Parallelograms
7. grade
TCH
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Problem
1.
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Problem
2.
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Problem
3.
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Problem
3.1.
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Problem
3.2. Prove
that every line through the intersection point of the diagonals of a
parallelogram divides it in two parts of equal area.
Problem
3.3. Given
two parallelograms construct a line which divides them in two parts of equal
area.
Problem
3.4. Prove
that if a line divides a parallelogram in two parts of equal area it passes
through the intersection point of its diagonals.
Problem
4.
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Problem
5.
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Problem
6. Place the
segments AC and
BD so that
they are diagonals of a parallelogram.
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Problem
7. Is it true that the
parallelogram is a quadrilateral with the property:
а)
two of its sides are equal or parallel
b) two
of its sides are equal and two are parallel
c) its
angles are pairwise equal
d) two
of its sides and two of its angles are equal
e) two
of its sides are parallel and two of its angles are equal.
If you answer with "no" give a counterexample.