write the properties of the given figures
square,rectangle, rhombus,trapezium,parallelogram,kite
Answers
Answer:
square- (side)(side)
rectangle-(l)(b)
rhombus-(1/2)(h)(b)
parallelogram-"
trapezium-(1/2)(b)(h)
Answer:-
Square:
-All four interior angles are equal to 90°
-All four sides of the square are congruent or equal to each other
-The opposite sides of the square are parallel to each other
-The diagonals of the square bisect each other at 90°
-The two diagonals of the square are equal to each other
-The square has 4 vertices and 4 sides
-The diagonal of the square divide it into two similar isosceles triangles
-The length of diagonals is greater than the sides of the square
Rectangle:
-A rectangle is a quadrilateral
-The opposite sides are parallel and equal to each other
-Each interior angle is equal to 90 degrees
-The sum of all the interior angles is equal to 360 degrees
-The diagonals bisect each other
-Both the diagonals have the same length
-A rectangle -with side lengths a and b has the perimeter as 2a+2b units
-A rectangle with side lengths a and b has the area as: ab sin 90 = ab square units
-The sum of the interior angles is equal to 360 degrees
-A diagonal of a rectangle is a diameter of its circumcircle
Rhombus:
-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 bisecting each other at right angles.
-Diagonals bisect the angles of a rhombus.
-The sum of two adjacent angles is equal to 180 degrees.
-The two diagonals of a rhombus form four right-angled triangles which are congruent to each other
-You will get a rectangle when you join the midpoint of the sides.
-You will get another rhombus when you join the midpoints of half the diagonal.
Trapezium:
-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
-The length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium
-Two pairs of adjacent angles of a trapezium formed between the parallel sides and one of the non-parallel side, add up to 180 degrees.
Parallelogram:
-Opposite sides are congruent.
-Opposite angels are congruent.
-Consecutive angles are supplementary.
-If one angle is right, then all angles are right.
-The diagonals of a parallelogram bisect each other.
-Each diagonal of a parallelogram separates it into two congruent triangles.
Kite:
-The two angles are equal where the unequal sides meet.
-It can be viewed as a pair of congruent triangles with a common base.
-It has 2 diagonals that intersect each other at right angles.
-The longer or main diagonal bisects the other diagonal.
-A kite is symmetrical about its main diagonal.