Class 9 Maths Important Questions for Quadrilaterals

Question 1
Which are these is true or false about parallelogram

1. The diagonals of a parallelogram bisect each other
2. In a parallelogram, opposite sides and angle are equal.
3. A diagonal of a parallelogram divides it into two congruent triangles
4. The bisectors of the angles of parallelogram create a rectangle
5. Sum of all the internal angles is 360⁰
6. Sum of all the exterior angles is 180⁰
7. Square, rectangle and rhombus are all parallelogram
8. Consecutive angles are supplementary

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Question 2
True or False statement

1. All the angles of the quadrilateral are obtuse
2. Diagonal of the rhombus are equal and perpendicular to each other
3. Diagonal of the square are equal and bisect each other at right angle
4. Out of four points A,B,C,D in place, there are collinear. A quadrilateral can be formed from these points
5. Trapezium, in which the sides that are not parallel are equal in length and angles formed by parallel sides are equal, such trapezium is called isosceles trapezium
6. In a parallelogram, diagonal bisect the angles

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Multiple choice Questions

Question 3
ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD

Which of the following is true based on given information
a. $AP=CQ$
b. $QD=PB$
c. $DP=QB$
d. $\Delta PAD \cong \Delta QCB$
Solution

Question 4
The angles of the quadrilateral are in the ratio 2:5:4:1?
Which of the following is true?
a. Largest angle in the quadrilateral is $150^0$
b. Smallest angle is $30^0$
c.The second largest angle in the quadrilateral is $80^0$
d.None of these
Solution
Question 5
Two adjacent angles in a parallelogram are in the ratio 2:4. Find the values?
a. 80,100
b. 40,140
c. 60,120
d. None of the above
Solution
Question 6
ABCD is a trapezium with AB =10cm, AD=5 cm, BC=4 cm and DC =7 cm?

Find the area of the ABCD
a. 34 cm²
b. 28cm²
c. 20 cm²
d. None of these
Solution
Question 7
PQRS is a quadrilateral whose diagonal bisect each other at right angles
a. PQRS is a Square
b. PQRS is a rectangle
c. PQRS is a rhombus
d. None of these
Solution
Question 8
ABCD is a trapezium where AB||DC. BD is the diagonal and E is the mid point of AD. A line is draw from point E parallel to AB intersecting BC at F. Which of these is true?
a. BF=FC
b. EA=FB
c. CF=DE
d. None of these
Solution
Question 9
ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively
a. PQRS is a rectangle
b. PQRS is a parallelogram
c. PQRS is a rhombus
d. None of these
Solution
Question 10
In a parallelogram PQRS, The bisector of angles P and Q meet at point O as shown in below figure. What is the angle O?
a. 80
b. 90
c. 45
d. None of the above
Solution

Match the column

Rhombus	Is a quadrilateral with only one pair of parallel sides.
Rectangles	Is a quadrilateral whose Two pairs of adjacent sides of a kite are equal, and one pair of opposite angles is equal. Diagonals intersect at right angles. One diagonal is bisected by the other.
Kite	Is a quadrilateral whose all the sides are equal and opposite sides are parallel. Opposite angles are equal.
Right-angled trapezoid	Is a quadrilateral whose opposite sides of a rectangle are parallel and equal. All angles are 90º.
Isosceles trapezoid	A trapezoid having two right angles
Trapezoid	Is a trapezoid whose non parallel sides are equal

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