Answer

A problem is not ready to be solved until the creator supplies it with an answer. The solver's answer is considered correct if it matches the creator's (see Overview for details).

Creator's Answer

To define the answer to the currently open problem, select Answer from the Edit menu. Select the answer type:

  • Number
  • Point Set
  • Fixed Plane, or
  • Condition Plane.

Open the Value pane.

Answer Types

Number

Enter a valid expression. Click OK. To minimize the input, have a notepad record selected ahead of time.

Point Set

The term point set refers to a single point, end points of a segment (2 points) or a path (2 or more points).

Enter one or more labels separated by commas. Click OK. To minimize the input, have the points selected ahead of time in the selected figure.

Fixed Plane

Reference the plane by 3 comma-separated labels. Click OK. To minimize the input, have some reference elements, such as 3 points, a point and a segment, or a face selected ahead of time in the selected figure.

Condition Plane

Unlike a fixed plane, that is a plane occupying a fixed position in space, a condition plane must satisfy a number of conditions. Generally, a condition plane is not unique.

There are three groups of conditions. Select a condition in at least one of the groups. Click OK.

The first group contains the following conditions:

  • Plane contains a given point
  • Plane contains a given line
  • Plane does not contain a given point
  • Plane does not contain a given line
  • Plane contains no vertex of the selected figure
  • Plane contains no edge of the selected figure
  • Plane is parallel to a given line
  • Plane is parallel to a given plane
  • Plane is perpendicular to a given line
  • Plane is perpendicular to a given plane

Reference the given point, line or plane, as required, by comma-separated labels. To minimize the input, have the elements selected ahead of time in the selected figure.

The second group consists of the following condition:

  • Plane divides the volume of selected figure in given ratio

Enter a valid expression. The expression will be interpreted as the numerator of a ratio whose denominator is 1. For example, a + 1 means that the volume should be cut in ratio a + 1 : 1. Select a notepad record ahead of time to have it copied automatically to the input box.

The third group refers to the way the plane cuts the figure. The section may be shaped like an:

  • Isoscelles triangle
  • Right triangle
  • Equilateral (regular) triangle
  • Parallelogram
  • Rhombus
  • Rectangle
  • Square

The answer definition can be undone.

Note that, although, as a rule, the problem creator enters the answer symbolically, Geometria stores all answers numerically. Once entered, the answer will be unaffected by all subsequent actions upon figures. Therefore it is a good idea to (re)enter the answer as a last action before saving the problem and making it available to solvers.

Solver's Answer

The solver concludes the solution by providing a correct answer. Note, again, that the solver's answer is considered correct if it matches the creator's.

Have the solution opened. Select Answer from the Edit menu. Enter a valid expression or comma-separated labels, as appropriate. To minimize the input, have a notepad record and/or some elements, such as points, segments or a face, selected ahead of time in the selected figure. Click OK.

An evaluation of the answer (corect or incorrect) will pop up.

If the answer is correct, it will conclude the solution log. No more actions will be possible unless the answer is undone. You may want to save the solution to a file. A saved solution can later be played back.

See also: