Q: What does a pentagon with perpendicular and parallel sides look like?

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Six parallel sides in pairs? Sounds like a cube.

a triangle, or pentagon.

A regular pentagon has 5 equal endless and no equal sides. However if you draw a pentagon like simple house with a square below and a trainable on top for the roof, then you get one pair of parallel sides (the walls) but it will always have 5 angles.

As far as we know, two lines can be perpendicular, or they can be parallel, but they can't be both.

I think it is these: Parallel: Perpendicular: it looks like an upside down capital "T"

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Six parallel sides in pairs? Sounds like a cube.

a triangle, or pentagon.

A pentagon may have 0, 2, or 4 parallel lines. A regular pentagon has 0 parallel lines. A pentagon like a house has 2 parallel lines. A rectangle with a corner cut off has 4 parallel lines.

A regular pentagon has 5 equal endless and no equal sides. However if you draw a pentagon like simple house with a square below and a trainable on top for the roof, then you get one pair of parallel sides (the walls) but it will always have 5 angles.

Not necessarily; a rhombus has 2 pairs of opposite sides which are parallel, like the parallelogram, and its diagonals are perpendicular. (It also has all its sides of the same length.)

5 sides just like the shape pentagon

As far as we know, two lines can be perpendicular, or they can be parallel, but they can't be both.

I think it is these: Parallel: Perpendicular: it looks like an upside down capital "T"

The usual form for the area of a trapezoid is (average of the parallel sides) x height. If only the lengths of the sides are given, then calculation of the area requires trigonometry and multiple solutions are possible. Often, teachers will give a problem like this showing the two unequal parallel sides and two unequal, non-parallel sides with a diagram showing that one of the sides is perpendicular to the parallel sides. That side length would be the height.

A pentagon is a polygon with 5 sides.

A trapezium, an irregular pentagon (like a child's drawing of a house with a roof), irregular n-gons of higher order.

Yes, I do believe that no matter what shape it looks like, it is a pentagon if it has 5 sides.