The resulting figure obtained from joining the consecutive mid points ...
There are several ways to approach this problem, but one of the most straightforward methods is to draw a square and label its sides and midpoints. Let's go through the solution step by step.
Step 1: Draw a square
Start by drawing a square with all sides of equal length. Label the four corners as A, B, C, and D.
Step 2: Label the midpoints
Next, label the midpoints of each side of the square. Let's call the midpoint on AB as E, BC as F, CD as G, and DA as H.
Step 3: Join the midpoints
Now, join the midpoints consecutively. That is, join E and F, F and G, G and H, and finally, H and E.
Step 4: Observe the resulting figure
Take a moment to observe the resulting figure formed by joining the consecutive midpoints. You will notice that it is a smaller square inside the original square.
Step 5: Identify the shape
Based on our observation, we can conclude that the resulting figure obtained from joining the consecutive midpoints of the sides of a square is another square. Therefore, the correct answer is option 'B' - Square.
Explanation:
When we join the consecutive midpoints of the sides of a square, we are essentially connecting the midpoints of each side. This creates a smaller square inside the original square. This smaller square shares the same center and orientation as the original square, but its sides are shorter in length. Therefore, the resulting figure is another square. This can be proven mathematically as well using properties of similar triangles and the fact that the diagonals of a square bisect each other at right angles.
In conclusion, the correct answer is option 'B' - Square.
The resulting figure obtained from joining the consecutive mid points ...
The resulting figure will be a square
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