Properties of Kite

Q. In the quadrilateral , diagonals do not bisect each other.

1. parallelogram
2. rectangle
3. kite

Q.

Diagonals are not perpendicular in

1. Square

2. Rhombus

3. Rectangle

4. Kite

Q.

Construct the following quadrilateral: Quadrilateral$\text{PLAN. PL = 4 cm, LA = 6.5 cm, ∠P = 90°, ∠A = 110°, ∠N = 85°}$

Q.

$P,Q,R,\mathrm{and}S$ are respectively the mid-points of the sides $AB,BC,CD,\mathrm{and}DA$ of a quadrilateral $ABCD$ such that $AC\perp BD$. Prove that $PQRS$ is a rectangle.

Q.

For a rhombus, the centre of rotation is the point of intersection of ___________.

1. Sides

2. None of these

3. Diagonals

4. mid-points of sides

Q.

When opposite sides are equal and all angles are right angles, then the quadrilateral formed is known as ______ .

1. Trapezium

2. Rectangle

3. Kite

4. Parallelogram

Q.

All kites are rhombuses. (True or False)

1. True
2. False

Q.

If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a

1. Rhombus

2. Rectangle

3. Square

4. Parallelogram

Q. If all the sides in a kite are equal, it is a _________ .

1. Square
2. Rectangle
3. Rhombus
4. Trapezium

Q.

Question 1 (e)
State whether true or false.

(e) All kites are rhombuses.

Q.

In which of the following quadrilaterals, diagonals do not bisect each other ?

1. Square

2. Rhombus

3. Rectangle

4. Kite

Q. Match the following quadrilaterals based on their properties.

1. Square
2. Rectangle
3. Kite

Q. All kites are rhombuses

1. True
2. False
3. Ambiguous
4. Data insufficient

Q. Select the correct option based on the given figure.

1. Insufficient data
2. $\angle$u > $\angle$y
3. $\angle$u < $\angle$y
4. $\angle$u = $\angle$y

Q. In an isosceles triangle, the equal sides measure $\frac{2}{3}\text{(4x - 1)}$ and $\frac{4}{5}\text{(x + 5)}$ units. The value of $\text{x}$ is ___ units.

1. 3.5
2. 3
3. 2.5
4. 2

Q.

Which of the following figures satisfy the following property?

– Has two pairs of congruent adjacent sides.

1. 

2. 

3. 

4. 

Q. A quadrilateral that is not a parallelogram but has exactly two equal opposite angles is a _____.

1. rhombus
2. trapezium
3. square
4. kite

Q.

Which of the following is not a quadrilateral ?

1. Pentagon

2. Trapezium

3. Kite

4. Rhombus

Q.

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

1. i, ii

2. ii, iv

3. i, ii, iii, iv

4. All of them.

Q.

Question 1 (e)
State whether true or false.

(e) All kites are rhombuses.

Q. $ABCD$ is a kite having $AB=AD$ and $BC=CD$. Prove that the figure formed by joining the mid-points of the sides, in order, is a rectangle.

Q. In the given figure, $AC$ and $BC$ are the diagonals of Kite $ABCD$ with $AB=AD$ while $AG$ and $ME$ are the diagonals of rectangle $AEGM$. IF $AD=DG$ and $BG$ is a line segment, then $y$ equals

1. ${21}^0$
2. ${48}^0$
3. ${32}^0$
4. ${62}^0$

Q. How many pair(s) of diagonally opposite angles are equal in a kite?

1. $1$
2. $2$
3. No pair of angles are equal
4. All angles are equal

Q. A kite in which all sides are equal is a ___.

1. Square
2. Rhombus
3. Rectangle
4. Parallelogram

Q. Find the value of the unknowns $x$ and $y$ in the given kite $ABCD$;

Q. Find $\angle$ABC

Q. The diagonals of a kite are perpendicular to each other.

1. False
2. True

Q. In the given kite, $y$ equals

1. ${28}^{\circ }$
2. ${37}^{\circ }$
3. ${20}^{\circ }$
4. ${40}^{\circ }$

Q.

The diagonals of a kite bisect each other.

1. False
2. True

Q. Two sides of a kite have lengths 5.6 cm and 10.2 cm. Then, the perimeter of the kite is

1. 15.8 cm
2. 20.8 cm
3. 26 cm
4. 31.6 cm