A quick and simple introduction to drawing with the 2D canvas API, using a star as an example. Try this JsFiddle to play around with different shapes.
var canvas;
var ctx;
var length = 15; // length of the star's arm
// get a reference to the 2d context from canvas element
canvas = document.getElementById("star");
ctx = canvas.getContext("2d");
// move into the middle of the canvas, just to make room
ctx.translate(150, 150);
// initial offset rotation so our star is straight
// this offset is half the angle of a 5 star point, which
// is 36°, so 18° which in radians is:
ctx.rotate((Math.PI * 1 / 10));
// make a point, 5 times
for (var i = 5; i--;) {
// draw line up
ctx.lineTo(0, length);
// move origin to current same location as pen
ctx.translate(0, length);
// rotate the drawing board the angle of a star point
ctx.rotate((Math.PI * 2 / 10));
// draw line down
ctx.lineTo(0, -length);
// again, move origin to pen...
ctx.translate(0, -length);
// ...and rotate, ready for next arm
// this rotation is the angle between the points, 120°
ctx.rotate(-(Math.PI * 6 / 10));
}
// last line to connect things up
ctx.lineTo(0, length);
ctx.closePath();
// stroke the path, you could also .fill()
ctx.stroke();