Draw two parallelograms of different dimensions and note down the length of their sides, the measure of opposite angles and length of their diagonals.
Answers
Step-by-step explanation:
parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations.
Parallelogram
Parallelogram.svg
This parallelogram is a rhomboid as it has no right angles and unequal sides.
Type
quadrilateral, trapezium
Edges and vertices
4
Symmetry group
C2, [2]+,
Area
b × h (base × height);
ab sin θ (product of adjacent sides and sine of the vertex angle determined by them)
Properties
convex
By comparison, a quadrilateral with just one pair of parallel sides is a trapezoid in American English or a trapezium in British English.
The three-dimensional counterpart of a parallelogram is a parallelepiped.
The etymology (in Greek παραλληλ-όγραμμον, parallēl-ógrammon, a shape "of parallel lines") reflects the definition.
Special cases
Characterizations
Other properties