Understanding Elementary Shapes Worksheet

Multiple Choice Questions

1. Observe the diagram given below, and name the type angle made by spoke number 1 and spoke number 4
   
   (a) Acute angle
   (b) Obtuse angle
   (c) Right angle
   (d) Reflex angle
    
2. A quadrilateral has a pair of sides parallel, and another pair of sides equal. Thus the quadrilateral is a
   (a) Parallelogram
   (b) Square
   (c) Trapezium
   (d) Rhombus
   
   
3. Which of the following is not a property of regular polygons
   (a) All sides are equal
   (b) All internal angles are equal
   (c) All diagonals are equal
   (d) All internal angles measure 90°
    
4. Which of the following is true
   (a) If all angles of a triangle are equal, then all sides of the triangle is also equal
   (b) If two angles of a triangle are equal, then two sides of the triangle are also equal
   (c) If none of the angles of a triangle are equal, then none of its sides are equal
   (d) All above statements are true
   
   
5. Which of the following is not possible to sketch
   (a) A right angled triangle with two sides equal
   (b) A right angled triangle with two angles equal
   (c) A right angled triangle with all sides equal
   (d) A right angled triangle with no sides equal
    
6. Which of the following is not a polygon
   
   
   
7. A parallelogram having all sides and all angles equal is called a
   (a) rectangle
   (b) rhombus
   (c) square
   (d) trapezium
    
8. Identify the type of angle formed by the door with the door frame
   
   (a) Acute angle
   (b) Right angle
   (c) Obtuse angle
   (d) Straight angle
    
9. Identify the polygons in the following figure
    
   (a) Square, Triangle and Parallelogram
   (b) Rectangle, Triangle and Parallelogram
   (c) Square, Triangle and Trapezium
   (d) Rectangle, Triangle and Trapezium
    
10. Identify the type of triangle formed here on the image of a house.
     
    (a) Scalene triangle
    (b) Equilateral triangle
    (c) Isosceles triangle
    (d) Obtuse angled triangle
    
    Subjective Questions
    
    
11. Observe the diagram given below, and write two examples each for acute angle, right angle and obtuse angle.
    
    
    
12. Give three real life examples where you observed perpendicular lines
     
13. Give 2 examples each of acute angle, right angle and obtuse angle formed by the minute and hour hands of a clock. 
     
14. From the figure given below, identify the equilateral, Isosceles and scalene triangles.
     
     
15. From the figure given below, identify right angles, acute angles and obtuse angles
    
     
16. From the figure given below, name 2 pentagons and 2 hexagons 
    
    
    
17. Who am I?
    I am a polygon with 4 sides. Now, not all my sides are equal, but all of my angles are equal to 90°.
     
18. From the figure given below, classify the triangles based on the measure of its angles (at least one example each for each type)
    
    
    
19. From the figure given below, identify lines which are perpendicular bisectors
    
    
    
20. From the below image, write down the pair of spokes that are perpendicular
    

Multiple Choice Questions

1. Observe the diagram given below, and name the type angle made by spoke number 1 and spoke number 4
   
   (a) Acute angle
   (b) Obtuse angle
   (c) Right angle
   (d) Reflex angle
   Correct option: (b) Obtuse angle
   Solution: The measure of angle formed is more than 90o but less than 180°.
   
    
2. A quadrilateral has a pair of sides parallel, and another pair of sides equal. Thus the quadrilateral is a
   (a) Parallelogram
   (b) Square
   (c) Trapezium
   (d) Rhombus
   Correct option: (c) Trapezium
   Solution: We are given that only one pair of sides are parallel, another pair is equal but not given to be parallel, hence we can say for sure that it is a Trapezium.
   
   
3. Which of the following is not a property of regular polygons
   (a) All sides are equal
   (b) All internal angles are equal
   (c) All diagonals are equal
   (d) All internal angles measure 90°
   Correct option: (d) All angles measure 90°
   Solution: Not all regular polygons have measure of their internal angles equal to 90°.
    
