Question 4
Construct
1. A Person
How will you draw this?
We will draw simple shapes to make a person.
Step 1 — Draw the head
First, we draw the head.
It is a circle.
Use a compass for this.
Draw a circle on your paper.
Step 2 — Draw the neck
Next, we draw the neck.
It is a straight line.
Draw it downwards from the circle.
The line should be short.
Step 3 — Draw the body's top curve
Now, draw the body's top.
It is a curved line.
This curve goes downwards in the middle.
Draw it below the neck line.
The neck line touches its middle.
Step 4 — Draw the body's sides and bottom
Finally, draw the body's sides.
Draw two vertical lines.
Start from the ends of the curve.
Make them the same length.
Connect their bottom ends.
Use a horizontal line.
Answer
Follow the steps above to draw the person.
More questions in A
Observe the following figures and try drawing them freehand.
Mark a point ‘P’ in your notebook. Then, mark as many points as possible, in different directions, that are 4 cm away from P.
Think: Imagine marking all the points of 4 cm distance from the point P. How would they look?
Try to draw it and verify if it is correct by taking some points on the curve and checking if their distances from P are indeed 4 cm. Explore, if you have not already done so, and see if a compass can be used for this purpose.
You can start by marking a few points of distance 4 cm from P using the compass. How can this be done?
Having explored the use of a compass, go ahead and recreate the images in Fig. 8.1. Can you make the figures look as good as the figures shown there? Try again if you want to!
Also, has the use of instruments made the construction easier?
Construct
1. A Person
How will you draw this?
2. Wavy Wave
Construct this.
Make other artwork of your choice with a ruler and a compass.
Explore
How should the rectangle be constructed so that the diagonal divides the opposite angles into equal parts?
How will you record your observations? First, identify the parameters that need to be tracked. They are the sides of the rectangle and the 8 angles formed by the two diagonals. Are there any other measurements that you would want to keep track of?
In your experimentation, did you consider the case when all four sides of the rectangle are equal? That is, did you consider the case of a square? See what happens in this special case!
Math Talk
What general laws did you observe with respect to the angles and sides? Try to frame and discuss them with your classmates.
How can one be sure if the laws that you have observed will always be true?