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Moving segments of a line.

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So I have a line made of segments. Here's a pic (I forgot the end dot on the first line) So it'll start off as a straight line and when the user moves the red dot with the mouse the entire line moves, and when the user rotates a blue dot, all the segments ahead of it and the one behind it will rotate on the dot 1 down in the line. How can I do this? I'm using Direct2D but it shouldn't be too hard to explain even if you haven't used it. So far I have one segment, this is what I've got so far.
			angle=(float)atan2((double)d_mousePos.y-movPos.y,(double)d_mousePos.x-movPos.x)* 57.29f+90;
			movPos.x = (long)d_mousePos.x;
			movPos.y = (long)d_mousePos.y;
	rotation = D2D1::Matrix3x2F::Rotation(angle, D2D1::Point2F(250.0f, 200.0f));
	translation = D2D1::Matrix3x2F::Translation((float)movPos.x-250, (float)movPos.y-200);
	RT->SetTransform(rotation* translation);
	RT->DrawLine(D2D1::Point2F(250, 200),D2D1::Point2F(250, 140),Black, 8, StrokeStyle);
	RT->DrawLine(D2D1::Point2F(250, 140),D2D1::Point2F(280, 170),Black, 8, StrokeStyle);

	RT->FillGeometry(bluedot1, Red);
	RT->FillGeometry(reddot, Orange);

I'm new to transformations so I'm kinda stuck on what comes next.

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