areas of parallelograms and triangles theorems and properties
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It is a quadrilateral where both pairs of opposite sides are parallel. There are six important properties of parallelograms to know: ... The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.
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1)diagonals of a ||gm bisect it into 2 congruent triangles.
2) converse of theorem 1.
3)||gm with same base n b w same parallel r equal in area.
4)parallelogram with equal area n same base r b/w same parallels.
5) parallelogram b/w same parallel n with equal area have same base.
TRIANGLE :
1)angle sum prop.
2)exterior angle prop.
3)triangle with same base n b /w same parallel r equal in area.
N as in parallelogram.
2) converse of theorem 1.
3)||gm with same base n b w same parallel r equal in area.
4)parallelogram with equal area n same base r b/w same parallels.
5) parallelogram b/w same parallel n with equal area have same base.
TRIANGLE :
1)angle sum prop.
2)exterior angle prop.
3)triangle with same base n b /w same parallel r equal in area.
N as in parallelogram.
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