CBSE Class 6 Mathematics Understanding Elementary Shapes Worksheet Set 04

Question 1. In the given figure, lines l and m are ……………….. to each other.
(A) perpendicular
(B) parallel
(C) intersect
(D) None of them.
Answer: (A) perpendicular
Lines \(l\) and \(m\) intersect at right angles as shown by the perpendicular symbol.
In simple words: Lines that meet at a right angle are perpendicular to each other.

Exam Tip: Look for the right-angle marker or ninety-degree symbol between two intersecting lines.

Question 2. If a clock hand starts from 12 and stops at 12 What type of angle does it make
Answer: A complete angle measuring \(360^\circ\).
In simple words: When a hand completes one full circle, it forms a complete angle of \(360^\circ\).

Exam Tip: A full rotation around a point equals a complete angle of \(360^\circ\).

Question 3. In triangle ABC, AB = 13 cm, BC = 13 cm, CA = 5 cm. Classify the triangle on the basis of its sides.
Answer: Isosceles triangle.
In simple words: Since two sides (\(AB\) and \(BC\)) are equal in length, the triangle is isosceles.

Exam Tip: Check if two sides are equal for isosceles, all three for equilateral, or all different for scalene.

Question 4. What helps in forming the shape of all the objects around us?
(A) curves
(B) lines
(C) Both 'a' and 'b'
(D) None of them
Answer: (C) Both 'a' and 'b'
Both straight lines and curved lines combine to form the outlines and shapes of everyday objects.
In simple words: Shapes are formed using straight lines, curves, or a combination of both.

Exam Tip: Geometry uses both straight line segments and curved paths as fundamental building blocks.

Question 5. What is a line segment?
(A) A dot
(B) An unending line
(C) A fixed portion
(D) All of them
Answer: (C) A fixed portion
A line segment is a finite portion of a line with two distinct end points.
In simple words: A line segment has a definite measurable length between two endpoints.

Exam Tip: Remember that a line extends infinitely, but a line segment has a fixed length.

Question 6. How do we find a relation between two line segments?
(A) By comparing their width
(B) By comparing their length
(C) By comparing their height
(D) None of them
Answer: (B) By comparing their length
Line segments only have length (one-dimensional), so we compare their lengths to find relations such as equality or inequality.
In simple words: Line segments are compared by measuring and checking their lengths.

Question 7. Which of the following is correct definition of length?
(A) The distance between the centre of a circle and its circumference.
(B) The distance between the end points of a line segment.
(C) The distance covered during one revolution.
(D) None of them.
Answer: (B) The distance between the end points of a line segment.
The length of a line segment is precisely the shortest distance between its two end points.
In simple words: Length measures how far apart the two endpoints of a line segment are.

Exam Tip: The distance from the center to the circumference is the radius, not length.

Question 8. Match the following from the code given below :
Column A
(A) All the three sides of a triangle are of unequal length.
(B) Parallelogram with all angles \(90^\circ\) is
(C) All the three sides of a triangle are equal.
(D) A quadrilateral having two pairs of parallel sides.
Column B
(i) Rectangle
(ii) Equilateral Triangle
(iii) Parallelogram
(iv) Scalene Triangle
(A) A-(i); B-(ii); C-(iii); D-(iv)
(B) A-(iv); B-(i); C-(ii); D-(iii)
(C) A-(iii); B-(ii); C-(i); D-(iv)
(D) A-(ii); B-(iii); C-(i); D-(iv)
Answer: (B) A-(iv); B-(i); C-(ii); D-(iii)
(A) Unequal sides = Scalene Triangle (iv)
(B) Parallelogram with \(90^\circ\) angles = Rectangle (i)
(C) Equal sides = Equilateral Triangle (ii)
(D) Two pairs of parallel sides = Parallelogram (iii)
In simple words: Match each geometric property in Column A with its correct geometric shape in Column B.

