.
- Diagonals in a rhombus are at right angles to each other.
- Angles in a rhombus are bisected by diagonals.
Hence, the correct answer is “Option B”.
The explanation for the incorrect options:
Option (A): Trapezium
The trapezium is a convex quadrilateral having one pair of opposite sides that are perpendicular to each other.
Option (C): Rectangle
The rectangle is a parallelogram with all of its angles being right angles, especially including one unequally long neighboring side.
Option (D): Parallelogram
The parallelogram is a quadrilateral that has two parallel sides.
Hence, “Option A, Option C, Option D” are incorrect Options.
Hence, the correct answer is “Option B”.
