PERIMETER PUZZLES
Introduction and Background
Read the conditions for each polygon and then construct and label polygons that match the conditions.
Use the POLYGON tool to construct the shapes.
Use the DISTANCE OR LENGTH tool to have GeoGebra compute and label the perimeter of your polygons. Just select this tool and click anywhere inside the polygon. You can use this tool to label the length of sides of polygons by carefully clicking on the side you want measured and labeled.
Use the MOVE (pointer) tool to drag the corner points of your polygon to change its size or shape. This way you can experiment in trying to find a polygon that fits the conditions.
Construct in Box A
Condition 1: a quadrilateral that is not a rectangle
Condition 2: perimeter equals 20 units
Construct in Box B
Condition 1: a quadrilateral
Condition 2: perimeter equals 25 units
Condition 3: the base equals 10 units
Construct in Box C
Condition 1: a triangle
Condition 2: perimeter equals 20 units
Condition 3: two sides are equal in length (use the grid to measure this)
Construct in Box D
Condition 1: a pentagon
Condition 2: perimeter equals 25 units
Print
When all four polygons are constructed and labeled, print the GeoGebra page.