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Foundations of Geometry

Geometry is an exciting part of mathematics, where we learn to explore shapes and objects, and the ways in which these are related. In this concept, we classify geometric figures such as triangles and polygons into their various types, and learn about their properties. We also explore symmetry and transformations of figures.
The concept is broken into smaller topics, which makes it easier and much more fun for students. The topics are listed below:-
An Introduction to Transformations
In this topic, we learn to identify translations, reflections, and rotations, and use them to transform geometric shapes.
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Angle Pairs and their Relationships
This topic covers the various angle pairs and their relationships. In this topic, we learn what are complementary angles, supplementary angles, adjacent angles, congruent angles, corresponding angles, linear pairs, and vertical angles.
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Angles and their Classification
This topic deals with naming and identification of angles, as well as their classification into various types including acute, obtuse, straight and right angles.
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Classifying Lines
In this topic, we will learn how to classify lines as oblique, parallel, perpendicular, and skew.
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Classifying Polygons
In this topic, we learn to classify polygons, to name regular polygons, and to find the angle measures of regular polygons.
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Classifying Quadrilaterals
This topic covers classification of quadrilaterals by the characteristics of their sides and angles.
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Congruent Figures
In this topic, we learn to identify congruent figures and to use congruence to solve problems.
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Symmetry
In this topic, we learn to identify line symmetry and rotational symmetry.
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Triangle Classification
In this topic, we cover the classification of triangles based on their angles and the lengths of their sides.
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