A Theorem from Elementary Geometry States: If the Diagonals of a Quadrilateral

question 76

Essay

A theorem from elementary geometry states: If the diagonals of a quadrilateral have equal length and bisect each other, then the quadrilateral is a rectangle. Verify the points A(-1, 4), B(5, 1), C(3, -3), and D(-3, 0) are the vertices of a rectangle.

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Definitions:

Predators

Animals that hunt, kill, and consume other organisms for food.

Invasive Species

Non-native organisms that spread rapidly in new environments, often causing harm to native species, human health, and economies.

Generalists

Organisms that have a broad niche and can thrive in a wide variety of environmental conditions and can make use of a variety of different resources.

Species Diversity

The variety and abundance of different species within a given area, contributing to the complexity and resilience of ecosystems.