State one difference between.
a) kite and a parallelogram
b) a rhombus and a square
Answers
Answer:
a) parrelellogram has all sides parrelel kite has none
b) square has all angles equal to 90° rhombus doesn't
a)=>>>>>>>..
A rhombus and a kite are both quadrilaterals. But they have different properties. They are given below:
Rhombus:-
Its properties are
(a) All sides are equal.
(b) Opposite sides are parallel.
(c) Opposite angles are equal.
(d) Diagonals bisect each other at right angles.
(e) Diagonals bisect the angles.
(f) Any two adjacent angles add up to 180 degrees.
(g) The sum of the four exterior angles is 4 right angles.
(h) The sum of the four interior angles is 4 right angles.
(i) The two diagonals form four congruent right angled triangles.
(j) Join the mid-points of the sides in order and you get a rectangle.
(k) Join the quarter points of the diagonals in order and you get a rhombus.
(l) The distance of the point of intersection of the two diagonals to the mid point of the sides will be the radius of the circumscribing of each of the 4 right-angled triangles.
(m) The area of the rhombus is a product of the lengths of the 2 diagonals divided by 2.
(n) The lines joining the midpoints of the 4 sides in order, will form a rectangle whose length and width will be half that of the main diagonals. The area of this rectangle will be one-fourth that of the rhombus.
(o) If through the point of intersection of the two diagonals you draw lines parallel to the sides, you get 4 congruent rhombus each of whose area will be one-fourth that of the original rhombus.
(p) There can be no circumscribing circle around a rhombus.
(q) There can be no inscribed circle within a rhombus.
(r) Two congruent equilateral triangles are formed if the shorter diagonal is equal to one of the sides.
(s) Two congruent isosceles acute triangles are formed when cut along the shorter diagonal.
(t) Two congruent isosceles obtuse triangles are formed when cut along the longer diagonal.
(u) Four congruent RATs are formed when cut along both the diagonals. These RATs cannot be isosceles RATs.
(v) Join the quarter points of both the diagonals and you get a similar rhombus of 1/4th area as the parent rhombus.
(w) Rotate the rhombus around the major diagonal, you get a double cone (cone having the same base) whose total height is more than the common base diameter.
(x) Rotate the rhombus around the minor diagonal, you get a double cone (cone having the same base) whose total height is less than the common base diameter.
Kite:-
Its properties are
(a) There are two pairs of adjacent sides that are equal.
(b) There is only one pair of angles that are equal.
(c) One diagonal bisects the other at right angles.
(d) The sum of the four exterior angles is 4 right angles.
(e) The sum of the four interior angles is 4 right angles.
(f) The area of a kite is a product of the diagonals divided by 2.
(g) One diagonal bisects the angles at either end.
(h) It can be a cyclic quadrilateral.
(i) Join the mid points of the 4 sides in order and you get a rectangle.
(j) Join the quarter points of the diagonals and you get a similar kite whose area will be one-fourth of the original kite.
(k) The diagonals form 2 pairs of congruent right angled triangles.
(l) Two adjacent angles are not supplementary.
(m) Rotate a kite about a diagonal that connects the unequal angles and we get a double cone whose maximum diameter is equal to the other diagonal. The two cones have different heights but their sum will the same as the diagonal which is the axis of rotation.
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b)=>>>>>>>>...
Difference Between Square & Rhombus
The key difference between square and rhombus is square has all its angle equal to 90 degrees, but rhombus does not have. But both the shapes have all their sides as equal. See the below figure to know the difference.
Difference Between Square and Rhombus.
Definition of Square and Rhombus
Square: A square is a four-sided polygon which has all its sides equal in length, and all the angles are equal to 90 degrees. The length of the diagonals is also equal.
Rhombus:
A rhombus is also a four-sided polygon, and all the sides are equal in length. The opposite angles of a rhombus are equal, and the diagonals bisect each other at 90 degrees.
About squares and its properties
Rhombus and its properties
What is the difference between a Square and a Rhombus?
Square and Rhombus Differences
Square .
The diagonal lengths of a square are of the same measure. The diagonal lengths of a rhombus are of different measure.
All the interior angles of square measures 90 degrees (i.e., right angle) In a rhombus, the opposite angles are of the same measure.
Square and Rhombus Similarities
A Square is a quadrilateral. A Rhombus is also a quadrilateral.
All sides of a square are equal in length. Similar to the square, all the sides of a rhombus are also of equal length.
Opposite sides are parallel to each other. Opposite sides of a rhombus are also parallel to each other.