Which one has all the properties of a kite and a parallelogram?
(a) Trapezium
(b) Rhombus
(c) Rectangle
(d) Parallelogram

Solution:

We have to find the polygon which has all the properties of a kite and a parallelogram.

Properties of a kite:

Two pairs of equal-length sides that are adjacent to each other.

The diagonals intersect each other at right angles.

One pair of opposite angles are equal.

Properties of a parallelogram:

Opposite sides are equal and parallel.

Opposite angles are equal.

Diagonals bisect each other.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides.

A rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. The diagonals bisect each other at right angles.

Therefore, a rhombus satisfies all the properties of a kite and a parallelogram.

✦ Try This: Find the measure of an interior angle of a regular polygon of 9 sides.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 25

Which one has all the properties of a kite and a parallelogram? (a) Trapezium (b) Rhombus (c) Rectangle (d) Parallelogram

Summary:

A rhombus has all the properties of a kite and a parallelogram.

☛ Related Questions:

• The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is (a) 72° (b) 144° . . . .
• In the trapezium ABCD, the measure of ∠D is (a) 55° (b) 115° (c) 135° (d) 125°
• A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle i . . . .