Geometry Problems 541-550

Ten Geometry Problems
Click the figure below to see problems about: Right Triangle, Altitude, Angle Bisector, Congruence, Median, Area, Trisector, 60 Degrees, Equilateral, Parallel, Transversal, Circumcircle, Concyclic, Similarity.

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Level: High School, College geometry

Geometry Problems 551-560

Ten Geometry Problems
Click the figure below to see problems : Parallel lines, Transversal, Angle Sums, Quadrilateral, Concave, Diagonal, Auxiliary lines, Midpoint, Varignon, Trisection, Wittenbauer, Parallelogram, Area, Cevian, Incenter, Incircle, Perpendicular.

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Level: High School, College geometry

Problem 558: Quadrilateral, Trisection, Sides, Wittenbauer Parallelogram, Area

Geometry Problem
Click the figure below to see the complete problem 558.


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Level: High School, SAT Prep, College geometry

Geometry Problems 411-420

Ten Geometry Problems
Click the figure below to see problems 411-420 about: Triangle, Median, Angles, Cevian, Congruence, Cyclic quadrilateral, Orthocenter, Parallelogram, Concurrency, Altitude, Trisector, Area, Tangent, Circle.

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Level: High School, College geometry

Geometry Problems 391 - 400

Ten Geometry Problems
Click the figure below to see problems 391-400 about: Triangle, Parallelogram, Parallel lines, Collinear points, Concurrent, Orthocenter, Circumcircle, Congruence, Square, 15 Degree, Equilateral, Trisector.

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Level: High School, College geometry

Problem 546: Triangle, Angle Trisectors, 60 Degrees, Equilateral triangle

Geometry Problem
Click the figure below to see the complete problem 546 about Triangle, Angle Trisectors, 60 Degrees, Equilateral triangle.


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Geometry Problems: 181-190 Triangle, Trapezoid, Square, Circles, 90 Degrees, Hypotenuse

Ten Geometry Problems
Click the figure below to see problems 181-190 about Right Triangle, Trapezoid, Square, Intersecting Circles, Circular Sector, 90 Degrees, Angles, Trisection, Hypotenuse, Distance, Incenter, Altitude, Diagonal, 45 Degrees, Tangent, Chord, Perpendicular.

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Problems 181-190

Level: High School, SAT Prep, College geometry

Geometry Problems 171-180: Area, Triangle, Quadrilateral, Circle, Tangent, Rhombus

Ten Geometry Problems
Click the figure below to see problems 171-180 about Area, Triangle, Quadrilateral, Circle, Parallelogram, Trapezoid, Square, Rhombus, Diagonal, Angle, Tangent, Trisection.

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Problems 171-180

Level: High School, SAT Prep, College geometry

Geometry Problems 151-160: Triangle, Quadrilateral, Area, Circle, Similarity, Center

Geometry Problem
Click the figure below to see problems 151-160 about Triangle, Quadrilateral, Area, Trisection, Circle, Proportion, Diagonal, Chord,Inradius, Circumradius, Exradius, Euler, distance, Incenter, Circumcenter, Excenter, Incircle, Circumcircle.

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Problems 151-160

Level: High School, SAT Prep, College geometry

Geometry Problems 141-150: Triangle, Quadrilateral, Parallelogram, Similarity, Area

Geometry Problem
Click the figure below to see problems 141-150 about Triangle, Quadrilateral, Parallelogram, Incircle, Incenter, Tangent, Parallel, Perimeter, Area, Inradius, Circumradius, Midpoint, Varignon, Trisection.

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Problems 141-150

Level: High School, SAT Prep, College geometry

Geometry Problems 121-130: Triangle, Area, Similarity, Trisection, Hexagon, Star, Incenter

Geometry Problem
Click the figure below to see problems 121-130 about Triangle, Area, Similarity, Trisection, Hexagon, Star, Incenter, Centroid, Parallel, Proportions, Angle Bisector, Ratio.

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Problems 121-130

Level: High School, SAT Prep, College geometry

Geometry Problems 61-70: Triangle, Quadrilateral, Circle, Cyclic, Similarity

Geometry Problem
Click the figure below to see problems 61-70 about Triangle, Trisection, Transversal, Square, Heptagon, Diagonal, Circle, Incircle, Midpoint, Right triangle, Tangent, Geometric mean, Cyclic quadrilateral, Area, Angle, Similarity.


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Problems 61-70

Level: High School, SAT Prep, College geometry

Marion Walter's Theorem Index

Marion Walter's Theorem, Triangle, Trisection of Sides, Hexagon, Areas, and Related Topics

Click the figure below to see the index.



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Marion Walter's Theorem Index

Problem 416: Triangle, Cevians, Trisectors, Area

Proposed Problem
Click the figure below to see the complete problem 416 about Triangle, Cevians, Trisectors, Area.


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Complete Problem 416
Level: High School, SAT Prep, College geometry

Problem 396: Square, Angle Trisectors, Congruence, Area

Proposed Problem
Click the figure below to see the complete problem 396 about Square, Angle Trisectors, Congruence, Area.


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Complete Problem 396

Level: High School, SAT Prep, College geometry

Varignon and Wittenbauer parallelograms, Areas

Quadrilateral midpoints and trisection points of sides

Click the figure below to see Varignon and Wittenbauer parallelograms.


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Varignon and Wittenbauer parallelograms
Geometry Index

Level: High School, SAT Prep, College geometry

Archimedes' Book of Lemmas, Proposition #8

Angle Trisection. Neusis Construction
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #8 (high school level) and lift up your geometry skills.



Continue reading at:
gogeometry.com/ArchBooLem08.htm

Morley's Theorem Puzzle

Puzzle: 22 pieces of polygons.
Frank Morley was a member of Haverford College's Department of Mathematics in the early part of the twentieth century. He is credited with being the first to arrive at the celebrated Morley's trisector theorem:
"The three points of intersection of the adjacent angle trisectors of any triangle form an equilateral triangle."



Continue reading at:
gogeometry.com/puzzle/Puzzle_Morley.htm

Morley's Theorem

Introduction with animation. Triangle + Trisectors = Equilateral triangle.
Frank Morley was a member of Haverford College's Department of Mathematics in the early part of the twentieth century. He is credited with being the first to arrive at the celebrated Morley's trisector theorem:
"The three points of intersection of the adjacent angle trisectors of any triangle form an equilateral triangle."



Continue reading at:
gogeometry.com/geometry/morley_theorem_angle_trisector.html

Varignon and Wittenbauer paralellograms

Midpoints and trisectors of the sides of a quadrilateral.


Continue reading at:
gogeometry.com/VarigWitten.htm