Understanding Elementary Shapes Class 6 Worksheet Maths Chapter 5

MCQs

Q1: Which type of triangle has two sides of equal length?
(a) Equilateral triangle
(b) Isosceles triangle
(c) Scalene triangle
(d) Right-angled triangle
Ans: (b) Isosceles triangle

An isosceles triangle has exactly two sides of equal length. The third side can be of a different length.

Q2: How many bases does a trapezium have?
(a) 1
(b) 2
(c) 3
(d) 4
Ans: (b) 2

A trapezium (or trapezoid) has two parallel bases and two non-parallel sides.

Q3: What is the measure of each angle in an equilateral triangle?
(a) 60°
(b) 90°
(c) 120°
(d) 180°
Ans: (a) 60°

In an equilateral triangle, all three angles are equal and add up to 180°. Therefore, each angle measures 60°.

Q4: What type of angle is exactly 180°?
(a) Acute angle
(b) Right angle
(c) Straight angle
(d) Reflex angle
Ans: (c) Straight angle

A straight angle measures exactly 180°, forming a straight line.

Q5: Which type of triangle has all sides of different lengths?
(a) Equilateral triangle
(b) Isosceles triangle
(c) Scalene triangle
(d) Right-angled triangle
Ans: (c) Scalene triangle

A scalene triangle has all sides of different lengths, and all angles are also different.

Types of Triangles

Q6: Identify the following triangles according to the measurement of sides and angles given. Also mention the type of triangle:
                                                  

Ans: (1) ∆ABC: Equilateral and acute angled triangle
(2) ∆DEF: Isosceles triangle and acute angled triangle
(3) ∆GIH: Scalene triangle and right angled triangle
(4) ∆JKL: Isosceles triangle and obtuse angled triangle
(5) ∆MNO: Scalene triangle and obtuse angled triangle
(6) ∆PQR: Scalene triangle and acute angled triangle
(7) ∆STV: Isosceles triangle and right angled triangle

Fill in the Blanks 

Q7: Each angle of a rectangle is a ____________ angle.
Q8: ____________ sides of a rhombus are of equal length.
Q9: In a ____________, there is only one pair of parallel sides.
Q10: The ____________ sides of a rectangle are equal in length.
Q11: A rhombus with four right anlges is called a ____________.
Q12: The polygon with least number of sides is ____________.

Ans 7:Right angle
Ans 8: All
Ans 9:  Trapezium
Ans 10: Opposite
Ans 11: Square
Ans 12: Triangle

Answer the following Questions 

Ans:

Q14: 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 

Ans:
(a) ∠QOY = acute angle.
(b) ∠YOP = obtuse angle.
(c) ∠ROX = right angle.
(d) ∠QOX = reflex angle.
(e) ∠POQ = straight angle. 

Q15: Match the column B with A and C:

For example (a) → (iii) → (g)
Ans: (a) → (iii) → (g)
(b) → (iv) →  (f)
(c) → (i) →  (i)
(d) → (ii) →  (j)
(e) → (v) →  (h)

Q16: A sailor is rowing a boat due north. In which direction will he be rowing if he turns it through (i) a straight angle (ii) a complete angle 
Ans: (i) South
(ii) North

Q17: You are standing in a class-room facing north. In what direction will you be facing after making a quarter turn in clockwise direction?
Ans: East

Q18: Write five capital letters of the English alphabet which show perpendicular lines/line segments.
Ans: E, F, H, I, J, L, T (any five)

Q19: Number of right angles turned by the hour hand of a clock when it goes from 3 to 6.
Ans: When the hour hand of a clock goes from 3 to 6, it turns through one right angle.

Q20: How many line segments are used in making a triangle?

Ans: Three line segments are used to make a triangle.