Copying the Cats

Can you copy the cats?
OBJECTIVE: To become familiar with some geometric shapes and develop problem-solving skills
[br]You may have seen or heard about [color=#0000ff][i]tangrams[/i][/color] before. Well, a [i][color=#0000ff]tangram[/color][/i] is traditional Chinese puzzle made of a large [i][color=#0000ff]square[/color][/i] divided into seven pieces—one [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAANCAYAAABLjFUnAAAAdUlEQVQ4EaWTsQ2AMAwEr6BgIpgJZoJtKCgYCpkiKLrqwVIUR/Gd9IXhrQE4gevjKbbVBOztlTViF2DNHG1a7AbM7TtrOnYEDqDutMQqc2AUq8yBTGyXORDVaMcqcyATq8yBTKwyBzKxXeZAVKNi/+5j7fRTNw26K58nIEKwAAAAAElFTkSuQmCC[/img] [color=#0000ff][i]parallelogram[/i][/color] (also called [i][color=#0000ff]rhomboid[/color][/i]), one [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAANCAYAAABy6+R8AAAAIklEQVQoFWNgYGA4QwYGa2IgAYAsGdUECwNwaIyGHhlpDwBFbiZB80szSgAAAABJRU5ErkJggg==[/img] [color=#0000ff][i]square[/i][/color] and [color=#0000ff][i]five [/i][/color][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAANCAYAAABy6+R8AAAASUlEQVQoFZXLuwkAIBAE0WnDOqzfzNCiZANB/N4OTPgAKpAwa0ABsuOEBCwopCw4kAVnFIYrCsET+sIbesIXusIfOsII2qCQc+0qZSBE6sCU5gAAAABJRU5ErkJggg==[/img] [color=#0000ff][i]isosceles right triangles[/i][/color]—that can be arranged to match particular designs.[br][br][img]data:image/png;base64,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[/img][br][br]FIGURE 1: A Square Tangram[br][br]Use all geometric shapes below in order to recreate each of the cats shown. You can [color=#0000ff]translate[/color] the shapes by dragging the [color=#0000ff]blue[/color] points. You can [color=#38761d]rotate[/color] the shapes by dragging the [color=#38761d]green[/color] points with the mouse. (Ipwesto gamit ang asul na tuldok. Ikutin gamit ang berdeng tuldok.)
TANGRAM CATS
[color=#0000ff]QUESTION: [/color]How many cats were you able to copy?
TODAY you took a break from the usual GeoGebra tasks of exploring the GeoGebra Classic app.
We hope you ENJOYED solving the puzzles, which should really serve as your mental calisthenics.
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Information: Copying the Cats