4. Which of the following is true
   (a) If all angles of a triangle are equal, then all sides of the triangle is also equal
   (b) If two angles of a triangle are equal, then two sides of the triangle are also equal
   (c) If none of the angles of a triangle are equal, then none of its sides are equal
   (d) All above statements are true
   Correct option: (d) All above statements are true
   Solution: In a Triangle…
   (a) If all the angles are equal, then all sides are equal and vice versa
   (b) If two angles are equal, it has two equal sides.
   (c) If none of the angles are equal then none of the sides are equal
   
   
5. Which of the following is not possible to sketch
   (a) A right angled triangle with two sides equal
   (b) A right angled triangle with two angles equal
   (c) A right angled triangle with all sides equal
   (d) A right angled triangle with no sides equal
   Correct option: (c) A right angled triangle with all sides equal
   Solution: In right angled triangle, the side opposite to 90° will be always greater than the other two sides, hence, all sides can’t be equal in the case of a right angled triangle.
    
6. Which of the following is not a polygon
   
   Correct option: (d) 
   Solution: Polygons are made up of lines only, they don’t have curves
   
   
7. A parallelogram having all sides and all angles equal is called a
   (a) rectangle
   (b) rhombus
   (c) square
   (d) trapezium
   Correct option: (c) square
   Solution: A parallelogram having all sides equal is called a rhombus and a rhombus having all angles equal is called a square.
    
8. Identify the type of angle formed by the door with the door frame
   
   (a) Acute angle
   (b) Right angle
   (c) Obtuse angle
   (d) Straight angle
   Correct option: (a) Acute angle
   Solution: The measure of angle so formed is less than 90°, hence it is an acute angle.
   
   
9. Identify the polygons in the following figure
    
   (a) Square, Triangle and Parallelogram
   (b) Rectangle, Triangle and Parallelogram
   (c) Square, Triangle and Trapezium
   (d) Rectangle, Triangle and Trapezium
   Correct option: (d) Rectangle, Triangle and Trapezium
   Solution:
   
    
10. Identify the type of triangle formed here on the image of a house.
     
    (a) Scalene triangle
    (b) Equilateral triangle
    (c) Isosceles triangle
    (d) Obtuse angled triangle
    Correct option: (c) Isosceles triangle
    Solution: Two sides of the given triangle are equal, hence it is isosceles.
    
    Subjective Questions
    
    
11. Observe the diagram given below, and write two examples each for acute angle, right angle and obtuse angle.
    
    Solution:
    
    
    
12. Give three real life examples where you observed perpendicular lines
    Solution:
    Examples
    1. Buildings are perpendicular to ground
    2. Hands of clock at 3:00 pm
    3. Plus sign
     
13. Give 2 examples each of acute angle, right angle and obtuse angle formed by the minute and hour hands of a clock. 
    Solution:
    Acute angle examples:
    
    Right angle examples:
    
    Obtuse angle examples:
    
     
14. From the figure given below, identify the equilateral, Isosceles and scalene triangles.
     
    Solution:
    Scalene triangle: (none of the sides equal) ∆ABD and ∆CBD
    Isosceles triangle: (two sides equal) ∆ADC
    Equilateral triangle: (all three sides equal) ∆ABC
     
15. From the figure given below, identify right angles, acute angles and obtuse angles
    
    Solution:
     
    Acute angles: ∠ABC, ∠ACB, ∠DBE
    Right angles: ∠CAB
    Obtuse angles: ∠ABD, ∠CBE
     
16. From the figure given below, name 2 pentagons and 2 hexagons 
    
    Solution:
     
    Pentagons: BGEDCB, IJBBGI,
    Hexagon: IJABBGHI, BGFEDCB
    
    
17. Who am I?
    I am a polygon with 4 sides. Now, not all my sides are equal, but all of my angles are equal to 90°.
    Solution: Polygon with 4 sides is a Quadrilateral.
    And a quadrilateral with not all sides equal, but all angles equal to 90° is a Rectangle.
     
18. From the figure given below, classify the triangles based on the measure of its angles (at least one example each for each type)
    
    Solution:
     
    Acute angled triangles: ∆BDE
    Right angled triangles: ∆BAC, ∆CED, ∆CAE
    Obtuse angled triangles: ∆ABD, ∆DAC, ∆ADE, ∆CBE
    
    
19. From the figure given below, identify lines which are perpendicular bisectors
    
    Solution:
    
    Line GB is the perpendicular bisector of line AD
    Line CF is the perpendicular bisector of line HE
    Line IJ is the perpendicular bisector of line KB
    
    
20. From the below image, write down the pair of spokes that are perpendicular
    
    Solution:
     
    Pair of perpendicular spokes
    1. Spokes 2 and 4
    2. Spokes 4 and 6
    3. Spokes 6 and 8
    4. Spokes 8 and 2