On a blueprint for a house, if the master bedroom is a parallelogram with at least one right angle, then will the master bedroom will be the shape of a rectangle, a rhombus, a square or just a parallelogram?
1 Answer
Nov 20, 2015
Rectangle (or even square)
Explanation:
A parallelogram has opposite angles equal and adjacent angles supplementary.
If one angle is right, then its opposite is also right. Since the angle is supplementary to its adjacents, it follows that its adjacents are also right. Hence, if one angle of a parallelogram is right, then all its angles are right and we have a rectangle.
Is the master bedroom a square? Not necessarily. Equal angles does guarantee that the sides of the parallelogram are also equal.
Is the master bedroom a rhombus? Only if it is a square.
