Quadrilateral Test

Q 1. The diagonals do not necessarily bisect the interior angles at the vertices in a
A. rhombus
B. square
C. rectangle
D. all of these

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Answer:-C. rectangle

Q 2. In figure, ABCD is a trapezium in which side AB is parallel to side DC and E is the midpoint of side AD. If F is a point on side BC such that the segment EF is parallel to side DC, then the value of EF is equal to

A. 1/4(AB + DC)
B. 1/3(AB + DC)
C. 1/2(AB + DC)
D. 2/3(AB + DC)

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Answer:-C. 1/2(AB + DC)

Q 3. Three angles of a quadrilateral are 54º, 80º and 116º. Find the measure of the fourth angle.
A. 70^o
B. 90^o
C. 110^o
D. 120^o

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Answer:-C. 110o

Q 4. The sum of angles of a quadrilateral is _____ right angles.
A. two
B. four
C. one
D. none of these

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Answer:-B. four

Q 5. In the adjoining figure, AP and BP are angle bisectors of ∠A and ∠B which meet at P of a parallelogram ABCD. Then 2∠APB = 

A. ∠A + ∠B
B. ∠A + ∠C
C. ∠B + ∠D
D. ∠C + ∠D
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Answer:-D. ∠C + ∠D

Q 6. Is it possible to have a regular polygon with a measure of each exterior angle as 22º.
A. Yes
B. No

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Answer:-B. No

Q 7. The no. of pairs of opposite angles of a quadrilateral is _____.
A. 3
B. 2
C. 1
D. 4

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Answer:-B. 2

Q 8. How many sides have a regular polygon, each angle of which is of measure 108º?
A. 6 sides
B. 3 sides
C. 4 sides
D. 5 sides

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Answer:-D. 5 sides

Q 9. In the figure, ABCD is a trapezium in which AB = 7 cm, AD = BC = 5 cm, DC = x cm, and the distance between AB and DC is 4 cm. Find the value of x.

A. 12 cm
B. 13 cm
C. 15 cm
D. none of these

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Answer:-B. 13 cm

Q 10. The diagonals do not necessarily intersect at right angles in a
A.  parallelogram
B. rectangle
C. rhombus
D. kite

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Answer:-A.  parallelogram

Q 11. What is the maximum exterior angle possible for a regular polygon?
A. 120^o
B. 90^o
C. 130^o
D. 85^o

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Answer:-A. 120o

Q 12. Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.
A. 12
B. 13
C. 14
D. 15

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Answer:-A. 12

Q 13. In the given figure,  If x = ⅗ y and y = 5/7 z then the values of x, y and z are

A. 60°,84°,36°
B. 36°,84°,60°
C. 36°,60°,84°
D. 84°,60°,36°

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Answer:-C. 36°,60°,84°

Q 14. All kites are rhombuses. True or False?
A. True
B. False

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Answer:-B. False

Q 15. Three angles of a quadrilateral are 30º, 150º and 100º. Find the fourth angle.
A. 90^o
B. 70^o
C. 30^o
D. 80^o

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Answer:-D. 80o

Q 16. The sides of a pentagon are produced in order and the exterior angles so obtained are of measure x°, (2x°), (3x + 10)°, (4x + 5)° and (5x°) respectively. Find the value of x
A. 22
B. 19
C. 23
D. 25

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Answer:-C. 23

Q 17. In the adjoining figure, if ABCD is a square, the value of x is 

A. 45°
B. 60°
C. 70°
D. 30°

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Answer:-B. 60°

Q 18. Two adjacent angles of a parallelogram are equal. Find the measure of each angle of the parallelogram.
A. 90^o
B. 80^o
C. 60^o
D. 70^o

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Answer:-A. 90o

Q19. A quadrilateral has all four angles of the same measure. What is the measure of each?
A. 60°
B. 70°
C. 80°
D. 90°

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Answer:-D. 90°

Q 20. Find the number of sides of a regular polygon, when each of its angles has a measure of 150°?
A. 9
B. 10
C. 11
D. 12

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Answer:-D. 12

Q 21. In the adjoining figure, ABCD is a parallelogram. If AB = 2AD and P is the mid-point of AB, then ∠CPD is equal to

A. 60°
B. 90°
C. 45°
D. 120°

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Answer:-B. 90°

Q 22. If each interior angle of a regular polygon is 150º, how many sides does this polygon have?
A. 12
B. 9
C. 10
D. 11

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Answer:-A. 12

Q 23. Find the length of the diagonal of a rectangle whose sides are 5 cm and 12 cm.
A. 12 cm
B. 13 cm
C. 14 cm
D. 15 cm

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Answer:-B. 13 cm

Q 24. Two angles of a quadrilateral are of measure 80º each. The other two angles are also equal. What is the measure of either of these two angles?
A. 70°
B. 80°
C. 90°
D. 100°

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Answer:-D. 100°

Q 25. The number of degrees at each exterior angle of a regular pentagon is
A. 82º
B. 60º
C. 72º
D. none of these

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Answer:-C. 72º

Q 26. RENT is a rectangle. Its diagonals meet at O. Find x, if OR = 3x + 5 and OT = 2x + 7.
A. 2
B. 1
C. 8
D. 5

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Answer:-B. 1

Q 27. What is the measure of each angle of a regular hexagon?
A. 125^o
B. 120^o
C. 110^o
D. 90^o

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Answer:-B. 120o

Q 28. If the diagonals of a quadrilateral are perpendicular to each other, it is always a square. True or False?
A. True
B. False

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Answer:-A. True

Q 29. The interior angle of a regular polygon is 156º. The number of sides of the polygon is
A. 12
B. 15
C. 18
D. none of these

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Answer:-B. 15

Q 30. Identity of all quadrilaterals that have four right angles
A. Square and rectangle
B. Square and rhombus
C. rectangle
D. rhombus

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Answer:-A. Square and rectangle

Q 31. The ratio between the exterior angle and the interior angle of a regular polygon is 2 : 7. Find the number of sides in the polygon.
A. 8 sides
B. 9 sides
C. 10 sides
D. 11 sides

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Answer:-B. 9 sides

Q 32. The two diagonals are not necessarily equal in a
A. rectangle
B. rhombus
C. square
D. isosceles trapezium

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Answer:-B. rhombus

Q 33. How many sides does a regular polygon have if the measure of an exterior angle is 36°.
A. 7
B. 8
C. 9
D. 10

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Answer:-D. 10