projects of mathematics
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डिस प्रोजेक्ट यू शुड डू बाय योरसेल्फ
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✈︎Tʜᴇʀᴇ Aʀᴇ 7 Tʏᴘᴇs Oғ Qᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ:-
★Tʀᴀᴘᴇᴢɪᴜᴍ.
★Pᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ.
★Rʜᴏᴍʙᴜs.
★Rʜɪᴍʙᴏɪᴅ.
★Rᴇᴄᴛᴀɴɢʟᴇ.
★Sǫᴜᴀʀᴇ .
★Kɪᴛᴇ.
☯︎Tʀᴀᴘᴇᴢɪᴜᴍ :)
- ❥︎Amongst the other types of quadrilaterals, a trapezium shows different characteristics, In a trapezium, only one pair of the four sides are parallel to each other. In a trapezium, all the sides may not be equal in measurement but one of the pairs of sides has to be parallel to each other.
➪Pʀᴏᴘᴇʀᴛɪᴇs :-
- ❥︎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.
☯︎Pᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ :)
- ❥︎As the name suggests, a parallelogram is a quadrilateral with parallel opposite sides. In a parallelogram all the opposite sides are equal and the angles made by each opposite side is also equal.
➪Pʀᴏᴘᴇʀᴛɪᴇs :-
- ❥︎The diagonals bisect each other.
- ❥︎One pair of opposite sides is parallel and equal in length.
- ❥︎ Adjacent angles are supplementary.
- ❥︎ Each diagonal divides the quadrilateral into two congruent triangles.
☯︎Rʜᴏᴍʙᴜs :)
- ❥︎A rhombus is also a parallelogram but with all sides equal. In other words, a parallelogram that shows e resemblance to a square as regards its lengths of sides is called a rhombus. These are sometimes referred to as Diamonds also. Rhombus shows a very peculiar feature regarding their diagonals. The diagonals in a rhombus meet exactly in the middle at a right angle and are said to bisect with each other.
➪Pʀᴏᴘᴇʀᴛɪᴇs :-
- ❥︎Opposite angles are equal.
- ❥︎All sides are equal and, opposite sides are parallel to each other.
- ❥︎Diagonals bʏisect each other perpendicularly.
☯︎Rᴏᴍʙᴏɪᴅ :)
- ❥︎Traditionally, in two-dimensional geometry, a rhomboid is a parallelogram in which adjacent sides are of unequal lengths and angles are non-right angled. A parallelogram with sides of equal length is a rhombus but not a rhomboid. A parallelogram with right angled corners is a rectangle but not a rhomboid.
➪Pʀᴏᴘᴇʀᴛɪᴇs :-
- ❥︎All sides of the rhombus are equal.
- ❥︎The opposite sides of a rhombus are parallel.
- ❥︎Opposite angles of a rhombus are equal.
- ❥︎In a rhombus, diagonals bisect each other at right angles.
☯︎Sǫᴜᴀʀᴇ :)
- ❥︎A square is a quadrilateral with all four sides equal. Every vertex of a square makes a right angle with its sides. A square is a quadrilateral which shows the following characteristic:
➪Pʀᴏᴘᴇʀᴛɪᴇs :-
- ❥︎All sides and angles are congruent.
- ❥︎Opposite sides are parallel to each other.
- ❥︎The diagonals are congruent.
- ❥︎The diagonals are perpendicular to and bisect each other.
- ❥︎A square is a special type of parallelogram whose all angles and sides are equals.
☯︎Rᴇᴄᴛᴀɴɢʟᴇ :)
- ❥︎The Rectangle is also a type of parallelogram with a little difference in the angles of the sides. In a rectangle, all the sides are at the right angle or to say perpendicular to each other. The figure below shows a quadrilateral ABCD and since all its sides are parallel to each other we may also call it a type of parallelogram with line segments placed at right angle to each other.
➪Pʀᴏᴘᴇʀᴛɪᴇs :-
- ❥︎All the angles of a rectangle are 90°
- ❥︎Opposite sides of a rectangle are equal and Parallel.
- ❥︎Diagonals of a rectangle bisect each other.
☯︎Kɪᴛᴇ :)
- ❥︎In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent.
➪Pʀᴏᴘᴇʀᴛɪᴇs:-
- ❥︎two pairs of consecutive, congruent sides,
- ❥︎ congruent non-vertex angles and
- ❥︎ perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.
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