["A", "B", "C", "D", "E", "F"]
randRange(0, 5)
randRange(1, 2)
(START + SIZE) % 6
VERTICES[START]
VERTICES[END]
VERTICES[(START + 3) % 6]
VERTICES[(END + 3) % 6]
(function() {
var startName = VERTICES[START];
var endName = VERTICES[END];
var notStart = "[" + _.without(VERTICES, startName).join("") + "]";
var notEnd = "[" + _.without(VERTICES, endName).join("") + "]";
var startAsFirst = startName + "G" + notStart;
var startAsLast = notStart + "G" + startName;
var endAsFirst = endName + "G" + notEnd;
var endAsLast = notEnd + "G" + endName;
var sharingStart = startAsFirst + "|" + startAsLast;
var sharingEnd = endAsFirst + "|" + endAsLast;
return "^\\s*" + sharingStart + "|" + sharingEnd + "\\s*$";
})()
rand(-20, 20)
8
6.5
[30, 45, 135, 210, 225, 315]
_.map(BASE_ANGLES, function(el) {
return ((el + TILT) % 360) * PI / 180;
})
_.map(ANGLES, function(el) {
return [LENGTH * cos(el), LENGTH * sin(el)];
})
_.map(ANGLES, function(el) {
return [INNER_LENGTH * cos(el), INNER_LENGTH * sin(el)];
})
init({
range: [[-10, 10], [-10, 10]],
scale: 20
});
var dotStyle = { r: 0.2, fill: BLUE, stroke: "none" };
for (var i = 0; i < 6; i++) {
line([0, 0], ENDPOINTS[i], { arrows: "->" });
circle(INNER_ENDPOINTS[i], dotStyle);
label(INNER_ENDPOINTS[i], VERTICES[i], "above");
}
var p1 = ENDPOINTS[START];
var p2 = ENDPOINTS[END];
var angle1 = atan2(p1[1], p1[0]) * 180 / PI;
var angle2 = atan2(p2[1], p2[0]) * 180 / PI;
graph.angle = arc([0, 0], LENGTH / 6, angle1, angle2, { stroke: RED });
graph.angle.hide();
label([0, 0], "G", "above");
circle([0, 0], dotStyle);
Name an angle vertical to \angle ANGLE_STARTGANGLE_END.
OPP_STARTGOPP_END
OPP_ENDGOPP_START
Vertical angles are formed at the intersection of two straight lines.
Name the angle opposite \red{\angle ANGLE_STARTGANGLE_END}.
The angle vertical to \red{\angle ANGLE_STARTGANGLE_END} is
\green{\angle OPP_STARTGOPP_END}.
var p1 = ENDPOINTS[(START + 3) % 6];
var p2 = ENDPOINTS[(END + 3) % 6];
var angle1 = atan2(p1[1], p1[0]) * 180 / PI;
var angle2 = atan2(p2[1], p2[0]) * 180 / PI;
arc([0, 0], LENGTH / 6, angle1, angle2, { stroke: GREEN });
Name an angle adjacent to \angle ANGLE_STARTGANGLE_END.
\angleADJ_ANGLES
Adjacent angles share a ray and have a common vertex, but do not overlap.
Name an angle that is next to \red{\angle ANGLE_STARTGANGLE_END}.
One angle adjacent to \red{\angle ANGLE_STARTGANGLE_END} is
\green{\angle ANGLE_STARTGVERTICES[(START + 5) % 6]}.
var p1 = ENDPOINTS[(START + 5) % 6];
var p2 = ENDPOINTS[START];
var angle1 = atan2(p1[1], p1[0]) * 180 / PI;
var angle2 = atan2(p2[1], p2[0]) * 180 / PI;
arc([0, 0], LENGTH / 6, angle1, angle2, { stroke: GREEN });
Name an angle that forms a linear pair with \angle ANGLE_STARTGANGLE_END.
ANGLE_STARTGOPP_END
ANGLE_ENDGOPP_START
OPP_ENDGANGLE_START
OPP_STARTGANGLE_END
A linear pair is two adjacent angles that form a straight angle.
Name an angle that shares a ray with \angle ANGLE_STARTGANGLE_END
and will add to 180^{\circ}
One angle that forms a linear pair with \red{\angle ANGLE_STARTGANGLE_END} is
\green{\angle ANGLE_ENDGOPP_START}.
var p1 = ENDPOINTS[END];
var p2 = ENDPOINTS[(START + 3) % 6];
var angle1 = atan2(p1[1], p1[0]) * 180 / PI;
var angle2 = atan2(p2[1], p2[0]) * 180 / PI;
arc([0, 0], LENGTH / 6, angle1, angle2, { stroke: GREEN });
First, identify \red{\angle ANGLE_STARTGANGLE_END}.
graph.angle.show();