Important Questions
Multiple Choice Questions:
1. A quadrilateral having one pair of sides parallel is called:
(A) square
(B) trapezium
(C) rectangle
(D) None of these
2. A triangular prism has:
(A) 9 faces
(B) 8 faces
(C) 7 faces
(D) 5 faces
3. Where will the hand of a clock stop if it starts at 2 and makes of a revolution, clockwise?
(A) 5
(B) 8
(C) 11
(D) None of these
4. An angle whose measure is equal to half of a revolution is:
(A) right angle
(B) acute angle
(C) straight angle
(D) obtuse angle
5. A quadrilateral whose opposite sides are parallel is called:
(A) square
(B) rectangle
(C) parallelogram
(D) None of these
6. A quadrilateral whose all the sides are equal and each angle is 90° is called a:
(A) square
(B) rhombus
(C) rectangle
(D) trapezium
7. Where will the hand of a clock stop if it starts at 12 and makes of a revolution, clockwise?
(A) 6
(B) 9
(C) 3
(D) None of these
8. When the sum of the measures of two angles is that of a right angle, then each one of them is ________.
(A) obtuse angle
(B) acute angle
(C) straight angle
(D) right angle
9. How many degrees are there in two right angles?
(A) 90°
(B) 180°
(C) 270°
(D) 360°
10. An angle formed by two opposite rays is called a:
(A) complete angle
(B) zero angle
(C) straight angle
(D) right angle
11. Where will the hand of a clock stop if it starts at 3 and makes of a revolution, clockwise?
(A) 6
(B) 12
(C) 9
(D) None of these
12. How many centimeters make 3m?
(A) 100
(B) 30
(C) 300
(D) 3000
13. When an arm of an angle is extended then how does its measure change?
(A) Doubled
(B) Tripled
(C) Remains the same
(D) Halved
14. Triangle having the angles 40°, 30°, 110° is called:
(A) acute angled triangle
(B) obtuse angled triangle
(C) right triangle
(D) none of these
15. An angle which is greater than a right angle but less than a straight angle is called:
(A) an acute angle
(B) an obtuse angle
(C) a complete angle
(D) straight angle
Match The Following:
Fill in the blanks:
1. Measure of a complete angle is ____________o.
2. The triangle in which ____________ sides are equal is called isosceles triangle.
3. Each of its angles rectangle measures ____________o.
4. A cube has ____________ vertices.
True /False:
1. Sum of any two sides of a triangle is greater than the third side.
2. An equilateral triangle is also considered as an isosceles triangle
3. A polygon is regular if its all sides are equal.
4. Opposite faces of a cuboid are equal in size.
Very Short Questions:
1. How many faces a tetrahedron have?
2. What is the angle name for half a revolution?
3. Draw a hexagon and write its sides and diagonals?
4.
5. Draw a rough sketch of a regular octagon. Draw a rectangle by joining exactly four of the vertices of the octagon.
6. Measure the angles given below, using the Protractor and write down the measure.
7. All equilateral triangle are isosceles, but all isosceles triangle are not equilateral. Justify the statement.
8. Which of the following line-segments is longer?
9. How many line segments are used in making a triangle?
10. What is the measure of straight angle?
Short Questions:
1. In the given figure, name the following angles as acute, obtuse, right, straight or reflex.
(a) ∠QOY
(b) ∠YOP
(c) ∠ROX
(d) ∠QOX
(e) ∠POQ
2. In the given figure, find the measure of the angles marked with a, b, c, d, e and f.
3. Classify the given triangles whose sides are indicated on them.
4. What are the types of the following triangles on the basis of sides?
Long Questions:
1. Verify the ‘Euler’s formula’ V + F = E + 2 for the given figures.
(a) A triangular prism having 5 faces, 9 edges and 6 vertices.
(b) A rectangular prism with 6 faces, 12 edges and 8 vertices.
(c) A pentagonal prism with 7 faces, 15 edges and 10 vertices.
(d) A tetrahedron -with 4 faces, 6 edges and 4 vertices.
2. Complete the given table for prisms:
3. In the given figure, find the values of x, y, z, s and m.
4. Find the value of x from the given figure and hence find the measure of each
angle of the triangle.
Assertion and Reason Questions:
(1.)Assertion (A) –A line segment is a fixed portion of a line
Reason (R) – We use this idea to compare line segments.
(a) Both A and R are true and R is the correct explanation of A
(b) Both A and R are true but R is not the correct explanation of A
(c) A is true but R is false
(d) A is false but R is true
(2.) Assertion (A) – A triangle is made of three, a quadrilateral of four segments.
Reason (R) – The measure of each line segment is a unique number called its length.
(a) Both A and R are true and R is the correct explanation of A
(b) Both A and R are true but R is not the correct explanation of A
(c) A is true but R is false
(d) A is false but R is true