These example sentences are selected automatically from various online news sources to reflect current usage of the word 'geometry.
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See the full definition for geometry in the English Language Learners Dictionary. Rhyming Dictionary: Words that rhyme with geometry.
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Triangle similarity review Introduction to triangle similarity. In ancient Greece the Pythagoreans considered the role of numbers in geometry. In topology , a manifold is a topological space where every point has a neighborhood that is homeomorphic to Euclidean space. Mathematics and architecture are related, since, as with other arts, architects use mathematics for several reasons. Diameter Circumference Area.
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Analytic geometry connects algebra and geometry, resulting in powerful methods of analysis and problem solving. Just as the number line associates numbers with locations in one dimension, a pair of perpendicular axes associates pairs of numbers with locations in two dimensions.
This correspondence between numerical coordinates and geometric points allows methods from algebra to be applied to geometry and vice versa. The solution set of an equation becomes a geometric curve, making visualization a tool for doing and understanding algebra.
Geometric transformations of the graphs of equations correspond to algebraic changes in their equations. Dynamic geometry environments provide students with experimental and modeling tools that allow them to investigate geometric phenomena in much the same way as computer algebra systems allow them to experiment with algebraic phenomena.
Learn high school geometry for free—transformations, congruence, similarity, trigonometry, analytic geometry, and more. Full curriculum of exercises and videos. Learn geometry for free—angles, shapes, transformations, proofs, and more. Full curriculum of exercises and videos.
The correspondence between numerical coordinates and geometric points allows methods from algebra to be applied to geometry and vice versa. Geometric shapes can be described by equations, making algebraic manipulation into a tool for geometric understanding, modeling, and proof. Connections to Equations The correspondence between numerical coordinates and geometric points allows methods from algebra to be applied to geometry and vice versa. Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others. Model with mathematics.