Question 6
Make other artwork of your choice with a ruler and a compass.
We will make a beautiful flower design using only a compass and a ruler.
Step 1 — Draw the main circle
Get your compass ready.
Open it to a good size.
Let us use 4 cm.
Draw a circle on your paper.
Mark the center point 'O'.
Step 2 — Mark points on the circle
Keep the compass open to 4 cm.
Put the compass point on the circle.
Draw a small arc across the circle.
Move the compass point to the new arc.
Draw another small arc.
Repeat this all around the circle.
You will make 6 marks.
Step 3 — Draw the flower petals
Keep the compass open to 4 cm.
Put the compass point on one mark.
Draw a full circle.
Do this for all 6 marks.
The circles will overlap.
This makes the flower petals.
Step 4 — Add a center circle
Close your compass a little.
Make it a smaller size.
Let us use 1 cm.
Put the compass point on 'O'.
Draw a small circle there.
Step 5 — Draw connecting lines
Get your ruler.
Find opposite marks.
Draw a straight line between them.
Do this for all 3 pairs.
This makes a star shape.
Step 6 — Finish the artwork
Use a pencil to shade some petals.
Shade every other petal.
This makes it look 3D.
Use a pen for main lines.
This makes your flower stand out.
Answer
Artwork: Circle Flower Pattern
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?