# Class 8

Explore popular questions from Understanding Quadrilaterals for Class 8. This collection covers Understanding Quadrilaterals previous year Class 8 questions hand picked by experienced teachers.

## Mathematics

Understanding Quadrilaterals

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Q 1. The number of sides of a regular polygon whose each exterior angle has a measure of 45°, is

A

5

B

6

C

7

8

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Q 2. If the sides of a quadrilateral are produced in order, the sum of the four exterior angles so formed is

A

180°

360°

C

540°

D

720°

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Q 3. The measure of each angle of a convex quadrilateral is

less than 180°

B

equal to 180°

C

greater than 180°

D

none of these

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Q 4. The angle of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The largest angle is

A

36°

B

72°

C

108°

144°

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Q 5. In the figure, the measure of {tex}\angle c{/tex} is A

65°

115°

C

135°

D

125°

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Q 6. A quadrilateral has three acute angles each measuring 70°. The measure of fourth angle is

A

140°

150°

C

105°

D

120°

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Q 7. If the angle of a quadrilateral are x°, (x - 10)°, (x + 30)° and 2x°, then the greatest angle is

136°

B

180°

C

68°

D

148°

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Q 8. The measures of two angles of a quadrilateral are 115° and 45° and the other two angles are equal. The measure of each of the equal angles is

A

200°

B

120°

100°

D

160°

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Q 9. In a square PQRS, the diagonals bisect at T. Then {tex}\triangle PTQ{/tex} is.

A

An equilateral triangle

B

An isosceles but not right angled

C

A right angled but not isosceles

An isosceles right angled

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Q 10. A diagonal of a rectangle is inclined to one side of the rectangle at 35°. The acute angle between the diagonals is

A

35°

B

45°

70°

D

55°

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Q 11. In fig. ABCD is a rhombus. The value of y- x is 40°

B

50°

C

20°

D

10°

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Q 12. The sum interior angles of a hexagon is

A

180°

B

360°

C

540°

720°

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Q 13. The diagonals of a rhombus ABCD intersect at O, AO = 3 cm, BO = 4 cm then, length of BC is

A

6 cm

B

8 cm

5 cm

D

none.

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Q 14. A quadrilateral whose angles are equal but the only adjacent side are equal, then the quadrilateral is a

square

B

rectangle

C

rhombus

D

parallelogram

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Q 15. The adjacent angles of a parallelogram are in the ratio 4 : 5, then the measure of the adjacent angles is

A

40°, 50°

B

80°, 80°

C

100°, 100°

80°, 100°

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Q 16. One of the diagonals of a rhombus is of the same length as of the side of the rhombus. The angles of the rhombus measure.

A

80°, 100°

B

60°, 80°

C

90°, 90°

60°, 120°

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Q 17. Which of the following is not true ?

A

A plane figure formed by joining a number of points without lifting the pencil from the paper and without retracting any portion of the drawing other then a single point is called a curve.

B

a simple closed curve made up of only line segments is called a polygon.

C is a figure of closed curve.

None of these

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Q 18. Adjacent sides of a polygon are

A

any two sides of the polygon

B

any two sides connecting two non-consecutive vertices of a polygon

any two sides with a common vertex

D

None of these

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Q 19. Adjacent vertices are

A

uncommon vertices of two adjacent sides of a polygon

end points of the same side of a polygone

C

end points of the diagonal of a polygon

D

none of these

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Q 20. In the given figure A

point A and B are in the interior of the curve

B

point B and C are at the exterior of the curve

C

point A is at the exterior of the curve and point C is in the interior of the curve

point A is in the interior of the curve and points C at the exterior of the curve

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Q 21. Which of the following is not true ?

A

a polygon is a convex polygon if the line segment joining any two points inside it lies completely inside the polygon

B

if a polygon has a position of its diagonal in its exterior then it is known as a concave polygon

C

a polygon having all sides and all angles equal is a regular polygon

rhombus is a regular polygon

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Q 22. Which of the following is not true?

A

equilateral triangle is a regular polygon

B

square is a regular polygon

rectangle is a regular polygon

D

a regular polygon is both equiangular and equilateral.

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Q 23. Which of the following is not true

A

every trapezium is a parallelogram but every parallelogram is not a trapezium

B

opposite sides of a parallelogram are not equal

C

opposite angles of a parallelogram are equal

both (A) and (B)

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Q 24. How many diagonals does a regular hexagon have ?

A

2

B

0

C

4

9

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Q 25. The angle sum of a convex polygon with number of sides 7 is

900°

B

1080°

C

1440°

D

720°