Online Geometry Education

Go Geometry Problems Collection from 601 to 700. Online College, High School

All Geometry Problems 601 -700

Problem 601
Cyclic Quadrilateral, Incenter, Excenter, Rectangle.

Problem 602
Triangle, Angles, 30 and 45 Degrees, Cevian, Congruence.

Problem 603
Parallelogram, Diagonals, Congruence, Concurrency.

Problem 604 Parallelograms, Triangle, Trapezoid, Area.

Problem 605
Circle, Square, Chord, Perpendicular, Metric Relations.

Problem 606
Isosceles Triangles, Perpendicular and Parallel Lines.

Problem 607
Intersecting Circles, Triangles, Metric Relations, Measurement.

Problem 608
Square with Right Triangles, Metric Relations, Congruence, Measurement.

Problem 609. Triangle, Perpendiculars, 90 Degrees, Collinearity.

Problem 610
Intersecting Circles, Radius, Parallel, Common Tangent, Angle, 90 Degrees.

Problem 611
Altitude of a Triangle, Perpendicular, Collinear Points, Parallel.

Problem 612. Altitude of a Triangle, Perpendicular, Congruence.

Problem 613. Altitude of a Triangle, Perpendicular, Collinear Points.

Problem 614
Parallelogram, Diagonals, Intersecting Lines, Parallel Lines.

Problem 615
Right Triangle with a Square, Diagonals, Center, Area of Quadrilateral.

Problem 616
Parallelogram, Diagonals, Intersecting Lines, Parallel Lines.

Problem 617
Right Triangle Area, Incircle, Incenter, Tangent, 90 Degrees.

Problem 618
Triangle Area, 60 Degrees, Incircle, Incenter, Tangent.

Problem 619
Triangle Area, 30 Degrees, Incircle, Incenter, Tangent.

Problem 620
Three Rectangles, Diagonals, Centers, Angles

Problem 621
Three Rectangles, Diagonals, Centers, Angles.

Problem 622
Square with Perpendiculars, Transversal, Congruence.

Problem 623
Triangle, Incenter, Excenter, Incircle, Excircle, Concyclic Points.

Problem 624
Triangle, Incenter, Excenter, Incircle, Excircle, Similarity.

Problem 625
Triangle, Parallel Lines, Congruence, Angle Bisector.

Problem 626
Triangle, Distance from the Incenter to an Excenter.

Problem 627
Cyclic Quadrilateral, Congruence, Concyclic Points.

Problem 628 Cyclic Quadrilateral, Congruence, Parallel Lines.

Problem 629 Triangle, Perpendicular to Sides, Intersecting Lines, Altitude.

Problem 630: Clawson Point.
Orthic and Extangents Triangles, Concurrent lines.

Problem 631. Triangle, Exterior Angle Bisectors, Collinear Points.

Problem 632.
Triangle, Interior and Exterior Angle Bisectors, Midpoints, Collinear Points.

Problem 633
Triangle, Parallel Lines, Intersecting Lines.

Problem 634
Right Triangle, Altitude, Incenters, Areas.

Problem 635
Semicircle, Diameter, Perpendicular, Inscribed Circle, Radius.

Problem 636
Semicircle, Diameter, Perpendicular, Inscribed Circle, Common Tangent.

Problem 637
Semicircle, Diameter, Perpendicular, Inscribed Circle, Chord, Tangent, Arbelos.

Problem 638
Arbelos and Inscribed Circle: Concyclic Points.

Problem 639
Semicircle, Diameter, Perpendicular, Inscribed Circle, Tangent, Arbelos, Congruence.

Problem 640.
Archimedes Book of Lemmas: Proposition 1
Tangent circles and parallel diameters.

 

Problem 641.
Archimedes Book of Lemmas: Proposition 2
Semicircle, Tangent, Perpendicular, Midpoint.

Problem 642.
Archimedes Book of Lemmas: Proposition 3
Semicircle, Perpendicular, Arc, Midpoint, Congruence.

Problem 643.
Archimedes Book of Lemmas: Proposition 4
Semicircle, Circle, Perpendicular, Arbelos, Area.

Problem 644.
Archimedes Book of Lemmas: Proposition 5
Semicircle, Circle, Perpendicular, Arbelos, Archimedean Twins.

Problem 645.
Archimedes Book of Lemmas: Proposition 6
Semicircle, Circle, Perpendicular, Arbelos, Inscribed Circle.

Problem 646.
Archimedes Book of Lemmas: Proposition 7
Square,Inscribed and Circumscribed Circles, Area.

Problem 647.
Archimedes Book of Lemmas: Proposition 8
Angle trisection. Neusis construction.

Problem 648.
Archimedes Book of Lemmas: Proposition 9
Perpendicular chords, Arcs.

Problem 649.
Archimedes Book of Lemmas: Proposition 10
Tangent, Chord, Parallel, Midpoint.

