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:

Genetic Isolation

A situation where different populations of a species are unable to interbreed, often leading to the formation of new species.

Secondary Contact

Refers to the reintroduction or interaction of populations that were previously isolated, often used in the context of evolutionary biology.

Novel Trait

A newly evolved feature in an organism that significantly differs from functions or structures in ancestral species, often due to genetic mutations or environmental changes.

Clade

A group of biological taxa, such as species, that share a common ancestor in the tree of life.