Transformation properties and proofs
8 videos
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7
Geometry - Transformation Properties and Proofs: What You Need to Know
Learn about geometric transformations and which properties stay the same. Covers rigid transformations (translations, rotations, reflections) and dilations.
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Geometry - What Do Rigid Transformations Preserve?
Learn about rigid transformations (translations, rotations, reflections) and how they preserve shape, size, angles, and area while only changing position.
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Geometry - Finding Measures After a Rigid Transformation
Learn how rigid transformations (translations, rotations, reflections) preserve side lengths, angles, perimeter, and area through a triangle reflection example.
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Geometry - What Do Dilations Preserve (and What Don't They)?
Learn how dilations transform shapes: angles stay the same, but side lengths multiply by the scale factor. Understand how perimeter and area change with dilations.
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Geometry - Sequences of Transformations: What's Preserved?
Learn how sequences of transformations affect shapes. Discover which transformations preserve angles, lengths, or both, and how one non-preserving step affects the whole sequence.
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Geometry - How to Identify a Transformation from Its Description
Learn to identify geometric transformations: translations slide points equally, rotations spin around a center, and reflections flip across a mirror line.
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Geometry - Reflective and Rotational Symmetry
Learn about reflective and rotational symmetry in geometry, including lines of symmetry and calculating rotation angles using the formula 360/n.
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Geometry - Proving Theorems with Transformations
Learn how to prove corresponding angles are equal using translation. This video demonstrates a transformation-based proof for parallel lines cut by a transversal.