QUESTION IMAGE
Question
true or false?
every rhombus is a square. \t\t● true
\t\t\t\t\t\t\t\t\t\t\t\t\t● false
every rectangle with four congruent sides is
a square. \t\t\t\t\t\t\t\t\t\t\t● true
\t\t\t\t\t\t\t\t\t\t\t\t\t● false
every square is a parallelogram. \t\t\t\t\t\t\t\t\t\t● true
\t\t\t\t\t\t\t\t\t\t\t\t\t● false
every quadrilateral is a rectangle. \t\t\t\t\t\t\t\t\t● true
\t\t\t\t\t\t\t\t\t\t\t\t\t● false
1. Every rhombus is a square.
A rhombus has four equal - length sides, but its angles don't have to be right angles. A square has four equal - length sides and four right angles. So, not every rhombus is a square.
A rectangle has four right angles. If a rectangle also has four congruent (equal - length) sides, then it meets the definition of a square (four right angles and four equal - length sides).
A parallelogram is a quadrilateral with two pairs of parallel sides. A square has two pairs of parallel sides (opposite sides are parallel) and also meets the other properties of a square. So, a square satisfies the definition of a parallelogram.
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False