Question

Engineers and architects often use transformed shapes to design objects or structures. Analyze a building or structure around you and describe the transformations that you see using geometric vocabulary. How does the transformed shape contribute to the design of the object?

Answer 1

Transformation in shapes contribute a lot to the design of objects or buildings as i have explained below.

• There are four major types of transformation in maths namely;

Translation, Reflection, Rotations and Dilation.

Now, these transformations can be applied to buildings as explained below;

1) Reflection; In buildings, sometimes we have rectangular or square areas of buildings or rooms opposite each other that are exactly similar. To do this usually, architects or engineers make use of reflection which creates symmetry to draw that area or floor on the opposite side just as it will be when mirrored.

2) Rotation; Sometimes, some elements of a building need to be rotated to fit into the exact position. For example, a toilet as an object in a drawing. When that same toilet object is to be positioned in another space but at maybe an angle of 90°, it can be rotated to 90° for that new position.

3) Translation; This is very common among architects and engineers because more often than not, there are usually similar elements and areas in building drawings. For example a 7 storey building could have identical floors which could be rectangular in shape and by translation of the ground floor 7 times, the remaining floors will be gotten.

4) Dilation; This is also useful in buildings because, some elements may be larger than others by a particular scale factor and instead of drawing a new one, they can just reduce or increase that object by the particular scale factor to get the new one.

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