EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polygons
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
How many diagonals does a triangle have?
  • (i)
    3
  • (ii)
    1
  • (iii)
    0
  • (iv)
    2
  • (v)
    4
Question 2
2.
Identify the figure below
  • (i)
    nonagon
  • (ii)
    triangle
  • (iii)
    circle
  • (iv)
    octagon
  • (v)
    decagon
Question 3
3.
Identify the figure below
  • (i)
    circle
  • (ii)
    rhombus
  • (iii)
    trapezium
  • (iv)
    parallelogram
  • (v)
    rectangle
Question 4
4.
How many diagonals does an octagon have?
  • (i)
    17
  • (ii)
    20
  • (iii)
    23
  • (iv)
    19
  • (v)
    21
Question 5
5.
The number of diagonals in a regular polygon with n sides is
  • (i)
    (
    n
    ) (
    n
    2
    )

    2
  • (ii)
    (
    n
    ) (
    n
    +
    2
    )

    2
  • (iii)
    (
    n
    ) (
    n
    1
    )

    2
  • (iv)
    (
    n
    ) (
    n
    3
    )

    2
  • (v)
    (
    n
    ) (
    n
    +
    3
    )

    2
Question 6
6.
Sum of the interior angles in an octagon is
  • (i)
    1110°
  • (ii)
    1090°
  • (iii)
    1095°
  • (iv)
    1085°
  • (v)
    1080°
Question 7
7.
Identify the figure below
  • (i)
    decagon
  • (ii)
    circle
  • (iii)
    nonagon
  • (iv)
    triangle
  • (v)
    quadrilateral
Question 8
8.
The value of each interior angle in an n-sided regular polygon is
  • (i)
    (
    n

    360
    ) °
  • (ii)
    [
    (2n - 4) x 180

    n
    ] °
  • (iii)
    (
    360

    n
    ) °
  • (iv)
    [
    (2n - 4) x 90

    n
    ] °
Question 9
9.
How many diagonals does a quadrilateral have?
  • (i)
    0
  • (ii)
    4
  • (iii)
    2
  • (iv)
    3
  • (v)
    1
Question 10
10.
Identify the figure below
  • (i)
    angle
  • (ii)
    rhombus
  • (iii)
    parallelogram
  • (iv)
    kite
  • (v)
    square
Question 11
11.
Identify the figure below
  • (i)
    rectangle
  • (ii)
    parallelogram
  • (iii)
    rhombus
  • (iv)
    circle
  • (v)
    angle
Question 12
12.
The value of the interior angle in a regular polygon when the exterior angle is given
  • (i)
    180°+ (exterior angle)
  • (ii)
    180°- (exterior angle)
  • (iii)
    360°- (exterior angle)
  • (iv)
    90°+ (exterior angle)
Question 13
13.
    • Find the number of sides in a regular polygon if each
    • interior
    • angle is
    • 120°
  • (i)
    7
  • (ii)
    3
  • (iii)
    6
  • (iv)
    8
  • (v)
    5
Question 14
14.
Sum of the interior angles in a triangle is
  • (i)
    195°
  • (ii)
    210°
  • (iii)
    180°
  • (iv)
    185°
  • (v)
    190°
Question 15
15.
How many diagonals does a nonagon have?
  • (i)
    28
  • (ii)
    29
  • (iii)
    26
  • (iv)
    27
  • (v)
    24
Question 16
16.
How many diagonals does a pentagon have?
  • (i)
    8
  • (ii)
    4
  • (iii)
    5
  • (iv)
    6
  • (v)
    2
Question 17
17.
Identify the figure below
  • (i)
    parallelogram
  • (ii)
    trapezium
  • (iii)
    rectangle
  • (iv)
    quadrilateral
  • (v)
    square
Question 18
18.
Sum of the interior angles in a decagon is
  • (i)
    1450°
  • (ii)
    1470°
  • (iii)
    1445°
  • (iv)
    1440°
  • (v)
    1455°
Question 19
19.
Identify the figure below
  • (i)
    heptagon
  • (ii)
    octagon
  • (iii)
    angle
  • (iv)
    pentagon
  • (v)
    triangle
Question 20
20.
Three angles of quadrilateral measure 70.47°, 111.8° and 56.25° respectively. Find the measure of the fourth angle
  • (i)
    120.48°
  • (ii)
    121.48°
  • (iii)
    119.48°
  • (iv)
    123.48°
  • (v)
    122.48°
Question 21
21.
Sum of the interior angles in a hexagon is
  • (i)
    735°
  • (ii)
    730°
  • (iii)
    720°
  • (iv)
    725°
  • (v)
    750°
Question 22
22.
Sum of the interior angles in a heptagon is
  • (i)
    915°
  • (ii)
    900°
  • (iii)
    910°
  • (iv)
    905°
  • (v)
    930°
Question 23
23.
In the given two equilateral triangles, find ∠D + ∠F + ∠H + ∠E + ∠G + ∠I .
  • (i)
    361°
  • (ii)
    360°
  • (iii)
    362°
  • (iv)
    358°
  • (v)
    359°
Question 24
24.
Two adjacent angles of a parallelogram FGHI are in the ratio 3 : 7. Find the measure of each of its angles.
  • (i)
    F
    =
    52°
    ,
    G
    =
    128°
    ,
    H
    =
    53°
    ,
    I
    =
    127°
  • (ii)
    F
    =
    55°
    ,
    G
    =
    125°
    ,
    H
    =
    56°
    ,
    I
    =
    124°
  • (iii)
    F
    =
    56°
    ,
    G
    =
    125°
    ,
    H
    =
    52°
    ,
    I
    =
    127°
  • (iv)
    F
    =
    53°
    ,
    G
    =
    124°
    ,
    H
    =
    55°
    ,
    I
    =
    128°
  • (v)
    F
    =
    54°
    ,
    G
    =
    126°
    ,
    H
    =
    54°
    ,
    I
    =
    126°
Question 25
25.
How many diagonals does a heptagon have?
  • (i)
    16
  • (ii)
    14
  • (iii)
    13
  • (iv)
    11
  • (v)
    15
    Assignment Key

  •  1) (iii)
  •  2) (ii)
  •  3) (iii)
  •  4) (ii)
  •  5) (iv)
  •  6) (v)
  •  7) (i)
  •  8) (iv)
  •  9) (iii)
  •  10) (iv)
  •  11) (ii)
  •  12) (ii)
  •  13) (iii)
  •  14) (iii)
  •  15) (iv)
  •  16) (iii)
  •  17) (v)
  •  18) (iv)
  •  19) (ii)
  •  20) (ii)
  •  21) (iii)
  •  22) (ii)
  •  23) (ii)
  •  24) (v)
  •  25) (ii)