Types of parallelograms
7.
grade
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exploration
Which
parallelogram has diagonals which are:
a) perpendicular; b)
equal; c) both perpendicular and equal; d) angle bisectors
Explore with the parallelogram
and formulate your conjectures:
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Did you find that:
A parallelogram is a rectangle iff its
diagonals are equal.
A parallelogram is a rhombus iff its diagonals
are perpendicular.
A rectangle is a square iff its diagonals are
perpendicular.
A rhombus is a square iff its diagonals are
equal.
Problem
1.
Dispose the segments AC and
BD so as to be diagonals of a:
a) rhombus b) rectangle c) square d) kite
Change the lenghts of
AC and BD by means of the sliders.
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Problem
2.
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Problem
3.
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Problem
4.
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Problem
5.
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Problem
6.
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Problem
7.
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Problem
8.
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Formulate a similar
problem about point M being on the line AB