Page 189 - ICSE Math 8

2. Fill in the blanks.
(a) A polygon with seven sides is called ____________.
(b) Diagonals of a rhombus are ____________ to each other.
(c) A polygon with least number of sides is a ____________.
(d) A parallelogram with adjacent sides equal is __________________.
(e) An octagon has ____________ sides.

PRACTICE TIME

K N

1. PINK is a rhombus with –IPK = 64º. Find –IKN.
O
64°
P I
2. The diagonals of a rhombus are 6 cm and 8 cm. Find the length of a side of the rhombus.
3. The diagonals of a rectangle ABCD meet at point O. If –BOC = 44º, find D C
–OAD.
4. Two opposite angles of a parallelogram are (3x – 2)º and (50 – x)º. O
Find the measure of each angle of the parallelogram.
5. In parallelogram ABCD, the bisectors of –A and –B meet at point O. B
Find –AOB. A
6. In the parallelogram SNAP given alongside, –PSO = 50º and –NSO = P A
25º and –AOP = 60º. Find –SNO, –OPA, –SAN and –ANP.
60°
O
50°
S 25° N
7. In a quadrilateral ABCD, AO and BO are the bisectors of –A and –B
1 P Q E
respectively. Prove that –AOB = (–C + –D). x
2
S
8. Find the angles x, y, z in the figure given alongside.
y 40°
z
K R
D C

9. In the given figure, ABCD and AEFG are parallelograms. If –C = 55º,
what is the measure of –F? G F

A E B
10. The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the
number of sides of the polygon.
11. Hemant walked diagonally across a rectangular park. Raju walked along the length and breadth of the
park. If the dimensions of park are 30 m × 40 m, how much more did Raju walk than Hemant?

12. A table top is in the shape of a regular hexagon of sides 2 metres. Find the exterior
angle formed at each if its corners.

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