GeoGebra Worksheet: QUADRILATERALS

1. You may need to complete this worksheet at several different sittings;
   be sure to SAVE your GeoGebra file at each stage (FILE-SAVE)
   and then re-open it (FILE-OPEN) as needed.
   
   
2. When you are asked to construct (say) an arbitrary rectangle, this means the following:
   -- no matter how you move points/segments, the object remains a rectangle
   -- you can obtain any desired rectangle by appropriately moving points/segments
   
   
3. Select OPTIONS-LABELING-NO NEW OBJECTS to turn off automatic labeling.
   
   
4. Construct an arbitrary QUADRILATERAL, as follows:
   -- With the POLYGON tool, create a quadrilateral.
   (Hint: lay out the points in a counter-clockwise direction; otherwise, you might not immediately get the angles you want in the next step!)
   -- With the ANGLE tool, click on the polygon to obtain all the interior angles.
   -- In the INPUT line, find the sum of these interior angles.
   -- Use dynamic text to get the result shown below, with exactly the same formatting: -- Make sure that the 360° is not static text! This sum must be computed by GeoGebra.
   
   
5. Construct an arbitrary RECTANGLE:
   -- There are many ways to do this; one approach is given here.
   -- With the SEGMENT tool, construct your first side.
   -- With the ANGLE WITH GIVEN SIZE tool, create a 90° angle.
   -- Using the point at 90° that was just created, draw a line that is perpendicular to your first side, as shown below.
   -- Put a point on this line, by clicking on it with the POINT tool active.
   -- This point can move freely along the line, but is not allowed to move off the line.
   -- Using the free point on the line, construct the second side of the rectangle with the SEGMENT tool.
   -- Be sure to hide all auxiliary objects.
   -- Finish the rectangle; the PARALLEL LINE and INTERSECTION tools may be helpful!
   -- Label all the angles, and construct the dynamic text as shown below:
   
   
   
6. Construct an arbitrary RHOMBUS:
   -- Use the SLIDER tool to create a slider named "side" with values from 0 to 10 and increment  0.1 .
   -- Use the SEGMENT WITH GIVEN LENGTH FROM POINT tool to create two sides of the rhombus, each having length "side," as shown below:
   -- Use the CIRCLE WITH CENTER AND RADIUS tool to construct two circles, as shown below, each with radius "side".
   -- Construct the intersection point of these two circles.
   -- Finish and label the construction as shown below:
   
   
   
7. Construct and label an arbitrary SQUARE, as indicated below:
   
   
   
8. Construct and label an arbitrary PARALLELOGRAM, as indicated below:
   -- Hint: Use the "Slope[]" command in the COMMAND MENU.
   
   
9. Construct and label an arbitrary TRAPEZOID, as indicated below:
   
   
   
10. Label each of your figures as shown below.
    Notice that ALL of these constructions must be neatly arranged in a SINGLE GeoGebra file.
    
    
    
11. SAVE your GeoGebra file with YOUR NAME, like this:
    Bart_Simpson_01.ggb -- Be sure to put the ".ggb" extension.
    -- Use an underscore between your first and last name and then an underscore and 01.
    -- EMAIL this file to me (as an attachment).
    
    
12. This assignment is worth 50 points.
    -- It is due on WEDNESDAY, SEPTEMBER 8, by 12PM.
    -- It will be graded as follows:
    -- arbitrary quadrilateral (7 pts)
    -- arbitrary rectangle (7 pts)
    -- arbitrary rhombus (7 pts)
    -- arbitrary square (7 pts)
    -- arbitrary parallelogram (7 pts)
    -- arbitrary trapezoid (7 pts)
    -- dynamic text, labeling (8 pts)