Exam Tip: Evaluate each statement individually and eliminate incorrect option codes systematically.

Question 9. Top view of a brick looks.
(A) Triangular
(B) Circular
(C) Rectangular
(D) Square
Answer: (C) Rectangular
A standard brick is a cuboid, and its top face is a rectangle.
In simple words: Looking straight down at a brick shows a rectangular shape.

Exam Tip: Visualize 3D objects by looking at their top, front, and side projections.

Question 10. A __________ resembles a round marble used for playing.
(A) cone
(B) cylinder
(C) sphere
(D) All of them
Answer: (C) sphere
A round marble has a perfectly spherical 3D shape.
In simple words: A marble is round like a ball, which is a sphere.

Exam Tip: Spheres are perfectly round solid objects with all points on the surface equidistant from the center.

Question 11. Name the type of a triangle formed with lengths of sides 7 cm, 8 cm and 9 cm.
(A) Right angled triangle
(B) Isosceles triangle
(C) Scalene triangle
(D) None of them
Answer: (C) Scalene triangle
Since all three sides (7 cm, 8 cm, 9 cm) have different lengths, it is a scalene triangle.
In simple words: Triangles with three unequal sides are called scalene triangles.

Exam Tip: Always check side lengths: unequal = scalene, two equal = isosceles, three equal = equilateral.

Question 12. If all the angles of a triangle are equal, then its sides are _________.
(A) equal
(B) unequal
(C) uneven
(D) parallel
Answer: (A) equal
In an equiangular triangle (where each angle is \(60^\circ\)), all three sides are also equal, making it an equilateral triangle.
In simple words: Equal angles in a triangle correspond to equal side lengths.

Exam Tip: Angle-side relationships in triangles state that equal angles subtend equal sides.

Question 13. What is the measure of a straight angle?
(A) \(90^\circ$
(B) \(60^\circ$
(C) \(180^\circ$
(D) \(0^\circ$
Answer: (C) \(180^\circ$
A straight angle forms a straight line and measures exactly \(180^\circ\).
In simple words: A straight line represents an angle of \(180^\circ\).

Question 14. An angle whose measure is less than that of a right angle is _____________.
(A) Reflex Angle
(B) Acute Angle
(C) Obtuse Angle
(D) Straight Angle
Answer: (B) Acute Angle
An angle measuring less than \(90^\circ\) is defined as an acute angle.
In simple words: Angles smaller than a right angle are acute.

Exam Tip: Acute means sharp or small (\(0^\circ < \theta < 90^\circ\)).

Question 15. Which direction will you face if you start with facing in east and make one and a half revolution clockwise?
(A) East
(B) West
(C) North
(D) South
Answer: (B) West
One full revolution brings you back to East, and an additional half revolution (\(180^\circ\)) points you toward West.
In simple words: Turning 1.5 full circles from East leaves you facing West.

Exam Tip: A full revolution is 4 right angles; 1.5 revolutions is 6 right angles.

Question 16. How many millimetres make one metre?
(A) 10 mm
(B) 100 mm
(C) 1/10 mm
(D) 1000 mm
Answer: (D) 1000 mm
Since \(1 \text{ m} = 100 \text{ cm}\) and \(1 \text{ cm} = 10 \text{ mm}\), we have \(1 \text{ m} = 1000 \text{ mm}\).
In simple words: One metre contains 1000 millimetres.

Exam Tip: Memorize metric conversions: kilo (\(10^3\)), base (\(10^0\)), centi (\(10^{-2}\)), milli (\(10^{-3}\)).

Question 17. Which of the following are models for perpendicular lines?
(A) The adjacent edges of a table top
(B) The lines of a railway track
(C) The line segments forming the letter 'M'
(D) The letter 'V'
Answer: (A) The adjacent edges of a table top
Adjacent sides of a rectangular table top meet at right angles (\(90^\circ\)), forming perpendicular lines.
In simple words: The corner edges of a table meet at right angles like perpendicular lines.

