Construction of a Rhombus When One Diagonal and One Angle Are Given
You are given...
Question
You are given the length of a diagonal of a rhombus and one of the angles of the rhombus. Which property of the rhombus will be used in the construction of this rhombus?
A
The lengths of the sides of a rhombus are equal.
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B
The angles of a rhombus are 90∘
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C
Diagonal of a rhombus bisects the opposite angles.
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D
Diagonals of a rhombus are perpendicular bisectors of each other.
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Solution
The correct option is C Diagonal of a rhombus bisects the opposite angles. ⇒ We have given the length of diagonal of rhombus and one of angles of rhombus.
⇒ To construct an rhombus we will use the property that the diagonal of a rhombus bisect the opposite angle.
Because we know opposite angles of rhombus are equal, so it will be easier to construct rhombus.