Select two parallel lines out of 5: 5*4*3/(2*1) = 30 ways
Select two parallel lines out of 4: 4*3*2/(2*1) = 12 ways
Combine the above 2: 30*12 = 360 parallelograms.
Bisect the rhombus with a line parallel to either of the pairs of sides.
A quadrilateral with 2 pairs of parallel line segments is a parallelogram. Parallelograms include rectangles, rhombuses, and squares.
Technically, lines are continuous, so parallelograms are actually composed of line segments. The line segments composing the sides of the parallelogram, come in two pairs in 2D space. Each pair is composed of two line segments that are parallel to each other, but do not occupy the same line. The two pares of line segments must all meet to then form a quadrilateral.
No ! a parallelogram doesn't have any line of symmetry !
The angles formed are supplementary, equal corresponding and equal alternate angles
Bisect the rhombus with a line parallel to either of the pairs of sides.
A quadrilateral with 2 pairs of parallel line segments is a parallelogram. Parallelograms include rectangles, rhombuses, and squares.
No angle is formed. That's what parallel means.
Many polygons, such as squares, rectangles, rhombi, parallelograms, etc. have more than 1 pairs of parallel line segments. Trapezoids have only 1 pair of parallel line segments. These few shapes are just quadrilaterals, other polygons also have more than 1 pair of parallel line segments (e.g. regularhexagons, octagons, etc.). Triangles never have any parallel line segments.
Technically, lines are continuous, so parallelograms are actually composed of line segments. The line segments composing the sides of the parallelogram, come in two pairs in 2D space. Each pair is composed of two line segments that are parallel to each other, but do not occupy the same line. The two pares of line segments must all meet to then form a quadrilateral.
An infinite number. Any parallelogram can be cut in half by a line parallel to one of its sides to increase the number by one. And there is no end to that process.
They are angles formed by the transversal line cutting through parallel lines
True. When you fold the paper so that point P lies on the fold line and the two sides of line L match up, the crease formed will be parallel to line L. This is because the fold bisects the angle formed by the two sides of line L, creating two congruent angles, which in turn makes the crease line parallel to line L.
No ! a parallelogram doesn't have any line of symmetry !
Parallel Lines. If they are in different planes, they need not be parallel. Think of a cuboid room. Line 1 is the edge formed by the floor and the wall opposite you. Line 2 is the edge formed by the wall behind you and the wall to your right. These two lines will not meet but they are certainly not parallel.
The angles formed are supplementary, equal corresponding and equal alternate angles
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