
Explain two attributes a parallelogram and a rectangle have in common.
Answer
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Hint: A parallelogram is a quadrilateral i.e., a four-sided polygon with opposite sides parallel to each other. The opposite sides of a parallelogram are of equal length. A rectangle is a quadrilateral with opposite sides of equal length and all angles equal to each other and \[{90^ \circ }\] each.
Complete answer:
In the question we are asked to write any two attributes common to a parallelogram and a rectangle. Those attributes are as follows: -
Additional details:
Other similarities: -
Note: one major difference between a parallelogram and a rectangle is that in the case of a rectangle all of its angles are equal to each other and have a measure of \[{90^ \circ }\]. But, in case of a parallelogram, the angles can be of different measurement and may not be equal. If the internal angle of a parallelogram becomes equal to \[{90^ \circ }\], then it would become a rectangle. Area of the parallelogram is the product of base and height. Area of a rectangle is the product of its length and breadth.
Complete answer:
In the question we are asked to write any two attributes common to a parallelogram and a rectangle. Those attributes are as follows: -
| rectangle | parallelogram |
| a) opposite sides of a rectangle are parallel to each other. | a) opposite sides of a parallelogram are also parallel to each other. |
| b) opposite angles of a rectangle are equal, each \[{90^ \circ }\]. | b) opposite angles of a parallelogram are also equal. |
Additional details:
Other similarities: -
| rectangle | parallelogram |
| a) adjacent angles of a rectangle are supplementary. | a) adjacent angles of a parallelogram are also supplementary. |
| b) diagonals of a rectangle bisect each other. | b) diagonals of a parallelogram also bisect each other. |
Note: one major difference between a parallelogram and a rectangle is that in the case of a rectangle all of its angles are equal to each other and have a measure of \[{90^ \circ }\]. But, in case of a parallelogram, the angles can be of different measurement and may not be equal. If the internal angle of a parallelogram becomes equal to \[{90^ \circ }\], then it would become a rectangle. Area of the parallelogram is the product of base and height. Area of a rectangle is the product of its length and breadth.
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