Outline
Planimetric Warm-ups_teacher
Solving problems in geometry, whether planar or spatial, is for students generally more difficult than solving problems in other branches of mathematics, e.g. in arithmetic or in algebra. Therefore, it is necessary to consider how students’ geometric thinking and spatial imagination can be practised and developed. One of the options is to provide students with appropriate examples that would practise and develop their geometric thinking and spatial imagination in a relatively short time. Such examples we can denote "warm-ups". This GeoGebra book contains the solutions to the problems mentioned in the GeoGebra book named "Planimetric Warm-ups_students" and located at the weblink https://www.geogebra.org/m/jdgjeqwf.
Table of Contents
Axioms of congruence and optical illusions
Axioms of ordering
Drawing polyline by one stroke
Number of planimetric geometric objects
Elementary planimetric objects
Dividing geometric objects into congruent parts
- Division of the right-angle trapezoid
- Finding congruent shapes
- Division of the right-angle shape
- Division of the right-angle nonconvex hexagon
- Division of the right-angle nonconvex octagon
- Division of the square
- Division of the square into congruent shapes
- Division of the square garden into congruent seedbeds
- Division of the stars on the sky
- Division of the fish in the aquarium
- Division of the square garden by square fences
Assembling geometric objects