Every rhombus is a square.State whether the given statement are True or False.
Answers
Answered by
14
★False !!
Similarity:-
Both has all sides equal..
differences:-
1)diagonals of square are equal in length..
but
diagonals of rhombus are different in length..
2)squares has 90° angles
soo its all angles are equal..
and Opposite angles of a rhombus have equal measure but not all angles are equal...
soo ,we cannot say that rhombus is a square...
________________
Similarity:-
Both has all sides equal..
differences:-
1)diagonals of square are equal in length..
but
diagonals of rhombus are different in length..
2)squares has 90° angles
soo its all angles are equal..
and Opposite angles of a rhombus have equal measure but not all angles are equal...
soo ,we cannot say that rhombus is a square...
________________
Answered by
7
《▪》Properties of rhombus :
• All sides are congruent.
• The diagonals bisect the angles.
• The diagonals are perpendicular bisectors of each other.
• Vertices are not 90°.
• Diagonals of Rhombus are of unequal length.
• Only opposite angles of Rhombus are of equal measure.
《▪》Properties of square :
• All sides are congruent.
• All angles are right angles.
• Diagonals of Square are of equal length.
• All angles of Square are of 90 degree each. (Right angled at each Vertex)
____________________________
So from the above, we can say..
➺❥• This statement is false because all sides are congruent but not 90 degrees like a square. (A rhombus does not have all the properties of square.)
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• All sides are congruent.
• The diagonals bisect the angles.
• The diagonals are perpendicular bisectors of each other.
• Vertices are not 90°.
• Diagonals of Rhombus are of unequal length.
• Only opposite angles of Rhombus are of equal measure.
《▪》Properties of square :
• All sides are congruent.
• All angles are right angles.
• Diagonals of Square are of equal length.
• All angles of Square are of 90 degree each. (Right angled at each Vertex)
____________________________
So from the above, we can say..
➺❥• This statement is false because all sides are congruent but not 90 degrees like a square. (A rhombus does not have all the properties of square.)
____________________________
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