Similarity and transformations
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Dilations
Dilate a figure and investigate its resized image. See how scaling a figure affects the coordinates of its vertices, both in (x, y) form … and in matrix form.
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Reflections
Reshape and resize a figure and examine how its reflection changes in response. Move the line of reflection and explore how the reflection … is translated.
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Rotations, Reflections and Translations
Rotate, reflect, and translate a figure in the plane. Compare the translated figure to the original figure.
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Similar Figures - Activity A
Vary the scale factor and rotation of an image and compare it to the pre-image. Determine how the angle measures and side lengths of the … two figures are related.
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Similar Figures - Activity B
Vary the scale factor and rotation of an image and compare it to the pre‑image. Determine how the angle measures and side lengths … of the two figures are related.
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Similar Polygons
Manipulate two similar figures and vary the scale factor to see what changes are possible under similarity.
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Similarity in Right Triangles
Divide a right triangle at the altitude to the hypotenuse to get two similar right triangles. Explore the relationship between the … two triangles.
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Translations
Translate a figure horizontally and vertically in the plane and examine the matrix representation of the translation.