Exam Tip: Railway tracks represent parallel lines, not perpendicular ones.

Question 18. We use a _________ to measure the size of an angle in Degrees.
(A) set square
(B) protractor
(C) ruler
(D) divider
Answer: (B) protractor
A protractor is the standard geometric instrument marked in degrees used for measuring angles.
In simple words: A protractor measures angle degrees.

Exam Tip: Rulers measure length, dividers compare distances, and protractors measure angles.

Question 19. What will we name the triangle LMN with angle L = \(30^\circ\), angle M = \(70^\circ\) and angle N = \(80^\circ\)?
(A) Obtuse Angled Triangle
(B) Acute Angled Triangle
(C) Right Angled Triangle
(D) None of them
Answer: (B) Acute Angled Triangle
Since all three angles (\(30^\circ\), \(70^\circ\), \(80^\circ\)) are less than \(90^\circ\), it is an acute-angled triangle.
In simple words: When all angles in a triangle are acute, it is an acute-angled triangle.

Exam Tip: Triangle classification by angles depends on the largest interior angle.

Question 20. Find the number of right angles made by the hour hand of a clock when it goes from 12 o'clock to 9 o'clock.
(A) 2
(B) 3
(C) 1
(D) 4
Answer: (B) 3
From 12 to 9 is 9 hours. Each hour space is \(30^\circ\), so 9 hours is \(9 \times 30^\circ = 270^\circ\). Since one right angle is \(90^\circ\), \(270^\circ / 90^\circ = 3\) right angles.
In simple words: Moving from 12 to 9 covers three-quarters of a clock face, which equals 3 right angles.

Exam Tip: Every 3 hours on a clock face represents one right angle (\(90^\circ\)).

Question 21. Which of the following statements are true? Choose the correct answer from the code given below :
(i) Each angle of a square is a right angle.
(ii) All the sides of a parallelogram are of equal length.
(iii) The diagonals of a square are perpendicular to one another.
(A) Only option (i)
(B) Only (i) and (iii)
(C) Only option (ii)
(D) All of them
Answer: (B) Only (i) and (iii)
(i) True: All four angles of a square are \(90^\circ\).
(ii) False: Opposite sides of a parallelogram are equal, but adjacent sides are not necessarily equal.
(iii) True: Diagonals of a square intersect at right angles (\(90^\circ\)).
In simple words: Statements (i) and (iii) correctly describe properties of a square.

Exam Tip: A rhombus and square have perpendicular diagonals, but a parallelogram does not.

Question 22. Which of the following lines is longest?
(A) Line segment AB
(B) Line segment CD
(C) Line segment EF
(D) All lines are equal
Answer: (D) All lines are equal
(Assuming standard worksheet scaling where standard visual lengths or problem constraints equate them, or depending on direct measurement. In standard textbook question banks for this chapter, option D states equality).
In simple words: Verify lengths by direct ruler measurement if printed to scale.

Exam Tip: Always use a ruler to measure line segments precisely when comparing them visually.

Question 23. What does the arrow show in the following figure?
(A) Face
(B) Edge
(C) Vertex
(D) None of them
Answer: (B) Edge
The arrow points to the line segment where two faces of the cuboid meet, which is an edge.
In simple words: The line where two flat surfaces of a 3D shape meet is called an edge.

Question 24. Which of the following is a polygon?
(A) Circular figure with interior lines
(B) Hexagon
(C) Circle with tangent line
(D) Open curved shape
Answer: (B)
A polygon is a closed plane figure bounded by straight line segments (like the hexagon in option B).
In simple words: Polygons are closed shapes made entirely of straight line segments.

Exam Tip: Circles and curves are not polygons because polygons must be formed by straight line segments.

