Kite

Q.

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

1. ${80}^{\circ }$

2. ${70}^{\circ }$

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

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

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. 55 cm
3. 48.3 cm
4. 37.6 cm

Q. A quadrilateral with two distinct pairs of equal-length adjacent sides is known as

1. Rhombus
2. Trapezium
3. Parallelogram
4. Kite

Q. A convex quadrilateral, with exactly two pairs of equal consecutive sides is called a _______.

1. trapezium
2. triangle
3. kite
4. parallelogram

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. KITE is a kite. Diagonals KT and IE are _______ to each other.

1. perpendicular
2. parallel
3. bisect
4. diverge

Q. Mention the properties of a kite.
[2 MARKS]

Q.

Below is a picture of a popcorn cup. Can you identify the quadrilateral formed by its lateral faces?

1. Rhombus

2. Trapezium

3. Square

4. Rectangle

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

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

Q. If two angles in a rectangle are (x+30)° and (y+50)°, then the value of 'x+y' is

1. 90°
2. 100°
3. 110°
4. 80°

Q. In a quadrilateral ABCD, AB=CD and BC=AD. Which of the following options is correct?

1. ∆ABC≅∆CDA
   
2. ∆ABC≅∆ADC
   
3. ∆ABD≅∆CAB
   
4. ∆ABC≅∆CAD
   

Q. EFGH is a kite. The measure of $\angle FGH$ will be .

1. 113°
2. 133°
3. 44°
4. 73°

Q. Solve the linear equation:

1. $x=\frac{-7}{3}$
2. $x=\frac{-8}{5}$
3. $x=\frac{9}{5}$
4. $x=\frac{12}{5}$

Q. A quadrilateral having two pairs of equal adjacent sides but unequal opposite sides is called a
(a) parallelogram
(b) rectangle
(c) trapezium
(d) kite

Q.

King Edvard needs you to solve the following system of equations to weaken an evil force and open a chest that has some powerful charms. Choose the correct option.

1. 9
2. 
   
3. 
   
4. 22