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taloneyes3535
08.09.2020 •
Mathematics
The data marked in the squares , name the figure which is not a parallelogram.
Write the reason also...
plz help!
will give the brainliest!
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Ответ:
Numbering starts from the leftmost figure.
1) Opposite sides are equal $\implies$ quadrilateral is a parallelogram. (Can be proven using basic congruency theorems)
2)
Opposite sides are parallel $\implies$ trapezium.
But the other pair of sides are not parallel, hence in the general case this is not a parallelogram but is a trapezium with two equal sides.
3) One pair of opposite sides are congruent and parallel $\implies$ this is a parallelogram.
Proof: Join two vertices and you get that the two triangles formed are congruent.
4)
Diagonals are bisected at their intersections $\implies$ Quadrilateral is a parallelogram.
Show that the two opposite little triangles are congruent by using SAS test (or whatever you call it)
So the figure which is not a parallelogram is 2.
Ответ:
the answer is A
Step-by-step explanation: