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.
- To recreate the figure symmetrically on dot paper, use the grid dots as uniform units of measurement.
- First, draw the central rectangle by choosing a specific number of dot-spaces for its length and breadth.
- Next, draw four identical squares around the rectangle, ensuring each square has the same side length and is positioned at an equal dot-distance from the rectangle's edges.
Step 1 · Draw the Central Rectangle
- Choose four dots on the dot paper to form the corners of the central rectangle.
- Draw a rectangle with a width of dot-spaces and a height of dot-spaces by connecting the dots with straight line segments.
Step 2 · Draw the Four Symmetrical Squares
To ensure symmetry, make all four squares of equal size ( dot-spaces) and place each at an equal distance of dot-space from the rectangle:
- Top-left square: Count dot-space left of the left edge and dot-space above the top edge; draw a square.
- Top-right square: Count dot-space right of the right edge and dot-space above the top edge; draw a square.
- Bottom-left square: Count dot-space left of the left edge and dot-space below the bottom edge; draw a square.
- Bottom-right square: Count dot-space right of the right edge and dot-space below the bottom edge; draw a square.
Draw a central rectangle on the dot paper, then draw four identical squares placed at an equal dot-distance from each of its four corners to maintain symmetry.
- Unequal Dot Counts: Counting different numbers of dot-spaces for different squares, making them non-identical.
- Asymmetric Spacing: Placing squares at unequal distances from the edges of the central rectangle, breaking the symmetry of the figure.
More questions in FIO
What radius should be taken in the compass to get this half circle? What should be the length of ?
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.