Well-designed AP 6th Class Maths Textbook Solutions Chapter 5 Understanding Elementary Shapes InText Questions offers step-by-step explanations to help students understand problem-solving strategies.
AP 7th Class Maths 5th Chapter Understanding Elementary Shapes InText Questions
Try these (Page No: 122)
Question 1.
Take any post card. Use the above technique to measure its two adjacent sides.
Solution:
Student Activity.
Question 2.
Select any three objects having a flat top. Measure all sides of the top using a divider and a ruler.
Solution:
Student Activity.
Try these (Page No:128)
Question 1.
What is the angle name for half a revolution?
Solution:
We know that,
1 complete angle i.e., 2 straight angles = 1 revolution
∴ \(\frac { 1 }{ 2 }\) [ 2 straight angles = \(\frac { 1 }{ 2 }\) × 1 revolution
Hence, \(\frac { 1 }{ 2 }\) revolution = A straight angle
Question 2.
What is the angle name for one-fourth revolution?
Solution:
We know that
4 right angles = 1 revolution
∴ One right angle = \(\frac { 1 }{ 4 }\) revolution
Hence, \(\frac { 1 }{ 2 }\) revolution = one right angle
Question 3.
Draw five other situations of one-fourth, half and three-fourth revolution on a clock.
Solution:
Try these (Page No: 132)
Question 1.
The hour hand of a clock moves from 12 to 5.
Is the revolution of the hour hand more than 1 right angle ?
Solution:
Yes, the revolution of the hour hand in this case is more than 1 right angle.
Question 2.
What does the angle made by the hour hand of the clock look like when it moves from 5 to 7. Is the angle moved more than 1 right angle ?
Solution:
The angle made by the hour hand in moving from 5 to 7 looks like an acute angle. No, the angle is not more than 1 right angle.
Question 3.
Draw the following and check the angle with your RA tester.
a) going from 12 to 2
Solution:
From 12 to 2
The angle made by hour hand is going from 12 to 2 is shown in the figure along side. When we check by RA tester, it is formed to be less than a right angle.
b) from 6 to 7
Solution:
From 6 to 7
The angle made by hour hand is movling from 6 to 7 is less than $90^{\circ}$ (using RAtest).
c) from 4 to 8
Solution:
From 4 to 8
The angle made by the hour hand is moving from 4 to 8 is more than right angle (using RA test).
d) from 2 to 5
Solution:
From 2 to 5
The angle made by hour hand is moning from 2 to 5 is a right angle.
Question 4.
Take five different shapes with corners. Name the corners. Examine them with your tester and tabulate your results for each case :
Solution:
It is an activity. So, the students have to do it themselves.
Try these (Page No: 134)
Question 1.
Look around you and identify edges meeting at corners to produce anglea. List ten sach stuations.
Solution:
1) Room comers
2) Blackboard corners
5) Book corners
4) Bearua comers
5) Ground and electric pole
6) Ladder and wall
7) Window carner
8) Cross rasds
9) Opening book
10) Photo frame corners
Question 2.
List ten situations where the angles made are acute.
Solution:
1) Angle between to cycle wheel intersecting foxes.
2) Angle between to axjacknt tingers.
3) Angle between two strokes of “∀”
4) Angle between hour hand and minutes hand at 2° pm.
5) Angles in right angle triangle other than right angle.
6) One angle of sea – saw.
7) Angle between ladder and ground.
8) Angle between ladder and wall.
9) Angles in the Alphabet ‘
‘
10) Angles in the Alphabet ‘
‘
Question 3.
List ten situations where the angles made are right angles.
Solution:
1) Angles between corner of walls.
2) Laptop screen corners.
3) Angles between to edges of a table at a corner.
4) Angle between hour hand and minutes hand at 3’ o clock.
5) One angle of set square.
6) Angle between electric pole and ground.
7) Angle at the corner of a window.
8) Angle at the corner of the black board.
9) Angles in the alphabet ‘H’.
10) Angles in the square.
Question 4.
Find five situations where obtuse angles are made.
Solution:
1) The open book kept for reading.
2) Roof top.
3) Angle between hour hand and minute hand at 8 ‘ o clock.
4) Exterior angle of acute angle triangle.
5) Angle between wide open cupboard and its door.
Question 5.
List five other situations where reflex angles may be seen.
Solution:
1) pizza
2) cake
3) Electric wires on the electric pole
4) Divider
5) In the alphabet
Try These (Page No: 150)
Question 1.
Try to draw rough sketches of
a) a scalene acute angled triangle.
Solution:
Scalene acute angled triangle.
(∠A, ∠B,∠C are acute angles)
b) an obtuse angled isosceles triangle.
Solution:
(PQ = QR, ∠Q is obtuse angle)
Obtuse angled triangle isosceles triangle
c) a right angled isosceles triangle.
Solution:
(∠Y is right angle, XY = YZ)
Right angled isosceles triangle.
d) a scalene right angled triangle.
Solution:
(∠L is right angle, ∠M ≠ K)
Scalene right angled triangle
Question 2.
Do you think it is possible to sketch
a) an obtuse angled equilateral triangle ?
b) a right angled equilateral triangle?
c) a triangle with two right angles ?
Think, discuss and write your conclusions.
Solution:
(a), (b), (c) are not possible to sketch.