From the given statements, let's determine the true and false statements.
• Statement 1:
Every parallelogram is a rhombus.
A parallelogram may have two equal sides while a rhombus must have 4 equal sides.
Therefore, this statement is False.
Not every parallelogram is a rhombus.
• Statement 2:
Every square is a parallelogram.
A parallelogram has equal opposite sides and angles while in a square the all sides and angles are equal, this means the opposite sides and angle in a square are equal.
Therefore, this statement is True.
• Statement 3:
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• Every quadilateral is a square.
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• A quadilateral is a polygon with four sides and edges. All four sides polygons are called quadilaterals.
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• This means the rhombus, rectangle, trapezoid are all quailaterals.
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• Therefore, this statement is false.
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• Not every quadilateral is a square.
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• Statement 4:
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• Every rhombus with four right angles is a sqaure.
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• If a rhombus have four right angles, it can be called a square because a rhombus already have 4 equal sides.
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• Therefore, this statement is True.
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• ANSWER:
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• a) False
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• (b) True
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• c) False
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• d) True.
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