To show that 4 points are the vertices of a rhombus, which of the following must be shown? A. All sides are of equal length. B.
The diagonals are of equal length. C. The opposite sides are of equal length and the diagonals are of equal length. D. The opposite sides are parallel and the diagonals are of equal length.
2 answers:
Answer:
A)
Step-by-step explanation:
The starting point to solve this, is to gather the concept of what a Rhombus is, an Equilateral Parallelogram, so let's examine the following options
A. All sides are of equal length. True
Considering the definition hence all sides have the same length.
B. <em>The Diagonals are of equal length</em> False. Since there is a bigger diagonal than the second Diagonal, we cannot assure they're of equal lengths.
Check the picture out below
C. <em>The opposite sides are of equal length and the diagonals are of equal length </em>False. Since those diagonals are different we cannot agree with the second part
D. <em>The opposite sides are parallel and the diagonals are of equal length</em> False Different length for each diagonal.
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