IV Answer the following questions :
1. A figure is said to be regular, if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral ?
2. In a parallelogram how many pairs of opposite sides are parallel ?
3. In a rectangle, how many angles are right angles ?
4. Under what condition, a rectangle is a square ?
5. Under what condition ,
(a) a rhombus will be a square
(b) a parallelogram will be a rectangle
6. In which of the following quadrilateral, diagonals are perpendicular to each other ?
(a) Trapezium (b) Rhombus (c) Square (d) Rectangle
7. In ∆ABC, side AB = BC = CA = 5cm. Then what is the value of ∠A,
∠B, ∠C ?
8. In ∆PQR , ∠P = ∠Q = ∠R = 60°, then what can you say about length of sides of ∆PQR ? Also, write the name of the triangle
9. In ∆ABC, AB = BC and ∠A = 50°, then find the value of ∠C ?
10. If ∆ABC is equilateral triangle, then find half of sum of angles ∆ABC
11. 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 word ‘L’
(d) The letter ‘V’
12. Find the number of point of intersection between two perpendicular lines.
13. Write some English alphabets which are examples of perpendicular line segments
14. Draw a square ABCD and a rectangle PQRS and check which pair of lines are perpendicular to each other ?
15. Give the name of an angle which is made up of less than ¼ of a revolution
16. If the hour hand moves from 1 to 11. Then, name the angle formed due to moving by hour hand.
17. If a boy facing west and makes ¼ revolution anti-clockwise. Further makes 1/6 revolution anti clockwise. Then name the angle that he totally turned by ?
18. Where will the hand of a clock stop, if it starts at 2 and makes ¼ of a revolution ?
19. Which direction will you face, if you start facing East and ¼ revolution anti-clockwise ?
20. Find the number of right angles, formed when the hour hand turned clockwise from :
(a) 1 to 7 (b) 4 to 7 (c) 2 to 11 (d) 12 to 2
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Answers
Answer:
. A figure is said to be regular, if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral ?
2. In a parallelogram how many pairs of opposite sides are parallel ?
3. In a rectangle, how many angles are right angles ?
4. Under what condition, a rectangle is a square ?
5. Under what condition ,
(a) a rhombus will be a square
(b) a parallelogram will be a rectangle
6. In which of the following quadrilateral, diagonals are perpendicular to each other ?
(a) Trapezium (b) Rhombus (c) Square (d) Rectangle
7. In ∆ABC, side AB = BC = CA = 5cm. Then what is the value of ∠A,
∠B, ∠C ?
8. In ∆PQR , ∠P = ∠Q = ∠R = 60°, then what can you say about length of sides of ∆PQR ? Also, write the name of the triangle
9. In ∆ABC, AB = BC and ∠A = 50°, then find the value of ∠C ?
10. If ∆ABC is equilateral triangle, then find half of sum of angles ∆ABC
11. 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 word ‘L’
(d) The letter ‘V’
12. Find the number of point of intersection between two perpendicular lines.
13. Write some English alphabets which are examples of perpendicular line segments
14. Draw a square ABCD and a rectangle PQRS and check which pair of lines are perpendicular to each other ?
15. Give the name of an angle which is made up of less than ¼ of a revolution
16. If the hour hand moves from 1 to 11. Then, name the angle formed due to moving by hour hand.
17. If a boy facing west and makes ¼ revolution anti-clockwise. Further makes 1/6 revolution anti clockwise. Then name the angle that he totally turned by ?
18. Where will the hand of a clock stop, if it starts at 2 and makes ¼ of a revolution ?
19. Which direction will you face, if you start facing East and ¼ revolution anti-clockwise ?
20. Find the number of right angles, formed when the hour hand turned clockwise from :
(a) 1 to 7 (b) 4 to 7 (c) 2 to 11 (d) 12 to 2
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Step-by-step explanation:
20 b
19 c