Question 25. Match the following -:
Column A
(A) Cone
(B) Pyramid
(C) Sphere
(D) Cylinder
Column B
(i) Sphere diagram
(ii) Cylinder diagram
(iii) Pyramid diagram
(iv) Cone diagram
(A) A-(i); B-(iv); C-(iii); D-(ii)
(B) A-(ii); B-(iii); C-(iv); D-(i)
(C) A-(iii); B-(ii); C-(i); D-(iv)
(D) A-(iv); B-(iii); C-(i); D-(ii)
Answer: (D) A-(iv); B-(iii); C-(i); D-(ii)
Cone matches (iv), Pyramid matches (iii), Sphere matches (i), Cylinder matches (ii).
In simple words: Match each 3D solid name in Column A with its correct diagram in Column B.

Exam Tip: Identify 3D solids by their base shapes and lateral surfaces.

Question 26. Name the given triangle on the basis of its angles.
(A) Obtuse Angled Triangle
(B) Right Angled Triangle
(C) Acute Angled Triangle
(D) none of them
Answer: (B) Right Angled Triangle
The given triangle has one \(90^\circ\) right-angle marker at vertex B.
In simple words: A triangle with one right angle is a right-angled triangle.

Exam Tip: Look for the square box symbol at the vertex indicating a \(90^\circ\) angle.

Question 27. Name the angle AOB in figure given below :
(A) Straight Angle
(B) Obtuse Angle
(C) Reflex Angle
(D) None of them
Answer: (C) Reflex Angle
The angle spanning more than \(180^\circ\) around vertex O is a reflex angle.
In simple words: An angle greater than \(180^\circ\) and less than \(360^\circ\) is a reflex angle.

Question 28. Which of the following angles have a larger measure?
(A) (i)
(B) (ii)
(C) (iii)
(D) All are same measure
Answer: (D) All are same measure
The opening (measure) of an angle depends on the degree of rotation between its arms, not the physical length of the drawn line rays.
In simple words: Lengthening the rays of an angle does not change its degree measure.

Exam Tip: Angle measure is independent of ray length.

Question 29. Measure of Straight angle is < 180º (T/F)
Answer: False. A straight angle is exactly equal to \(180^\circ\).
In simple words: A straight angle equals \(180^\circ\), not less than \(180^\circ\).

Exam Tip: Straight angles measure exactly \(180^\circ\).

Question 30. Is rectangle a quadrilateral?
Answer: True / Yes.
In simple words: A rectangle is a 4-sided polygon, which makes it a quadrilateral.

Exam Tip: Any polygon with 4 sides and 4 vertices is classified as a quadrilateral.

Question 31. What is the shape of cycle's Wheel?
Answer: Circular.
In simple words: A bicycle wheel is shaped like a circle.

Exam Tip: Circles are perfectly round 2D figures where all points on the boundary are equidistant from the center.

Question 32. Can a triangle have two obtuse angles?
Answer: No.
In simple words: The sum of all three angles in a triangle is always \(180^\circ\). Two obtuse angles would sum to more than \(180^\circ\), which is impossible.

Question 33. A reflex. angle > 180º and < 360º . (T/F)
Answer: True.
In simple words: By definition, a reflex angle is greater than \(180^\circ\) and less than \(360^\circ\).

Question 34. If one of the angles in a triangle is \(90^\circ\), then the triangle is called a/an-
(A) Acute-angled triangle.
(B) Obtuse-angled triangle.
(C) Right-angled triangle.
(D) None of them.
Answer: (C) Right-angled triangle.
A triangle having one right angle (\(90^\circ\)) is a right-angled triangle.
In simple words: A \(90^\circ\) angle makes a triangle right-angled.

Exam Tip: The side opposite to the right angle is the hypotenuse, which is the longest side.

Question 35. In the following triangle, which of the triangles shown is an isosceles right-angled triangle?
(i) Triangle PQR
(ii) Triangle XYZ
(iii) Triangle DEF
(A) Angle ABC
(B) Angle DEF
(C) Angle PQR
(D) none of them
Answer: (B) Angle DEF
Triangle DEF has a right angle (\(90^\circ\)) at F and equal side lengths (3 cm and 3 cm), making it an isosceles right-angled triangle.
In simple words: An isosceles right triangle has one \(90^\circ\) angle and two equal sides.

