Geometry Problem 599: Regular Hexagon, Square, Midpoint, Angle, Degrees

Geometry Problem
Click the figure below to see the complete problem 599.

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Problem 563: Regular Pentagon, Center, Rectangle, Diagonals, Angle

Geometry Problem
Click the figure below to see the complete problem 563.


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Geometry Problems 421 -430

Ten Geometry Problems
Click the figure below to see problems 421-430 about: Right Triangle, Regular Pentagon, Cevian, Angles, Measurement, 30 Degrees, Congruence, Circumcircle, Circumcenter, Altitude, Circumradius, Quadrant, Area.

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Level: High School, College geometry

Geometry Problems 261-270: Regular Polygon, Pentagon, Hexagon, Circle, Tangent, Similarity, Triangle, Hypotenuse, Catheti, Geometric Mean, Altitude,

Ten Geometry Problems
Click the figure below to see problems 261-270 about Regular Polygon, Pentagon, Hexagon, Circle, Distance, Triangle, Hypotenuse, Catheti, Similarity, Geometric Mean, Altitude, Perpendicular, Projection, Tangent, Fractional Exponent, Common External Tangent.

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Level: High School, SAT Prep, College geometry

Problem 533: Euclid's Elements Book XIII, Proposition 10

Geometry Problem
Click the figure below to see the complete problem 533 about the sides of the regular pentagon, regular hexagon and regular decagon inscribed in the same circle.


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Complete Problem 533

Level: High School, SAT Prep, College geometry

Geometry Problems 221-230

Ten Geometry Problems
Click the figure below to see problems 221-230 about Isosceles, Equilateral triangle, Trapezoid, Regular Polygon, Viviani's theorem, Altitude, Distances, Apothem, Centroid, Midpoint, Perpendicular, Transversal.

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Level: High School, SAT Prep, College geometry

Problem 430: Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas

Proposed Problem
Click the figure below to see the complete problem 430 about Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas.


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Complete Problem 430

Level: High School, SAT Prep, College geometry

Problem 429: Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement

Proposed Problem
Click the figure below to see the complete problem 429 about Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement.


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Complete Problem 429

Level: High School, SAT Prep, College geometry

Problem 410: Two Regular Pentagons, Angle

Proposed Problem
Click the figure below to see the complete problem 410 about Two Regular Pentagons, Angle.


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Complete Problem 410
Level: High School, SAT Prep, College geometry

Problem 287: Regular Octagon, Diagonals

Proposed Problem



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Complete Problem 287: Regular Octagon, Diagonals
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Heptagons, Theorems and Problems

Index




Read more at:
gogeometry.com/geometry/heptagon_heptagram_seven_index.htm

Level: High School, SAT Prep, College geometry

Heptagon and Heptagrams / Septegrams

There are two regular heptagrams, labeled by Schlafli symbols as {7/2} and {7/3}, with the second number representing the vertex interval step from a regular heptagram, {7/1}.



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gogeometry.com/geometry/heptagon_heptagram_seven.htm

Level: High School, SAT Prep, College geometry

Problem 262: Regular Hexagon inscribed in a circle, sum of distances

Proposed Problem


See complete Problem 262 at:
gogeometry.com/problem/p262_regular_hexagon_inscribed_circle_distance.htm

Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Problem 261: Regular Pentagon inscribed in a circle, sum of distances

Proposed Problem


See complete Problem 261 at:
gogeometry.com/problem/p261_regular_pentagon_inscribed_circle_distance.htm

Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Elearn Geometry Problem 225: Viviani Theorem Extension

Regular Polygon, Apothem, Distance
In a regular n-sided polygon, the sum of the perpendicular distances from an interior point to the n sides being n times the apothem of the polygon.



See complete Problem 225 at:
gogeometry.com/problem/p225_viviani_theorem_regular_polygon.htm

Level: High School, SAT Prep, College geometry

Kurschak's Tile and Theorem.

Jozsef Kurschak (Hungary, 1864-1933) An elegant and a purely geometric way of finding the area of a regular dodecagon.


Continue reading at:
gogeometry.com/kurschak1.html

Elearn Geometry Problem 63

See complete Problem 63
Regular Heptagon, side and diagonals. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.