LineSegmentGraphTool.pg

## DESCRIPTION
## Shows a triangle tool within the GraphTool.
## ENDDESCRIPTION

## DBsubject(WeBWorK)
## DBchapter(Sample Problems)
## DBsection(Graph Tool)
## Date(02/25/2025)
## Institution(Missouri Western)
## Author(Glenn Rice)
## MO(1)
## KEYWORDS('graph tool', 'vectors')

#:% name = Line Segment Graph Tool
#:% type = Sample
#:% subject = [geometry]
#:% categories = [graph, graphtool]
#:% see_also = [VectorGraphTool.pg, TriangleGraphTool.pg, QuadrilateralGraphTool.pg]

#:% section = preamble
#: Load the PODLINK('parserGraphTool.pl') macro to be able to use the GraphTool.
DOCUMENT();

loadMacros('PGstandard.pl', 'PGML.pl', 'parserGraphTool.pl', 'PGcourse.pl');

#:% section = setup
#: The graph tool is created with the correct answer
#: `{ segment, solid, ($sx1, $sy1), ($sx2, $sy2) }`, with unique points
#: `($sx1, $sy1)` and `($sx2, $sy2)`. For a correct answer, the line segment
#: must have the given the endpoints and be solid.
#:
#: Mulitple line segments can be added to the graph tool, however, if a
#: triangle or quadrilateral is desired, see PROBLINK('TriangleGraphTool.pg')
#: and PROBLINK('QuadrilateralGraphTool.pg') for more appropriate tools.
$sx1 = random(-8, 8);
$sy1 = random(-8, 8);
do { $sx2 = random(-8, 8); $sy2 = random(-8, 8); }
    until $sx2 != $sx1 || $sy2 != $sy1;

$gt = GraphTool("{segment, solid, ($sx1, $sy1), ($sx2, $sy2)}",)
    ->with(availableTools => [ 'SegmentTool', 'FillTool', 'SolidDashTool' ]);

#:% section = statement
#: This asks the student to graph the line segment with the given endpoints.
#: The code `[_]{$gt}` inserts the graph tool.
BEGIN_PGML
Graph the line segment between the points [`([$sx1], [$sy1])`] and
[`([$sx2], [$sy2])`].

[_]{$gt}
END_PGML

#:% section = solution
#: To show the graph with alternate text we use the PGML image construct
#: `[!  !]{$gt}`, where the alternate text is placed within the `[! !]`.
BEGIN_PGML_SOLUTION
The correct answer is

[!A graph of the line segment from  ([$sx1], [$sy1]) to ([$sx2],[$sy2])!]{$gt}
END_PGML_SOLUTION

ENDDOCUMENT();