Question 4
Draw the rectangle and four squares configuration (shown in Fig. 8.3) on a dot paper.
What did you do to recreate this figure so that the four squares are placed symmetrically around the rectangle? Discuss with your classmates.
We will use the dots on the paper to measure and draw our shapes.
Step 1 — Draw the main rectangle
Let us start by drawing the rectangle in the middle. We pick four dots to be its corners. We can make it 6 dot-spaces wide. We can make it 3 dot-spaces high. We connect these dots with straight lines.
Step 2 — Draw the four squares
Now, we draw the four squares around the rectangle. All four squares must be the same size. Let us make each square 2 dot-spaces long on every side. To place them symmetrically, we make sure the space between each square and the rectangle is the same.
- For the top-left square, we count 1 dot-space to the left of the rectangle's left edge. We also count 1 dot-space above the rectangle's top edge. We draw a 2 by 2 dot-space square there.
- For the top-right square, we count 1 dot-space to the right of the rectangle's right edge. We also count 1 dot-space above the rectangle's top edge. We draw another 2 by 2 dot-space square there.
- For the bottom-left square, we count 1 dot-space to the left of the rectangle's left edge. We also count 1 dot-space below the rectangle's bottom edge. We draw a 2 by 2 dot-space square there.
- For the bottom-right square, we count 1 dot-space to the right of the rectangle's right edge. We also count 1 dot-space below the rectangle's bottom edge. We draw the last 2 by 2 dot-space square there.
This way, all squares are the same size. They are also equally spaced from the central rectangle. This makes the whole figure symmetrical.
Answer
Draw a rectangle using four dots and draw four squares to make sure all the squares are equal in size and placed around the rectangle in symmetry.
More questions in FIO
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Take a central line of a different length and try to draw the wave on it.
Try to recreate the figure where the waves are smaller than a half circle (as appearing in the neck of the figure, 'A Person'). The challenge here is to get both the waves to be identical. This may be tricky!
Draw the rectangle and four squares configuration (shown in Fig. 8.3) on a dot paper.
What did you do to recreate this figure so that the four squares are placed symmetrically around the rectangle? Discuss with your classmates.
Identify if there are any squares in this collection. Use measurements if needed.
Think: Is it possible to reason out if the sides are equal or not, and if the angles are right or not without using any measuring instruments in the above figure? Can we do this by only looking at the position of corners in the dot grid?
Draw at least 3 rotated squares and rectangles on a dot grid. Draw them such that their corners are on the dots. Verify if the squares and rectangles that you have drawn satisfy their respective properties.