Exam Tip: Look for both the \(90^\circ\) square marker and two equal side dimensions.

Question 36. A coin of one rupee looks like a-
(A) Rectangle.
(B) Square.
(C) Circle.
(D) Triangle.
Answer: (C) Circle.
A standard one-rupee coin has a circular face.
In simple words: Coins are circular flat objects.

Exam Tip: Circular objects have constant diameter across any passing line through the center.

Question 37. The vertices of a triangle are called
(A) Lines
(B) Points
(C) Both (1) and (2)
(D) None of them
Answer: (B) Points
Vertices are the corner points where the sides of a triangle intersect.
In simple words: A vertex is a point where two lines meet.

Exam Tip: A triangle has 3 sides and 3 vertices (points).

Question 38. In the given figure, XY is ……..
(A) Radius
(B) Smallest chord
(C) Half diameter
(D) Diameter or the greatest chord
Answer: (D) Diameter or the greatest chord
A line segment passing through the center O with endpoints on the circle is a diameter.
In simple words: The longest chord of a circle that passes through the center is the diameter.

Exam Tip: The diameter is twice the length of the radius (\(d = 2r\)).

Question 39. Base of the cone is in the shape of a…
(A) Rectangle
(B) Triangle
(C) Circle
(D) Square
Answer: (C) Circle
The flat bottom face of a cone is circular.
In simple words: A cone has a circular base tapering up to a vertex.

Exam Tip: 3D shapes like cylinders and cones feature circular bases.

Question 40. Instrument used to draw a circle is-
(A) Divider.
(B) Compass.
(C) Protractor.
(D) Ruler.
Answer: (B) Compass.
A geometric compass holds a pencil and a needle point to draw circles of precise radii.
In simple words: A compass is used to draw circles.

Question 41. If a triangle has two equal sides, then it is called a/an-
(A) Equilateral triangle.
(B) Isosceles triangle.
(C) Scalene triangle.
(D) Right-angled triangle.
Answer: (B) Isosceles triangle.
A triangle with two equal side lengths is defined as an isosceles triangle.
In simple words: Two equal sides mean an isosceles triangle.

Question 42. Perimeter of the circle is called its-
(A) Circumference.
(B) Diameter.
(C) Segment.
(D) Radius.
Answer: (A) Circumference.
The distance all the way around the boundary of a circle is its circumference.
In simple words: The perimeter of a circle is known as its circumference.

Question 43. In the given triangles, which triangle is an obtuse-angled triangle?
(i) Acute triangle
(ii) Acute triangle
(iii) Obtuse triangle
(A) (i)
(B) (ii)
(C) (iii)
(D) Both (1) and (3).
Answer: (C) (iii)
Triangle (iii) has one interior angle greater than \(90^\circ\), making it obtuse.
In simple words: Triangle (iii) has an obtuse angle.

Question 44. Sum of two acute angles of a right triangle is…
(A) \(100^\circ$
(B) \(90^\circ$
(C) \(110^\circ$
(D) \(80^\circ$
Answer: (B) \(90^\circ$
Since the sum of all angles in any triangle is \(180^\circ\) and one angle is a right angle (\(90^\circ\)), the sum of the remaining two acute angles is \(180^\circ - 90^\circ = 90^\circ\).
In simple words: The two smaller angles in a right-angled triangle always add up to \(90^\circ\).

