Can a quadrilateral be constructed if measures of all interior and one of the sides are given? Why? Why not?
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Answers
Answer:
A quadrilateral can be drawn if only measures of four sides are given.
Step-by-step explanation:
if you are asked a question
(refer the image)
To construct a unique quadrilateral, we will need a minimum of 5 dimensions.
Here in option A, only four dimensions are provided, so a unique quadrilateral not possible because we don't know its angles.
In option B, we have five dimensions, but it does not result in a unique quadrilateral. we needed one more side length to construct uniquely.
In option C, It is not possible to construct a unique quadrilateral from only two diagonals given, unless it is a rhombus or square.
In option D, we have five dimensions. Here if we draw a side first then mark the angle on both ends then we can construct a quadrilateral uniquely
Hence option D is correct.
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A quadrilateral can be drawn if only measures of four sides are given.
Step-by-step explanation:
if you are asked a question
(refer the image)
To construct a unique quadrilateral, we will need a minimum of 5 dimensions.
Here in option A, only four dimensions are provided, so a unique quadrilateral not possible because we don't know its angles.
In option B, we have five dimensions, but it does not result in a unique quadrilateral. we needed one more side length to construct uniquely.
In option C, It is not possible to construct a unique quadrilateral from only two diagonals given, unless it is a rhombus or square.
In option D, we have five dimensions. Here if we draw a side first then mark the angle on both ends then we can construct a quadrilateral uniquely
Hence option D is correct.
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