8th Quadrilateral and Parallelogram solved Extra Edugain Questions

1. How many diagonals does each of the following have?

(a) A convex quadrilateral (b) A regular hexagon (c) A triangle

Answer: (a) 2 (b) 9 (c) 0

2. What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? Using the formula: (n - 2)180°

3.What can you say about the angle sum of a convex polygon with number of sides?(a) 7 (b) 8 (c) 10

4. What is a regular polygon? State the name of a regular polygon of (i) 3 sides (ii) 4 sides (iii) 6 sides

5. . Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides

8. How many sides does a regular polygon have if the measure of an exterior angle is 24°? Number of sides of a polygon =360/exterior angle

9. How many sides does a regular polygon have if each of its interior angles is 165°?

Exterior Angle = 180°-interior angle

10. (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?

(b) Can it be an interior angle of a regular polygon? Why?

[ If interior angle is 22° then the exterior angle  = 180°-22°=158°On dividing 360° by 158° we can’t get answer in whole number, so such a polygon is not possible.]
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MULTIPLE CHOICE QUESTIONS CLASS VIII: GEOMETRY

1. A simple closed curve made up of only _____________ is called  a polygon .

(a) curves      (b)  line segments    (c) lines        (d) closed  curves

2. A  polygon with minimum  number  of sides is 

(a) Pentagon    (b)  Square            (c) triangle         (d)   angle  

3.Polygons  that  have no portions of their  diagonals   in their  exteriors  are  called 

(a) Squares         (b) triangles     (c) convex            (d)   concave

4.   Polygons  that  have     any   portions of their  diagonals   in their  exteriors  are  called 

 (a) Squares    (b) triangles        (c) convex            (d)   concave

5. All the  sides  of a regular  polygon  are _________________.

(a)   Parallel    (b) equal   in length  (c) not  parallel   (d) not equal

6.  . All the  angles  of a regular  polygon  are   of   ________________.

 (a) 90 ^o          (b) 60 ^o    (c)  equal  measure       (d) equal  length

7.   Sum  of all interior  angles  of  a  polygon  with  (n) sides is given by

(a) (n – 2) x 180 ^o (b) n – 2  x 180 ^o (c) (n + 2 )x180 ^o (d)  n + 2x 180 ^o

8.   Maximum  number  of  right angles in  a  right  angled  triangle  are

(a) 2               (b)  1              (c)  3                         (d) 0

9.Sum  of  all  interior  angles  of a parallelogram   is 

(a) 180 ^o          (b) 360^o        (c) 540^o                     (d) 240^o

10.  The   angle  sum  of all interior  angles  of a convex   polygon  of sides  7 is

(a) 180 ^o        (b) 540 ^o           (c)  630 ^o                    (d) 900 ^o

11. Each  exterior   angle  of a regular  hexagon  is of  measure 

(a) 120 ^o       (b) 80 ^o              (c)100 ^o                        (d) 60 ^o

12.  The  number  of  sides  in a  regular  polygon  is 15 , then  measure  of  each exterior angle is

 (a) 24^o   (b)   36^o             (c)20^o             (d)18^o

13.   The measure of  each interior  angle  of a regular  polygon  is   140^o, then  number of sides that   regular  polygon has ________

 (a) 15         (b)  12             (c)  9              (d) 10

14. A parallelogram each of whose angles measures 90^o is ______.

(a)rectangle      (b)rhombus      (c)kite                   (d)trapezium

15.  A parallelogram whose all sides are equal is called

(a)square     (b)rhombus  (c)rectangle    (d) trapezium

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