Question 45. Which of the following are matching correctly?
Column A
(i) A line segment is
(ii) A line segment has
(iii) Two segments are congruent
(iv) Two segments may intersect
Column B
(a) If they have equal length.
(b) At a point.
(c) A portion of the line.
(d) Two end-points.
(A) (i)-a, (ii)-b, (iii)-c, (iv)-d
(B) (i)-c, (ii)-d, (iii)-a, (iv)-b
(C) (i)-c, (ii)-d, (iii)-b, (iv)-a
(D) (i)-c, (ii)-b, (iii)-a, (iv)-d
Answer: (B) (i)-c, (ii)-d, (iii)-a, (iv)-b
(i) Line segment is a portion of a line (c).
(ii) Line segment has two end-points (d).
(iii) Two segments are congruent if they have equal length (a).
(iv) Two segments may intersect at a point (b).
In simple words: Match each segment property with its correct definition.

Question 46. The wheel of a bicycle makes three and a half turns. Through how many angles does it?
(A) 12 right angles
(B) 13 right angles
(C) 14 right angles
(D) 15 right angles
Answer: (C) 14 right angles
1 full turn = 4 right angles.
3 full turns = \(3 \times 4 = 12\) right angles.
Half turn = 2 right angles.
Total = \(12 + 2 = 14\) right angles.
In simple words: Multiply 3.5 turns by 4 right angles per turn to get 14 right angles.

Question 47. A traffic policeman is looking towards the east. In which direction will he be looking if he turns clockwise through two right angles?
(A) South.
(B) North.
(C) East.
(D) West.
Answer: (D) West.
Two right angles equal \(180^\circ\) (a straight turn). Turning \(180^\circ\) clockwise from East results in facing West.
In simple words: Turning around completely by two right angles from East points you toward West.

Question 48. A ray has ……..
(A) One end-point.
(B) Two end-points.
(C) No end point.
(D) None of them.
Answer: (A) One end-point.
A ray starts at one endpoint and extends infinitely in the other direction.
In simple words: A ray has a starting point and goes on forever in one direction.

Question 49. The standard unit for measuring an angle is……
(A) Minute.
(B) Degree.
(C) Metre
(D) None of them.
Answer: (B) Degree.
Angles are measured in degrees (\(^\circ\)).
In simple words: Degrees are the standard units used to measure angles.

Question 50. Is a rectangle a parallelogram?
Answer: Yes, a rectangle is a special type of parallelogram where all four interior angles are right angles (\(90^\circ\)).
In simple words: Since its opposite sides are parallel and equal, a rectangle is a parallelogram with \(90^\circ\) corners.

Question 51. In a triangle ABC, AB = 13 cm, BC = 12 cm, CA = 5 cm and angle C = \(90^\circ\). Classify the triangle on the basis of sides and angle.
Answer:
- On the basis of sides: Scalene triangle (all three sides 13 cm, 12 cm, 5 cm have different lengths).
- On the basis of angles: Right-angled triangle (angle C = \(90^\circ\)).
In simple words: It is a scalene right-angled triangle because all sides have different lengths and one angle is \(90^\circ\).

Question 52. Can a right-angled triangle have two right angles?
Answer: No.
In simple words: Two right angles would sum to \(180^\circ\), leaving \(0^\circ\) for the third angle, which is impossible for a triangle.

Question 53. a) What is the shape of Jokers Cap
b) What is the shape of a basket-ball?
Answer:
a) Cone
b) Sphere
In simple words: A joker's cap is shaped like a cone, and a basketball is a sphere.

Question 54. a) If a clock hand starts from '12' and stops at 9. How many right angles has it moved?
b) Where will the hand of a clock stop if starts at 3 and makes \(1/4\) of revolution clockwise.
Answer:
a) 3 right angles.
b) \(1/4\) of a revolution is 3 hour spaces (\(90^\circ\)). Starting at 3 and moving \(1/4\) turn clockwise stops at 6.
In simple words: a) Moving from 12 to 9 covers 3 right angles. b) Starting at 3 and moving 90 degrees stops at 6.

Question 55. If LM is perpendicular to PQ and intersects it at point M then find angle LMQ
Answer: Angle LMQ = \(90^\circ\).
In simple words: Perpendicular lines always meet at an angle of \(90^\circ\).

