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  • An Invitation to Fractal Geometry : Fractal Dimensions, Self-Similarity and Fractal Curves
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  • Local Voices, Local Choices : The Tacare Approach to Community-Led Conservation
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    Discover the stories behind Jane Goodall’s visionary approach to community-led conservation. You know of Jane Goodall’s work with wild chimpanzees and her lifelong career advocating for environmental justice.But just as transformative is her work empowering local communities that live on the edge of human settlement to act to protect their natural resources—or to risk losing them forever. Local Voices, Local Choices: The Tacare Approach to Community-Led Conservation is the story of the Jane Goodall Institute’s holistic approach to conservation, which puts the local people in charge of preserving their surrounding ecosystems.Rather than conservationists leading the effort and imposing their solutions, local communities that live in the affected regions make their own decisions.Working with science and technology and with the support of conservationists, these communities grow to understand their human impact on the environment.By choosing to adopt sustainable livelihoods, they decide their own path into the future, finding ways to balance their environmental impact with their communities’ needs. Story by story, Local Voices, Local Choices brings readers into the diverse perspectives behind this approach to community-driven conservation—not only those of JGI staff and program partners but also, and equally, those of the local people who lead these initiatives. Read about:The origins of the Tacare approach, originally designed as a 1994 reforestation project with an abbreviation pronounced “ta-CAR-reh”A retired village member keeping the knowledge of medicinal plants alive in his communitySpiritual and cultural story-holders who are vital to the recording and preservation of their traditional ecological knowledgeLocal people participating as forest monitors, village health workers, beekeepers, small-business owners, and educators of the next generationFormer poachers turned advocates for sustainable land managementWritten for conservationists, fans of Jane Goodall, and readers interested in environmental issues, Local Voices, Local Choices is a vibrant expression of Jane Goodall’s vision and her hope that the Tacare approach will be understood and adopted wherever there is a need for genuine community-driven conservation. Local voices matter, and their choices can make all the difference for generations to come.

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  • What are similarity ratios?

    Similarity ratios are ratios that compare the corresponding sides of two similar figures. They help us understand the relationship between the sides of similar shapes. The ratio of corresponding sides in similar figures is always the same, which means that if you know the ratio of one pair of sides, you can use it to find the ratio of other pairs of sides. Similarity ratios are important in geometry and are used to solve problems involving similar figures.

  • What is the difference between similarity theorem 1 and similarity theorem 2?

    Similarity theorem 1, also known as the Angle-Angle (AA) similarity theorem, states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. On the other hand, similarity theorem 2, also known as the Side-Angle-Side (SAS) similarity theorem, states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar. The main difference between the two theorems is the criteria for establishing similarity - AA theorem focuses on angle congruence, while SAS theorem focuses on both side proportionality and angle congruence.

  • How can one calculate the similarity factor to determine the similarity of triangles?

    The similarity factor can be calculated by comparing the corresponding sides of two triangles. To do this, one can divide the length of one side of the first triangle by the length of the corresponding side of the second triangle. This process is repeated for all three pairs of corresponding sides. If the ratios of the corresponding sides are equal, then the triangles are similar, and the similarity factor will be 1. If the ratios are not equal, the similarity factor will be the ratio of the two triangles' areas.

  • How can the similarity factor for determining the similarity of triangles be calculated?

    The similarity factor for determining the similarity of triangles can be calculated by comparing the corresponding sides of the two triangles. If the ratio of the lengths of the corresponding sides of the two triangles is the same, then the triangles are similar. This ratio can be calculated by dividing the length of one side of a triangle by the length of the corresponding side of the other triangle. If all three ratios of corresponding sides are equal, then the triangles are similar. This is known as the similarity factor and is used to determine the similarity of triangles.

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  • Do you see the similarity?

    Yes, I see the similarity between the two concepts. Both share common characteristics and features that make them comparable. The similarities can be observed in their structure, function, and behavior. These similarities help in understanding and drawing parallels between the two concepts.

  • 'How do you prove similarity?'

    Similarity between two objects can be proven using various methods. One common method is to show that the corresponding angles of the two objects are congruent, and that the corresponding sides are in proportion to each other. Another method is to use transformations such as dilation, where one object can be scaled up or down to match the other object. Additionally, if the ratio of the lengths of corresponding sides is equal, then the two objects are similar. These methods can be used to prove similarity in geometric figures such as triangles or other polygons.

  • What is similarity in mathematics?

    In mathematics, similarity refers to the relationship between two objects or shapes that have the same shape but are not necessarily the same size. This means that the objects are proportional to each other, with corresponding angles being equal and corresponding sides being in the same ratio. Similarity is often used in geometry to compare and analyze shapes, allowing for the transfer of properties and measurements from one shape to another.

  • What is the similarity ratio?

    The similarity ratio is a comparison of the corresponding sides of two similar figures. It is used to determine how the dimensions of one figure compare to the dimensions of another figure when they are similar. The ratio is calculated by dividing the length of a side of one figure by the length of the corresponding side of the other figure. This ratio remains constant for all pairs of corresponding sides in similar figures.

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