write properties of following :-
1. parallelogram
2. rectangle
3. rhombus
4. square
5. Trapezium
Answers
Answer:
Properties of a parallelogram
Opposite sides are parallel and congruent.
Opposite angles are congruent.
Adjacent angles are supplementary.
Diagonals bisect each other and each diagonal divides the parallelogram into two congruent triangles.
If one of the angles of a parallelogram is a right angle then all other angles are right and it becomes a rectangle.
All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles). All the properties of a rectangle apply (the only one that matters here is diagonals are congruent). All sides are congruent by definition.
The diagonals of a square bisect each other and meet at 90°.
The diagonals of a square bisect its angles.
Opposite sides of a square are both parallel and equal in length.
All four angles of a square are equal (each being 360°/4 = 90°, a right angle).
All four sides of a square are equal.
trapezium has the following properties: Like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360° A trapezium has two parallel sides and two non-parallel sides. The diagonals of regular trapezium bisect each other.
Step-by-step explanation: