MATHEMATICS
Foundation
2016-2017
Topic : Understanding Quadrilaterals TIME : 60 MINS
“
Class : VIII
1.
Date : ______
S
In the given trapezium ABCD, find the value of x.
A
B
R
120°
P
D
2.
x
a
C
e
Consider a kite as shown in the figure, where AC and
BD are diagonals. Find the value of x.
c
Q
2x + 11 3x + 7
B
A
7.
(B) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm?
(C) A = 70° and C = 65º?
D
3.
The co-interior angles of a parallelogram are in the ratio 2 : 3. Find the measure of each of the angles of the
given parallelogram.
4.
In a parallelogram ABCD, A = 75°. Find the measure of B, C, and D
D
A
75°
(A) B + D = 180°?
C
O
Can a quadrilateral ABCD be a parallelogram if
C
B
5.
The ratio of two sides of a parallelogram is 5 : 3. If the
perimeter is 144 cm, then find the lengths of its sides.
6.
In the given figure, PQRS and PSQT are two parallelograms. SRQ = 50° and PTQ = 75°. Find a, b,
c, d, e, f, g.
8.
The two co-interior angles of a parallelogram are 3x –
51° and 5x – 101°. Find all the angles of the parallelogram.
9.
If the sum of two opposite angles of a parallelogram is
260°, then find all the angles of the parallelogram.
10. State True/False.
Two co-interior angles of a parallelogram can be taken
as 13 – 11x° and 18 – 2x°, for some value of x.
11. ABCD is a parallelogram and AO and BO are the internal bisectors of DAB and ABC respectively. Find
the measure of AOB.
D
A
C
O
B
MATHEMATICS
Foundation
2016-2017
Topic : Understanding Quadrilaterals TIME : 60 MINS
Class : VIII
Date : ______
12. How many sides does a regular polygon has if each 20. Find the value of x.
interior angle measures 108°?
70°
13. The exterior angle of a regular polygon is one-third of
its interior angle. How many sides does the polygon
has?
60°
14. The number of sides of a regular polygon with each
exterior angle 60° is
(A) 6
(B) 4
(C) 5
(D) 2
x
15. What is the sum of the measures of the angles of a 21. Find the value of x.
convex quadrilateral? Will this property hold if the quadrilateral is not convex?
70°
16. The angle sum of a convex polygon of 7 sides is
(A) 540°
(B) 1080°
(C) 900°
(D) 1440°
x
60°
17. Find the sum of interior angles of the following poly- 22. Find the value of x + y + z + w.
gons. Also, find the sum of their exterior angles
(A) Octagon
(B) Pentagon
x
18. Find the value of x.
60°
y
80°
120°
x
z
19. Find the value of x + y + x.
x
90°
z
30°
y
w