Question 56. Write true or false. Correct the statement if false.
(a) An obtuse angle < \(90^\circ\).
(b) A measure of complete angle is \(360^\circ\).
(c) Straight angle is between \(1/4\) and \(1/2\) of a revolution.
Answer:
(a) False. Correct statement: An obtuse angle is greater than \(90^\circ\) and less than \(180^\circ\).
(b) True.
(c) False. Correct statement: A straight angle is equal to \(1/2\) of a revolution (\(180^\circ\)).
In simple words: Check each definition against standard angle measurements.

Question 57. In the following figure, a can in the form of a cylinder is given. Find
(a) Bases
(b) Edges
(c) Corners
Answer:
(a) Bases = 2 (top and bottom flat circular faces)
(b) Edges = 2 (circular curved edges)
(c) Corners = 0 (no vertices or corners)
In simple words: A cylinder has 2 circular flat bases, 2 curved edges, and zero corners.

Question 58. Count the number of sides of the following polygons and name them
Answer:
- Triangle: 3 sides
- Quadrilateral: 4 sides
- Pentagon: 5 sides
- Hexagon: 6 sides
- Octagon: 8 sides
In simple words: Polygons are named according to the number of sides they possess.

Section: Definitions and Constructions

Question 59. Define
a) Obtuse - angled - triangle
b) Right - angled - triangle
c) Acute - angled - triangle
d) Zero angle
e) Isosceles triangle
Answer:
a) Obtuse-angled triangle: A triangle in which one of the interior angles is obtuse (greater than \(90^\circ\)).
b) Right-angled triangle: A triangle in which one of the interior angles is exactly a right angle (\(90^\circ\)).
c) Acute-angled triangle: A triangle in which all three interior angles are acute (less than \(90^\circ\)).
d) Zero angle: An angle whose measure is \(0^\circ$, formed when two rays coincide completely.
e) Isosceles triangle: A triangle that has two sides of equal length.
In simple words: These terms classify triangles by their angles and sides, and define special angle types.

Question 60. With the help of protractor draw angles of: (i) \(105^\circ\) (ii) \(60^\circ\) and identify the angles (whether it is obtuse or acute).
Answer:
(i) \(105^\circ\) angle: Draw a baseline ray, place the protractor center at the vertex, mark \(105^\circ$, and connect. This is an obtuse angle because it is greater than \(90^\circ\) and less than \(180^\circ\).
(ii) \(60^\circ\) angle: Draw a baseline ray, place protractor center at vertex, mark \(60^\circ$, and connect. This is an acute angle because it is less than \(90^\circ\).
In simple words: Use a protractor to measure and draw the angles accurately.

Question 61. Fill in the blanks
a. When the sum of the measures of two angles is that of a right angle, then each one of them is _____ angle.
b. When the sum of the measure of two angles is that of a straight angle, then one of them should be obtuse or ________
c. Triangle having two equal sides is called an _______ triangle.
d. We are facing North and we turn east clockwise, then the angle formed is _______
e. Line joining the opposite vertices of a polygon is called a _________
Answer:
a. acute
b. acute
c. isosceles
d. \(90^\circ\) (or right angle)
e. diagonal
In simple words: Fill in each blank with the correct geometric term or value.

Question 62. Match the following
Column A (Diagrams: (A) Die, (B) Ice cream cone, (C) Sphere/Ball, (D) Trapezium, (E) Pyramid)
Column B (Names: TRAPEZIUM, CUBE, CONE, PRISM, SPHERE)
Answer:
(A) Die matches CUBE
(B) Ice cream cone matches CONE
(C) Sphere/Ball matches SPHERE
(D) Trapezium matches TRAPEZIUM
(E) Pyramid matches PRISM / PYRAMID (matching standard shape names provided in options).
In simple words: Match each 3D or 2D object illustration with its correct geometric name.