Kite

Q. A __ is a quadrilateral with two pairs of adjacent sides equal.

Q.

A kite is quadrilateral with two pairs of adjacent sides equal in length.

1. True

2. False

Q.

The figure formed by joining the mid points of consecutive sides of a quadrilateral is

1. Square

2. Isosceles triangle

3. Parallelogram

4. Trapezium

Q. Question 113
State whether the statements are True or False.
Every kite is a parallelogram.

Q.

For which of the following quadrilateral, do the diagonals intersect each other at ${90}^{\circ }$?

1. Rectangle

2. Rhombus

3. Kite

4. Square

Q.

In the given figure, ABCD is a kite with AC and BD as diagonals and $\angle ABC$ = ${30}^{\circ }$. Find$x$.

Q.

What is the necessary condition for a quadrilateral to be a parallelogram?

1. A diagonal divides it into two congruent triangles

2. It has opposite sides parallel

3. It has adjacent sides equal
4. The diagonals bisect each other at

Q.

In the given figure, ABCD is a kite with AC and BD as diagonals and $\angle ABC$ = ${30}^{\circ }$. Find $x$.

1. ${75}^{\circ }$

2. ${85}^{\circ }$

3. ${80}^{\circ }$

4. ${70}^{\circ }$

Q.

The fundamental difference between a rhombus and a kite is that the sum of adjacent angles are supplementary in a kite.

1. Congruent only.

2. Parallel only.

Q.

The bisector of the vertical angle of an isosceles triangle.

1. Bisects the opposite side

2. Divides the opposite side in the ratio 1:2

3. Is equal in length to the opposite side

4. Is at 60 degrees angle to the opposite side

Q. If ABCD is a kite then, find the value of x and y.

1. x = 3, y = 1
2. x = 4, y = 0
3. x = 2, y = 2
4. x = 1, y = 3

Q.

Which of the given statements is incorrect

1.Diagonals of the parallelogram bisect each other.
2.If the Diagonals of a quadrilateral bisect each other, it is a parallelogram.
3.Diagonals of a parallelogram are equal.
4.Diagonals of the parallelogram are perpendicular to each other

1. Statements 2 and 4

2. Statement 3

3. Statement 4

4. Statements 3 and 4

Q. A kite is a quadrilateral with

1. Two pairs of adjacent sides equal in length
2. One pair of adjacent sides equal in length
3. All sides equal in length
4. Equal diagonals

Q.

The given figure shows a rectangle ABCD, where BC = 4 cm. Diagonals AC and BD intersect at point O. AO = 2.5 cm.

What is the perimeter of rectangle ABCD?

1. 14 cm

2. 24 cm

3. 26.8 cm

4. 27.3 cm

Q. If ABCD is a kite then, find the value of x and y.

1. x = 3, y = 1
2. x = 4, y = 0
3. x = 2, y = 2
4. x = 1, y = 3

Q. If in a kite ABCD, AB=3 cm and BC=5 cm, then AD + CD = .

1. 3 cm
2. 5 cm
3. 8 cm
4. 10 cm

Q.

In the given quadrilateral, $QS$ is the bisector of $\angle S$ and $\angle Q$. $PS=5cm$ and $PQ=8cm$. Fin the measure of $SR$.

1. $5cm$

2. $8cm$

3. $6cm$

4. $13cm$

Q. Which quadrilateral has the properties of both rectangle and rhombus?

1. square
2. parallelogram
3. trapezium
4. none of these

Q. Prove that line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of parallel sides.

Q. A __ is a quadrilateral with two pairs of adjacent sides equal.

Q. If in a kite ABCD, AB = 3 cm and BC = 5 cm, then find the value of AD + CD.

1. 3 cm
2. 5 cm
3. 10 cm
4. 8 cm

Q. A kite is a quadrilateral with

1. Two pairs of adjacent sides equal in length
2. One pair of adjacent sides equal in length
3. All sides equal in length
4. Equal diagonals

Q.

Make the statement true using the terms All, Some or No:

parallelograms are also quadrilaterals.

Q.

State true or false: All kites are rhombuses.

1. True
2. False

Q.

A kite is a quadrilateral with two pairs of adjacent sides equal in length.

1. False

2. True

Q. Which of the following conditions is necessary for a quadrilateral to be a trapezium?
A. All the sides must be equal
B. All the angles must be equal
C. A pair of opposite sides must be parallel
D. A pair of opposite sides must be equal

Q.

5. Write the names of the following polygon.

Q.

Q. If ABCD is a kite then, find the value of x and y.

1. x = 3, y = 1
2. x = 4, y = 0
3. x = 2, y = 2
4. x = 1, y = 3

Q. If the measure of one angle in a parallelogram is 24° less than twice the smallest angle, find all angles of the parallelogram.