Eta

Goal: 37 stars

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Levels

Level Name	Goal	Instruction
7.1 Sum of Areas of Squares	3L 6E	Construct a square whose area equals the sum of the areas of the two given squares and all three have the common angle.
7.2 Annulus	4L 5E	Construct a circle that is concentric with the given one and divides it into 2 parts of equal area.
7.3 Angle of 75°	3L 5E 2V	Construct an angle of 75° with the given side.
7.4 Line Equidistant from Three Points	3L 7E 3V	Construct a line that is at equal distance from the given three points.
7.5 Heron's Problem	4L 4E	Construct a point C on the given line and segments AC and BC such that the sum of their length is minimal.
7.6 Circumscribed Circle	3L 7E	Construct the circumcircle of the triangle.
7.7 Inscribed Circle	4L 8E	Construct the incircle of the triangle.
7.8 Circle Tangent to Three Lines	4L 6E 2V	Construct a circle that is tangent to the three given lines. Two of the lines are parallel.
7.9 Segment by Midpoint	3L 5E	Construct a segment with the ends on the sides of the angle such that the given point is its midpoint.
7.10 Angle Isosceles	2L 5E	Construct a line through the given point such that it cuts off equal segments on the sides of the angle.
7.11 Excircle	4L 8E 3V	Construct an excircle of the triangle formed by the three given lines.

List of Levels

Alpha Angle of 60° • Perpendicular Bisector • Midpoint • Circle in Square • Rhombus in Rectangle • Circle Center • Inscribed Square Beta Angle Bisector • Intersection of Angle Bisectors • Angle of 30° • Double Angle • Cut Rectangle • Drop a Perpendicular • Erect a Perpendicular • Tangent to Circle at Point • Circle Tangent to Line • Circle in Rhombus Gamma Chord Midpoint • Triangle by Angle and Orthocenter • Intersection of Perpendicular Bisectors • Three equal segments - 1 • Circle through Point Tangent to Line • Midpoints of Trapezoid Bases • Angle of 45° • Lozenge • Center of Quadrilateral Delta Double Segment • Angle of 60° - 2 • Circumscribed Equilateral Triangle • Equilateral Triangle in Circle • Cut Two Rectangles • Square Root of 2 • Square Root of 3 • Angle of 15° • Square by Opposite Midpoints • Square by Adjacent Midpoints • Square by Two Vertices Epsilon Parallel Line • Parallelogram by Three Vertices • Line Equidistant from Two Points - 1 • Line Equidistant from Two Points - 2 • Hash • Shift Angle • Line Equidistant from Two Lines • Circumscribed Square • Square in Square • Circle Tangent to Square Side • Regular Hexagon Zeta Point Reflection • Reflection • Copy Segment • Given Angle Bisector • Non-collapsing Compass • Translate Segment • Triangle by Three Sides • Parallelogram • Nine Point Circle • Symmetry of Four Lines • Parallelogram by Three Midpoints Eta Sum of Areas of Squares • Annulus • Angle of 75° • Line Equidistant from Three Points • Heron's Problem • Circumscribed Circle • Inscribed Circle • Circle Tangent to Three Lines • Segment by Midpoint • Angle Isosceles • Excircle Theta Perimeter Bisector • Angle 54° Trisection • Interior Angles • Regular Octagon • Triangle Cleaver • Torricelli Point • Circle Equidistant from Four Points • Octagon from Square • Egyptian Triangle by Side of Length 4 • Chord Parallel to Segment Iota Minimum Perimeter - 1 • Third Proportional • Harmonic Mean of Trapezoid Bases • Drop a Perpendicular* • Midpoint* • Trisection by Trapezoid Diagonals • Minimum Perimeter - 2 • Harmonic Mean of Segments • Triangle by Angle and Centroid • Triangle Mid-Segment Kappa Tangent of Circle • Outer Tangent • Inner Tangent • Rotation 90° • Rotation 60° • Segment Trisection • Segment Trisection* • Chord Trisection • Three Circles - 1 • Secant Bisection • Three Circles - 2 • Center of Rotation Lambda Fourth Proportional • Geometric Mean of Segments • Golden Section • Angle of 54° • Third Parallel Line • Circle in Angle • Geometric Mean of Trapezoid Bases • Regular Pentagon • Point Farthest from Angle Sides • Ratio 1 to 5 Mu Triangle by Midpoints • Triangle by Side and Centroid • Triangle by Altitude Base Points • Triangle by Tangent Points • Triangle by Excenters • Equilateral Triangle by Centroid and Two Points • Right Triangle by Two Points on Legs • Hypotenuse and Altitude • Hypotenuse and Leg • Isosceles Triangle by Tangent Points Nu Circle Tangent to Line and Circle • Equilateral Triangle - 2 • Equilateral Triangle on Concentric Circles • Square in Triangle • Point Equidistant from Side of Angle and Point • Circle Through Two Points and Tangent to Line • Inscribed Square - 2 • Line Reflection • Square by Four Points Xi Rhombus in Triangle • Circle Tangent to Two Circles • Triangle by Tangent Point on Hypotenuse • Parallelogram on Four Lines • Arbelos Omicron Midpoint* • Copy Circle • Line-Circle Intersection • Three Equal Segments • Tangent to Circle* • Napoleon's Problem • Drop a Perpendicular** • Line-Circle Intersection* • Circle with Center on Line • Angle of 3° • Mickey Mouse Tutorials Equilateral Triangle • Intersect Tool • Perpendicular Bisector • Move Tool • Angle Bisector • Perpendicular • Parallel Line • Compass