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Q 1. The number of sides of a regular polygon whose each exterior angle has a measure of 45°, is
5
6
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
180°
360°
540°
720°
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Q 3. The measure of each angle of a convex quadrilateral is
less than 180°
equal to 180°
greater than 180°
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
36°
72°
108°
144°
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Q 5. In the figure, the measure of {tex}\angle c{/tex} is
65°
115°
135°
125°
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Q 6. A quadrilateral has three acute angles each measuring 70°. The measure of fourth angle is
140°
150°
105°
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°
180°
68°
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
200°
120°
100°
160°
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Q 9. In a square PQRS, the diagonals bisect at T. Then {tex}\triangle PTQ{/tex} is.
An equilateral triangle
An isosceles but not right angled
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
35°
45°
70°
55°
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Q 11. In fig. ABCD is a rhombus. The value of y- x is
40°
50°
20°
10°
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Q 12. The sum interior angles of a hexagon is
180°
360°
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
6 cm
8 cm
5 cm
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
rectangle
rhombus
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
40°, 50°
80°, 80°
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.
80°, 100°
60°, 80°
90°, 90°
60°, 120°
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Q 17. Which of the following is not true ?
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.
a simple closed curve made up of only line segments is called a polygon.
is a figure of closed curve.
None of these
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Q 18. Adjacent sides of a polygon are
any two sides of the polygon
any two sides connecting two non-consecutive vertices of a polygon
any two sides with a common vertex
None of these
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Q 19. Adjacent vertices are
uncommon vertices of two adjacent sides of a polygon
end points of the same side of a polygone
end points of the diagonal of a polygon
none of these
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Q 20. In the given figure
point A and B are in the interior of the curve
point B and C are at the exterior of the curve
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 polygon is a convex polygon if the line segment joining any two points inside it lies completely inside the polygon
if a polygon has a position of its diagonal in its exterior then it is known as a concave polygon
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?
equilateral triangle is a regular polygon
square is a regular polygon
rectangle is a regular polygon
a regular polygon is both equiangular and equilateral.
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Q 23. Which of the following is not true
every trapezium is a parallelogram but every parallelogram is not a trapezium
opposite sides of a parallelogram are not equal
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 ?
2
0
4
9
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Q 25. The angle sum of a convex polygon with number of sides 7 is
900°
1080°
1440°
720°