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Question

1)Some parallelograms are trapezoids.


True
False

2)All squares are quadrilaterals.


True
False

3)Every square is a rhombus.


True
False

Answer 1

1 - False
2 - True
3 - True

#1 - Actually, this one could be argued both ways, but the traditional definition of a trapezoid is a 4-sided polygon with EXACTLY one pair of parallel sides.
Using this definition, it is clear that a parallelogram (which has 2 pairs of parallel sides) CANNOT be a trapezoid

#2 - This one's easy: A quadrilateral has 4 sides, so a figure that is a square MUST be a quadrilateral

#3 - This one's a bit tougher, but not too bad: a rhombus is a parallelogram whose 4 sides HAVE EQUAL LENGTH. Are all the sides of a square equal? Yes! So, a square is a rhombus

Answer 2

1). False. A parallelogram has 2 pairs of parallel
sides, a trapezoid only 1.

2), True. A square and a quadrilateral both have 4 sides.

3). True. A square and a rhombus are parallelograms
with all 4 sides congruent.

Answer 3

Next time, don't cheat, and figure it out for yourself.
1) False (No, parallelograms ALWAYS have 2 pairs of parallel sides and a trapezoid can ONLY have 1.)
2) True (Yes, every square has 4 sides[quadrilateral].)
3) True (Yes, the 4 sides of every square are equal[rhombus].)

Answer 4

false, true, false.