Look at the following figures. Describe any translations, reflections, rotations, and glide reflections that will move part of the figure on top of another part of the figure. For translations, supply a vector or other means of communicating the translation; for reflections, describe the line(s) of reflection; for rotations, describe the angle of rotation. (Select all that apply.) (a) Baby Blocks (b) If we see the figure as composed of rhombuses, each rhombus can be mapped onto a neighboring rhombus by a reflection across a vertical line (ignoring color). If we see the figure as composed of hexagons, each hexagon can be mapped onto a neighboring hexagon by a vertical translation (ignoring color). If we see the figure as composed of hexagons, each hexagon can be mapped onto a neighboring hexagon by a 120-degree rotation (ignoring color). If we see the figure as composed of rhombuses, each rhombus can be mapped onto a neighboring rhombus by a 60-degree rotation (ignoring color). If we see the figure as composed of rhombuses, each rhombus can be mapped onto a neighboring rhombus by a 90-degree rotation (ignoring color). Broken Windows The first row can be reflected across a horizontal line to obtain the second row. The first row can be translated onto the second row. The first row can be rotated 45 degrees counterclockwise about the center to obtain the first column. The first row can be translated onto the bottom row. The first row can be rotated 90 degrees counterclockwise about the center to obtain the first column.
Look at the following figures. Describe any translations, reflections, rotations, and glide reflections that will move part of the figure on top of another part of the figure. For translations, supply a vector or other means of communicating the translation; for reflections, describe the line(s) of reflection; for rotations, describe the angle of rotation. (Select all that apply.) (a) Baby Blocks (b) If we see the figure as composed of rhombuses, each rhombus can be mapped onto a neighboring rhombus by a reflection across a vertical line (ignoring color). If we see the figure as composed of hexagons, each hexagon can be mapped onto a neighboring hexagon by a vertical translation (ignoring color). If we see the figure as composed of hexagons, each hexagon can be mapped onto a neighboring hexagon by a 120-degree rotation (ignoring color). If we see the figure as composed of rhombuses, each rhombus can be mapped onto a neighboring rhombus by a 60-degree rotation (ignoring color). If we see the figure as composed of rhombuses, each rhombus can be mapped onto a neighboring rhombus by a 90-degree rotation (ignoring color). Broken Windows The first row can be reflected across a horizontal line to obtain the second row. The first row can be translated onto the second row. The first row can be rotated 45 degrees counterclockwise about the center to obtain the first column. The first row can be translated onto the bottom row. The first row can be rotated 90 degrees counterclockwise about the center to obtain the first column.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Look at the following figures. Describe any translations, reflections, rotations, and glide reflections that will move part of the figure on top of another part of the figure. For translations, supply a vector
or other means of communicating the translation; for reflections, describe the line(s) of reflection; for rotations, describe the angle of rotation. (Select all that apply.)
(a)
(b)
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ооооо
Baby Blocks
If we see the figure as composed of rhombuses, each rhombus can be mapped onto a neighboring rhombus by a reflection across a vertical line (ignoring color).
If we see the figure as composed of hexagons, each hexagon can be mapped onto a neighboring hexagon by a vertical translation (ignoring color).
If we see the figure as composed of hexagons, each hexagon can be mapped onto a neighboring hexagon by a 120-degree rotation (ignoring color).
If we see the figure as composed of rhombuses, each rhombus can be mapped onto a neighboring rhombus by a 60-degree rotation (ignoring color).
If we see the figure as composed of rhombuses, each rhombus can be mapped onto a neighboring rhombus by a 90-degree rotation (ignoring color).
Broken Windows
The first row can be reflected across a horizontal line to obtain the second row.
The first row can be translated onto the second row.
The first row can be rotated 45 degrees counterclockwise about the center to obtain the first column.
The first row can be translated onto the bottom row.
The first row can be rotated 90 degrees counterclockwise about the center to obtain the first column.
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