# Geometric Problems by Reflection

Below is a list of problems either defined in terms of *reflections* or for which there is a solution exploiting the reflection transformation.

- 6 to 9 Point Circle: What Is It About?
- A Circle-Stacking Theorem
- A Problem of Hinged Squares
- A Property of the Line IO
- A Property of the Line IO: A Proof From The Book
- A Quadrilateral With Equal Opposite Sides And Angles
- Bisecting Arcs
- Bisection of Yin and Yang
- Butterfly theorem
- Ceva's Theorem
- Chords, Concurrency and Orthic Triangle
- Classification of Quadrilaterals
- Construction of n-gon by midpoints of its edges
- Cyclic Incenters
- Droz-Farny Line Theorem
- Fagnano's Problem
- Fagnano's Problem in Reverse
- Fermat Point and Generalizations
- Fixed Point of Circles Orthogonal to the Given One
- Golden Ratio in a Irregular Pentagon, Construction I
- Heron's Problem
- Internal Tangents to Three Circles
- Is X a Midpoint of a Chord?
- Morley's Pursuit of Incidence
- Orthocenter and Three Equal Circles
- Pinning Butterfly on Radical Axes
- Problem of Equal Steps II
- Reflections of a Line Through the Orthocenter
- Reflections of a Point on the Circumcircle
- Reflections of the Orthocenter
- Reflections in Ellipse
- Simson line
- Solution VI by Tom Verhoeff
- Symmedian and Antiparallel
- Synthetic proof of Christopher Bradley's Conjecture
- The 80-80-20 Triangle Problem, A Variant
- The 80-80-20 Triangle Problem, Solution #2
- The Broken Chord Theorem by Paper Folding
- The Euler Line
- The Eyeball Theorem
- Three Congruent Circles by Reflection
- Three Congruent Circles by Reflection II
- Three Congruent Circles by Reflection III
- Three Parallels in a Triangle
- Two Butterflies Theorem
- Two Congruent Circles by Reflection
- Two Triangles With Common Base and Altitude
- Zaslavsky's Theorem

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