Kite

Q. Two sides of a kite have lengths 7.8 cm and 11 cm. Then the perimeter of the kite is

1. 45.5 cm
2. 48.3 cm
3. 37.6 cm
4. 55 cm

Q.

The diagonals of a kite bisect each other.

1. True

2. False

Q. Which of the following is true about kite?

1. All the sides of the kite are equal.
2. The diagonals of the kite are perpendicular bisectors.
3. The sum of diagonally opposite angles are always supplementary.
4. The diagonals are perendicular to each other

Q.

In a kite, the longest diagonal bisects the angles at the vertices.

1. True

2. False

Q.

Prove that an isosceles trapezium is always cyclic.

Q.

If one angle of a parallelogram is 90 degrees and it’s adjacent sides are equal, then it is a _______ .

1. square

2. rectangle

3. trapezium

4. none of the above

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

1. parallel
2. perpendicular
3. equidistant

Q.

In Fig., AB || DC. If x = $\frac{4}{3}$ y and y = $\frac{3}{8}$ z, find $\angle$BCD, $\angle$ABC and $\angle$BAD?
[3 MARKS]

Q. O is the point of intersection of the diagonals AC and BD of a trapezium ABCD with ABIIDC. Through o, a line segment PQ is drawn parallel to AB meeting AD is P and BC in Q, prove that PO = QO.

Q. ABCD is a kite and it's perimeter is 60 cm. Find the value of AB + AD.

1. 30 cm
2. 50 cm
3. 60 cm
4. 40 cm

Q.

For which of the following figures, diagonals are perpendicular to each other?

1. Parallelogram

   

2. Kite

   

3. Trapezium

   

4. Rectangle

   

Q.

Can the angles $110º,80º,70º$ and $95º$ be the angles of a quadrilateral? Why or why not?

Q.

Let ABCD be a kite with AC and BD as diagonals and $\angle ABC$ = ${30}^{\circ }$. Then $\angle ACB$=.

1. 70°
2. 75°
3. 80°
4. 85°

Q.

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

1. ${70}^{\circ }$

2. ${80}^{\circ }$

3. ${75}^{\circ }$

4. ${85}^{\circ }$

Q.

Opposite sides are not equal in

1. Square

2. Kite

3. Rectangle

4. Rhombus

Q. Two sides of a kite have lengths 7.8 cm and 11 cm. Then the perimeter of the kite is

1. 45.5 cm
2. 48.3 cm
3. 37.6 cm
4. 55 cm

Q. ABCD is a kite and it's perimeter is 60 cm. Find the value of AB + AD.

1. 40 cm
2. 60 cm
3. 30 cm
4. 50 cm

Q. Question 4
For which of the following, diagonals are perpendicular to each other?
a) Parallelogram
b) Kite
c) Trapezium
d) Rectangle

Q. What is parallel method

Q. The adjacent figure PQRS is a trapezium in which $SP\parallel RQ$, find the measures of $\angle P$ and $\angle R$. [2 MARKS]

Q.

The number of sides in a kite is

___.

Q. Which of the following is not a property of kite?

1. There are two distinct consecutive pairs of sides of equal length
2. There is one set of congruent angles
3. The diagonals intersects perpendicularly
4. The diagonals are of equal length

Q.

In figure A, B, C, and D, E, F are two sets of collinear points, Prove that AD $\parallel$ CF. [2 MARKS]

Q. Question 2 (a)
How many diagonals does each of the following have?
(a) A convex quadrilateral

Q. A 15 high tower casts a shadow 24 long at a certain time and at the same time, a telephone pole casts a shadow 16 long. Find the height of the telephone pole.

Q.

Find the measures of the four angles of a quadrilateral if they are in the ratio 3:5:7:9

Q. Explain how this figure is a trapezium, Which of its two sides are parallel?

Q. The diagonals of an isosceles trapezium are

1. (1) and (2) both
2. equal
3. unequal
4. none of these

Q.

Question 1 (g)
State whether true or false.

(g) All parallelograms are trapeziums.

Q. Tick (✓) the correct answer:
The diagonals do not necessarily intersect at right angles in a
(a) parallelogram
(b) rectangle
(c) rhombus
(d) kite