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Maths Assignment Class VIII | Quadrilateral

 Math Assignment  Class VIII  

Understanding Quadrilateral 

Important extra questions on Quadrilateral class 8 strictly according to the DAV board and CBSE Board, necessary for board examinations.

Understanding Quadrilateral 

chapter - 11, class - 8

Question 1

(i) Two adjacent angles of a parallelogram are (5x + 65)o and (85 – 2x)o. Find the measure of each angle of a parallelogram.

(ii) Two adjacent angles of a parallelogram are of measure (4x + 2)o and (3x - 4)oFind the measure of each angle of the parallelogram.

(iii) Two adjacent angles of a parallelogram are in the ratio 1 : 2. Find all the angles of parallelogram.

Question 2

A pair of adjacent sides of a rectangle is in the ratio of 5 : 12. If the length of the diagonal is 26 cm. Find the lengths of sides and perimeter of the rectangle.

Question 3

ABCD is a rectangle in which DP and BQ are perpendiculars from D and B respectively on diagonal AC. Show that :

(i) △ADP  CBQ

(ii) ADP = CBQ

(iii) DP = BQ

Question 4

In the given figure ABCD is a parallelogram. If DAB= 75o and DBC= 60o, Calculate CDB and ADB

Question 5
PQRS is a rectangle. ST is perpendicular from S on diagonal PR. If ∠PST : ∠RST = 4 : 5. Find ∠TPQ.
Question 6
Two adjacent angles of a rhombus are in the ratio 2 : 3. Find all the angles of the rhombus.
 

Question 7
In the given figure both RIsK and ClUE are parallelogram. Find the value of x.
Question 8
PQRS is a rhombus. If PSQ = 55o, find all the angles of the rhombus.
Question 9
In the given parallelogram PQRS, O is the mid point of SQ. Find ∠S, ∠R, PQ, QR  and diagonal PR.
Question 10
In the figure, l || m and 't' is the transversal. The angle bisectors of interior angles intersect at P and Q. Find the values of angles x and y.
Question 11
Find the measure of ∠x  in the given figure.
Question 12
The lengths of a pair of adjacent sides of a rectangle are in the ratio 3 : 4. If its diagonal is 50 cm, find the lengths of the sides and hence, the perimeter of the rectangle.
Question 13
PQRS is a rhombus. If PSQ = 40o, find the angles of the rhombus.
Question 14
Exterior angle of a parallelogram is 100o. Find the angles of parallelogram ?

Question 15
The diagonals of a rectangle ABCD intersect at O. If ∠BOC = 68o, find ∠ODA.

Question 16

ABCD is a rhombus and its diagonals intersect at O.

(i) Is △BOC  ≌ △DOC ? State the congruence condition used.

(ii) Also state, if ∠BCO = ∠DCO

Question 17

In the given figure the exterior angle ABX of parallelogram ABCD is 70o and O is the mid point of diagonal BD, Find ∠BAD and ∠ADC. Also find the length of diagonal AB, when OC = 3 cm.

Question 18

In given figure, ABCD is a rectangle and diagonals intersect at O. If AOB = 108o, find

(i) ABO    (ii) ADO     (iii) OCB

Question 19

In the given figure, PQRS is a rectangle, If PRQ = 30o , find the value of PQS.
 
Question 20
The lengths of the diagonals of a rhombus are in ratio 6 : 8. If its perimeter is 40 cm. Find the length of the shorter diagonal.

Question 21
Find the measure of x in the given figure 
Question 22.
Diagonals of a rhombus intersect each other at O. If ∠BOC = 68o , find ∠ODA.

Question 23.
A diagonal and a side of a rhombus are of equal length. Find the measure of the angles of the rhombus.



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