Question

Explain about the properties of the following quadrilaterals:-

Answer 1

Parallelogram :
1. opposite sides are parallel
2. opposite angles are congruent
3. opposite sides are congruent
4. diagonals bisect each other
5. consecutive angles are supplementary

Rhombus:
1. has all the properties of a parallelogram
2. four sides are equal in length
3. diagonals are perpendicular
4. diagonals bisect each pair of opposite angles

Rectangle:
1. has all the properties of a parallelogram
2. diagonals are congruent
3. contains four right angles

Square:
1. has all the properties of a parallelogram
2. diagonals are congruent and perpendicular
3. is a rectangle with all sides congruent
4. is a rhombus with four right angles

Trapezoid:
1. one pair of opposite sides that are parallel
2. two parallel sides are called bases and the non-parallel sides are the legs
3. No sides, angles and diagonals are congruent.

Isosceles Trapezoid:
1. appears symmetrical, and that the diagonals are equal in length.
2. base angles that are congruent, i.e the two smaller angles are congruent to each other, and the two larger angles are congruent to each other.
3. has two of the opposite triangles formed by the diagonals that are similar to each other, meaning all their sides and angles are in proportion. The other two opposite triangles formed are congruent to each other by side-side-side.

Kite:
1. A kite is a quadrilateral that has exactly two distinct pairs of adjacent congruent sides