Answera polygon that has two right angles and one set of parallel lines is a hexagon
This one is much more straightforward. There are 5C2 = 10 ways to choose two parallel lines from the set of five. There are 4C2 = 6 ways to choose two parallelograms from a set of four. Any parallelogram is uniquely determined by one pair of lines from the five, and one pair of lines from the four. Thus, the number of possible parallelograms is(5C2)*(4C2) = (10)*(6) = 60
There isn't a name...they're just called a pair of parallel lines.
Correct. Unless the parallel lines are coincident, in which case the solution set is the whole line.
Yes, that's what makes them parallel lines - they have the same slope. So they never will intersect with each other. If a set of lines didn't have the same slope, at some point they would intersect and thus would not be parallel.
Answera polygon that has two right angles and one set of parallel lines is a hexagon
trapezoid
That would be a right trapezoid.
Rhombus, actually all the lines are parallel even though it is an offset square. what you want is a trapezoid or some variation there of.
A parallelogram always has one set of parallel lines, plus another set also.A trapezoid (trapezium) always has exactly one set of parallel lines and no more.Any shape with more than four sides can have one set of parallel lines, but doesn'tnecessarily have to.
A polygon with four or more sides can meet all of the requirements.
A trapezoid has one set of parallel lines.
No. it is the only polygon that can not have parallel lines all though any regular polygon with an odd number of lines will have no parallel lines If three points were in a straight line it could be argued that these formed a triangle with parallel sides, though really it would be just a line; or if we had a triangle with infinite height the sides would be parallel. In any other case, no.
It would be a rectangle.
A trapezoid.
Yes. The top and bottom lines of a trapezoid are parallel.
a trapezoid would work as long as there is still one set of parallel lines and one set of non-parallel lines.