Problem 650.
Tangent Circles, Diameter, Radius, Chord, Perpendicular.

Problem 651.
Archimedes Book of Lemmas: Proposition 11
Perpendicular chords, Arcs, Radius.

Problem 652.
Archimedes Book of Lemmas: Proposition 12
Perpendicular chords, Arcs, Radius.

Problem 653.
Archimedes Book of Lemmas: Proposition 13
Circle, Chord, Perpendicular, Congruence.

Problem 654.
Archimedes Book of Lemmas: Proposition 14
Salinon, Semicircles, Diameter, Circle, Area.

Problem 655.
Archimedes Book of Lemmas: Proposition 15
Circle, Inscribed Regular Pentagon, Radius.

Problem 656.
Triangle, Cevian, Concurrent Lines.

Problem 657.
Triangle, Incircle, Tangency Points, Parallel lines.

Problem 658.
Triangle, Altitudes, Diameter, Circle, Angles.

Problem 659.
Parallelogram, Parallel Lines, Collinear Points.

Problem 660. Triangle, Circle, Diameter, Perpendicular Lines.

Problem 661.
Intersecting Circles, Centers, Secant, Parallelogram.

Problem 662.
Triangle, Incenter, Circumcenter, Orthocenter, Circle, Angle, Measurement.

Problem 663.
Scalene Triangle, 60 Degrees, Altitude, Angle Bisector, Perpendicular Bisector, Concurrency.

Problem 664.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Angles, Triangle centers.

Problem 665. Intersecting Circles, Secant, Tangent, Angles, Mind Map.

Problem 666.
Intersecting Circles, Secant, Tangent, Concyclic points, Mind Map.

Problem 667.
Intersecting Circles, Secant, Tangent, Metric Relations, Mind Map.

Problem 668.
Right triangle, Incircles, Parallel, Common Tangent, Mind Map.

Problem 669.
Triangle, Circumcircle, Incenter, Midpoint, Collinear points, Mind Map.

Problem 670.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Congruence.

Problem 671.
Triangle, Cevian, Angles, Congruence.

Problem 672. Internally tangent circles, Chord, Tangent, Geometric Mean.

Problem 673. Internally tangent circles, Chord, Tangent, Metric Relations.

 

Problem 674.
Triangle, Altitude, Angles

Problem 675.
Intersecting Circles, Secant, 45 and 90 Degrees, Collinear Points.

Problem 676. Circles, Diameter, Tangent, Metric Relations.




Problem 677.
Parallelogram, Midpoint, Diagonal, Metric Relations.

Problem 678. Triangle, Simson Line, Circumcircle, Tangent, Parallel, Perpendicular, Collinear Points.

Problem 679.
Triangle, Circle, Median, Proportion.

Problem 680.
Concentric Circles, Radii, Chords, Perpendicular, Metric Relations.

Problem 681: Gergonne Point.
Triangle, Incircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem.

Problem 682: Gergonne External Point.
Triangle, Excircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem.

Problem 683: Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem.

Problem 684: Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem.

Geometry Problem 685
Isosceles Triangle, 100-40-40 Degrees, Angles, Congruence.

Geometry Problem 686. Triangle, Three Excircles, Tangency points, Tangent lines, Semi-perimeter, Congruence.

Geometry Problem 687.
Triangle, Three Excircles, Tangency points, Concurrent Lines.

Geometry Problem 688.
Triangle, Angles, 10, 20, 30, 40, 60 Degrees, Measure, Mind Map, Polya.

Geometry Problem 689. Triangle, Three Excircles, Tangency points, Tangent lines, Concurrent Lines, Mind Map.

Problem 690: Distance between the Incenter and the Centroid of a Triangle.
Formula in terms of the sides a,b,c.

Geometry Problem 691.
Isosceles Triangle, 80-80-20 Degrees, Angles, Congruence, Mind Map, Polya.

Geometry Problem 692. Quatrefoil, Four Equal Circles and a Circle Inscribed in a Square, Areas, Mind Map, Polya.

Geometry Problem 693.
Square, Inscribed and Circumscribed Circle, Areas, Mind Map, Polya.

Geometry Problem 694.
Triangle, Angles, 30 Degrees, Auxiliary Construction, Mind Map, Polya.

Geometry Problem 695.
Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya.

Geometry Problem 696.
Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya.

Geometry Problem 697.
Square, Circle, Sector, Segment, Tangent, Inscribed, Congruence, Mind Map, Polya.

Geometry Problem 698.
Quadrilateral, Diagonal, Angle Bisector, Triangle, 120 Degrees.

Geometry Problem 699.
Equilateral Triangle, Circle, Circular Segment, Midpoint, Metric Relations.

Geometry Problem 700.
Equilateral Triangle, Circle, Circular Segment, Midpoint of a side, Metric Relations.

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