Rectangle trapezium

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nick9
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Rectangle trapezium

Postby nick9 » Mon Sep 18, 2017 3:22 am

How can I create a rectangle trapezium given the height, base and inclination of the oblique side?

Lazur
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Re: Rectangle trapezium

Postby Lazur » Mon Sep 18, 2017 3:46 am

Draw a rectangle, set height/width in the spinboxes according to the measures.
Enable snapping to cusp nodes and path segment intersections, pull vertical guide lines from the ruler and snap them to the base's ends.
Double click each guide line to set the angle you like, and use the pen tool to draw the trapezium with snapping.

In a nutshell.
Though if you are familiar with the tools it's easier to draw in a similar approach.

Image

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brynn
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Re: Rectangle trapezium

Postby brynn » Mon Sep 18, 2017 3:55 am

Is a "rectangle trapezium" the same thing as a "trapezoid"? I did some searching, but didn't find any definitive distinction.

Lazur
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Re: Rectangle trapezium

Postby Lazur » Mon Sep 18, 2017 4:23 am

The certain thing is from the original post that it is having a base, a height -so a parallel side- and oblique sides at a given angle.
By that I made the gif with the assumption it is an isosceles although it could also be a parallelogram (if both oblique sides have the same inclination).

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brynn
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Re: Rectangle trapezium

Postby brynn » Mon Sep 18, 2017 4:41 am

Well, I saw one thing that said something like the attached would be called a trapezium. But other things showed the kind where 2 sides are parallel and the other 2 not - more what I think of as a trapezoid.
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t.png
t.png (9.92 KiB) Viewed 1625 times

Lazur
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Re: Rectangle trapezium

Postby Lazur » Mon Sep 18, 2017 4:48 am

Wikipedia says the name is confusing because it means two different things in/outside the US.
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brynn
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Re: Rectangle trapezium

Postby brynn » Mon Sep 18, 2017 5:07 am

Hhm, I tried Wikipedia, but didn't find it. Maybe spelled it wrong in the search. Anyway, thanks for the clarification :D

theozh
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Re: Rectangle trapezium

Postby theozh » Mon Sep 18, 2017 5:13 am

@Lazur, good idea with the guides.
Although, I would say the horizontal guide is not necessary (just hold Ctrl-Key when moving the node)
And in case you want it symmetric instead of mirroring:
1. Use node tool (F2) and select both top nodes
2. drag the arrow while holding Shift-Key
Done.

@brynn,
apparently, there are some intercultural differences concerning Trapezium
https://en.wikipedia.org/wiki/Trapezium

Trapezoid.gif
Trapezoid.gif (64.87 KiB) Viewed 1609 times


edit: for this to work, the option "Show transformation handles for selected nodes" need to be enabled.

ShowTransformationHandlesForSelectedNodes.png
ShowTransformationHandlesForSelectedNodes.png (13.34 KiB) Viewed 1509 times
Win7/64, Inkscape 0.92.2


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