Draw

Draw Segment

To join two points with a segment, proceed, alternatively, as follows:

  • Select Draw Segment from the Draw menu, or
  • click the button on the tool bar, or
  • select the two points, right click and select Draw Segment from the popup menu.

The two points must belong to the same face.

If a dialog pops up, fill in the points and click OK.

This action can be undone.

See also:

Draw Perpendicular

To draw a perpendicular through a point to a segment, proceed, alternatively, as follows:

  • Select Draw Perpendicular from the Draw menu, or
  • click the button on the tool bar, or
  • select the point and the segment, right click and select Draw Perpendicular from the popup menu.

The point and the segment must belong to the same face. The point may or may not belong to the segment.

If a dialog pops up, fill in the points and click OK.

If the point and the segment belong to two different faces at the same time, a second dialog may pop up. Select a face from the list and click OK.

This action can be undone.

See also:

Divide Segment

To divide a segment in a given ratio, proceed, alternatively, as follows:

  • Select Divide Segment from the Draw menu, or
  • click the button on the tool bar, or
  • select the segment, right click and select Divide Segment from the popup menu.

A dialog will pop up. Fill in, if necessary, the points and valid expressions for the numerator and denominator of the ratio. Click OK.

The ratio is defined as AX : XB, where X is the division point, AB the segment. For example, if the ratio is 1 : 2, X will be twice closer to A than to B. If the ratio is 3 : 1, X will be three times closer to B than to A.

The midpoint divides the segment in ratio 1 : 1 and therefore can be drawn as shown above. However, a convenience Draw Midpoint action offers a shortcut.

This action can be undone.

See also:

Draw Midpoint

To draw the midpoint of a segment, proceed, alternatively, as follows:

  • Select Draw Midpoint from the Draw menu, or
  • select the segment, right click and select Draw Midpoint from the popup menu.

A dialog may pop up. Fill in, if necessary, the points. Click OK.

Note that drawing the midpoint is equivalent to dividing the segment in ratio 1 : 1.

This action can be undone.

See also:

Divide Angle

To divide an angle in a given ratio, proceed, alternatively, as follows:

  • Select Divide Angle from the Draw menu, or
  • click the button on the tool bar, or
  • select two segments that make the angle, right click and select Divide Angle from the popup menu.

The segments that make the angle must belong to the same face and not be collinear.

A dialog will pop up. Fill in, if necessary, the points and valid expressions for the numerator and denominator of the ratio. Click OK.

The ratio is defined as <AOX : <XOB, where OX is the division segment, <AOB the angle. For example, if the ratio is 1 : 2, OX will make with OB a twice greater angle than with OA. If the ratio is 3 : 1, OX will make with OA three times greater an angle than with OB.

The bisector divides the angle in ratio 1 : 1, therefore can be drawn as shown above. However, the convenience Draw Bisector action offers a shortcut.

This action can be undone.

See also:

Draw Bisector

To draw the bisector of an angle, proceed, alternatively, as follows:

  • Select Draw Bisector from the Draw menu, or
  • select two segments that make the angle, right click and select Draw Bisector from the popup menu.

The segments that make the angle must belong to the same face and not be collinear.

A dialog may pop up. Fill in, if necessary, the points. Click OK.

Note that drawing the bisector is equivalent to dividing the angle in ratio 1 : 1.

This action can be undone.

See also:

Intersect Lines

To draw the intersection point of the lines containing two given segments, proceed, alternatively, as follows:

  • Select Intersect Lines from the Draw menu, or
  • click the button on the tool bar, or
  • select the segments, right click and select Intersect Lines from the popup menu.

Both segments, as well as the intersection point of their lines, must belong to the same face.

A dialog may pop up. Fill in, if necessary, the points. Click OK.

This action can be undone.

See also:

Lay Distance

To draw a point on a given segment at a given distance from a given point, proceed, alternatively, as follows:

  • Select Lay Distance from the Draw menu, or
  • click the button on the tool bar, or
  • select the point and the segment, right click and select Lay Distance from the popup menu.

The point and the segment must belong to the same face. The point may or may not belong to the segment.

A dialog will pop up. Fill in, if necessary, the points and a valid expression for the distance. Click OK. Select a notepad record ahead of time to have it copied automatically to the distance input box.

This action may result in the construction of one or two distinct points.

This action can be undone.

See also:

Lay Angle

To draw a segment from the end point of another segment so that the two segments make a given angle, proceed, alternatively, as follows:

  • Select Lay Angle from the Draw menu, or
  • click the button on the tool bar, or
  • select the segment and its end point, right click and select Lay Angle from the popup menu.

A dialog will pop up. Fill in, if necessary, the points and a valid expression for the angle. Click OK. Select a notepad record ahead of time to have it copied automatically to the angle input box.

The angle must be greater than 0 and less than 180 degrees and be entered in radians, as opposed to degrees. For example, to lay an angle of 60 degrees, enter PI/3.

If the segment belongs to two different faces at the same time, a second dialog may pop up. Select a face from the list and click OK.

This action may result in the construction of one or two distinct segments.

This action can be undone.

See also:

Rename Point

The problem creator can rename a point in a figure by selecting Rename Point from the Draw menu.

A dialog will pop up. Enter the old and the new labels for the point in question and click OK. A valid label consists of a capital letter, which may be followed by one or more digits.

Select a point ahead of time to have it automatically copied into the input box.

Renaming a point may result in some of the notepad records being updated accordingly.

This action can be undone.

See also:

Erase Elements

Erase Segment

To erase a segment or its part, select Erase Segment from the Draw menu. The segment cannot belong to an edge.

If a dialog pops up, fill in the points and click OK.

Note that a whole segment can be more conveniently erased by selecting it and performing the Erase Selection action.

Erasing a segment that has been referenced in measurements will result in some of the variables being pinned.

This action can be undone.

Erase Selection

To erase one or more elements, such as points and/or segments, select them and proceed, alternatively, as follows:

  • Select Erase Selection from the Draw menu, or
  • click the button on the tool bar.

Vertices and segments that belong to edges will not be erased.

To erase all points and segments in a figure (with the exception of vertices and edges), select them all first.

To erase only a part of a drawn segment, use the Erase Segment action.

Erasing elements that have been referenced in measurements will result in some of the variables being pinned.

This action can be undone.

See also: