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Geometry: Similar Triangles

Similar TrianglesGeometrySimilar TrianglesRatio, Proportion, and Geometric MeansProperties of Similar TrianglesThe Big Three When you have two congruent triangles, you have triangles that are…

Geometry: Size Matters, So Let's Measure

Size Matters, So Let's MeasureGeometryTwo's Company, Three's a TriangleA Formal IntroductionSize Matters, So Let's Measure When I draw a triangle, one of the first things I do after I admire the…

Geometry: Spheres

SpheresGeometryThe Next Dimension: Surfaces and SolidsPrismsPyramidsCylinders and ConesPolyhedraSpheresPlatonic Solids Thanks to early explorers, people have lost the fear of falling off the edge…

Geometry: Tangents

TangentsGeometryAnatomy of a CircleBasic TermsArcsCircumference and Area: Pi Anyone?TangentsFrom One Theorem Comes Many You might have observed that I occasionally go off on a tangent. In fact, I'…

Geometry: The AAS Theorem

The AAS TheoremGeometryCongruent TrianglesCPOCTACThe Big FiveThe SAS PostulateThe ASA PostulateThe AAS TheoremProving Segments and Angles Are CongruentProving Lines Are Parallel You've accepted…

Geometry: The ASA Postulate

The ASA PostulateGeometryCongruent TrianglesCPOCTACThe Big FiveThe SAS PostulateThe ASA PostulateThe AAS TheoremProving Segments and Angles Are CongruentProving Lines Are Parallel You can prove…

Geometry: The Big Five

The Big FiveGeometryCongruent TrianglesCPOCTACThe Big FiveThe SAS PostulateThe ASA PostulateThe AAS TheoremProving Segments and Angles Are CongruentProving Lines Are Parallel In order to make use…

Geometry: The Big Three

The Big ThreeGeometrySimilar TrianglesRatio, Proportion, and Geometric MeansProperties of Similar TrianglesThe Big Three In order to prove that two triangles are similar, you would need to verify…

Geometry: The Cosine Ratio

The Cosine RatioGeometryThe Unit Circle and TrigonometryThe Tangent RatioThe Sine RatioThe Cosine RatioAnd the RestHow Does This Relate to the Unit Circle? The story so far: Given one of the acute…