All Geometry Problems 501 - 600

 Problem 501. Triangle, Two Squares, Center, Midpoint, another Square. Problem 502. Triangle, Two Squares, Midpoint, Perpendicular, Half the measure. Problem 503. Triangle with Three Squares, Perpendicular, Congruence, Concurrency. Problem 504. Equilateral Triangle, Angles, 45, 60 Degrees. Problem 505. Right Triangle, Cevian, Sum of Segments, Angles. Problem 506. Triangle with Three Squares, Center, Midpoint, Perpendicular. Problem 507. Triangle, Interior Point, 120 Degrees, Congruence, Angle. Problem 508. Triangle with three Squares, Four triangle of equal Area. Problem 509. Triangle, 120 Degrees, Angles, Congruence, Mind Map. Problem 510. Triangle, Three Squares, Midpoints, Concurrency. Problem 511. Triangle, Double Angle, Angle Bisector, Measure. Problem 512. Triangle with three squares and concurrency. Problem 513. Triangle, Double Angle, Exterior Angle Bisector, Measure. Problem 514. Triangle, Five Squares, Line, Area. Problem 515. Triangle, Double Angle, Altitude, Measure. Problem 516. Triangle, Cevian, Congruence, Angles. Problem 517. Right Triangle, Six Squares, Areas. Problem 518. Parallelogram, Five Squares, Centers, 45 Degrees, Measure. Problem 519. Triangle, Squares, Altitude, Perpendicular, Rectangle, Area. Problem 520. Triangle with six Squares, Ratio, Area. Problem 521. Triangle with three Squares, Altitude, Rectangle, Area. Problem 522. Right Triangle, Circle, Diameter, Tangent. Problem 523. Tangent Circles, Diameter Perpendicular, Collinearity. Problem 524. Circle, Equilateral Triangles, Midpoint, Side, Measurement. Problem 525. Circles, Diameter, Tangent, Radius, Congruence, Measurement. Problem 526. Equilateral Triangle, Chord, Measurement. Problem 527. Circle, Tangent, Secant, Chord, Midpoint, Measurement. Problem 528. Triangle, Medians, Perpendicular, Measurement. Problem 529. Right Trapezoid, Circle, Diameter. Problem 530. Right Trapezoid, Circle, Diameter. Problem 531. Triangle, Angle Bisector, Midpoint, Parallel, Perimeter, Semiperimeter. Problem 532. Triangle, Circumcircle, Equal Angles, Perpendicular, Area. Problem 533. Euclid's Elements, Book XIII, Proposition 10. Problem 534. Right Triangle, Squares, Perpendicular, Dissection, Areas. Problem 535. Sawayama - Thebault's theorem: Triangle, Incircle, Circle, Center, Tangent, Collinear. Problem 536. Intersecting Circles, Chord, Perpendicular. Problem 537. Rectangle, Midpoints, Diagonal, Angle Bisector. Problem 538. Triangle, Perpendicular Bisector, Circumcircle, Midpoint. Problem 539. Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras. Problem 540. Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras. Problem 541. Right Triangle, Altitude, Angle Bisector, Congruence. Problem 542. Right Triangle, Altitude, Angle Bisector, Perpendicular, 90 Degrees. Problem 543. Right Triangle, Altitude, Angle Bisector, Median. Problem 544. Right Triangle, Altitude, Median, Equal angles, Measure. Problem 545. Acute Triangle, Squares, Altitudes, Area, Measure. Problem 546. Triangle, Angle Trisectors, 60 Degrees, Equilateral triangle. Problem 547. Triangle, Transversal, Four Circumcircles, Concurrency. Problem 548. Triangle, Transversal, Four Circumcircles, Circumcenters, Concyclic Points, Similarity. Problem 549. Parallel lines, Transversal, Angle Sums. Problem 550. Parallel lines, Transversal, Angle Sums. Problem 551. Parallel lines, Transversal, Angle Sums. Problem 552. Parallel lines, Transversal, Angle Sums. Problem 553. Quadrilateral, Angles, Sum. Problem 554. Concave Quadrilateral, Angles, Sum. Problem 555. Parallel lines, Angle Sums. Problem 556. Quadrilateral, Diagonal, Angles, Auxiliary Lines. Problem 557. Quadrilateral, Midpoints, Sides, Varignon Parallelogram, Area, Auxiliary Lines. Problem 558. Quadrilateral, Trisection, Sides, Wittenbauer Parallelogram, Area, Auxiliary Lines. Problem 559. Triangle, Cevian, Incenters, Angle, 90 Degrees. Problem 560. Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent. Problem 561. Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent. Problem 562. Triangle, Cevian, Incenter, Perpendicular, Concyclic Points, Cyclic Quadrilateral. Problem 563. Regular Pentagon, Center, Rectangle, Diagonals, Angle. Problem 564. Complete Quadrilateral, Incenter, Excenter, Concyclic Points. Problem 565. Triangle, Isogonal lines, Angles, Congruence, Concyclic Points. Problem 566. Quadrilateral, Diagonals, Parallel. Problem 567. Right triangle, Incircle, Excircle, Collinear tangency points. Problem 568. Triangle, Excircles, Tangency Point, Congruence. Problem 569. Quadrilateral, Excircles, Tangency Points, Congruence. Problem 570. Square, Center, Right Triangles, Congruence, Collinearity. Problem 571. Circle, Diameter, Chord, Perpendicular, Measurement. Problem 572. Right triangle, Median, Circle, Diameter, Excircle, Tangent circles. Problem 573. Cyclic quadrilateral, Angle bisector, Perpendicular. Problem 574. Circle, Chord, Secant, Angle Bisector, Perpendicular. Problem 575. Cyclic quadrilateral, Angle bisector, Measurement. Problem 576. Centroid, Triangle, Quadrilateral, Parallel, Measurement. Problem 577. Isosceles triangle, Midpoint, Perpendicular, Concyclic points, Circle.   Problem 578. Circle, Perpendicular Chords, Midpoints, Curvilinear Triangle, Area, 90 Degrees. Problem 579. Quadrilateral, Diagonals, Triangles, Areas. Problem 580. Triangles, Equal Angle, Transversal, Product of Sides, Areas. Problem 581. Volume of two Triangular Pyramids, Equal Trihedral Angle, Product of three Edges. Problem 582. Quadrilateral, Diagonals, Incenters, Metric Relations. Problem 583. Quadrilateral, Diagonals, Circumcenters, Parallelogram, Octagon, Areas. Problem 584. Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Parallelograms.   Problem 585. Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Concurrency. Problem 586. Cyclic Quadrilateral, Diagonals, Any Point, Circumcenters, Circumcircles, Concurrency. Problem 587. Triangle, Incenter, Incircle, Tangency Point, Midpoint, Distance, Half the Difference. Problem 588. Triangle, Incenter, Incircle, Tangency Points, Midpoints, Distance, Sum. Problem 589. Triangle, Incenter, Incircle, Tangency Points, Midpoint, Perpendicular, Distance. Problem 590. Triangle, Incenter, Incircle, Tangency Point, Midpoint, Areas. Problem 591. Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude. Problem 592. Triangle, Incenter, Incircle, Tangency Point, Midpoints, Concurrent Lines, Congruence. Problem 593. Triangle, Circumcircle, Collinear Points. Problem 594. Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude, Angle, Half the Difference. Problem 595. Triangle, Equal Angles, Isogonal Conjugate, Similarity. Problem 596 Quadrilateral, Right Triangle, Isosceles, Midpoint. Problem 597 Quadrilateral, Right Triangle, Isosceles, Angle, Congruence. Problem 598. Trapezoid, Perpendicular, Equal Angles, Metric Relation. Problem 599 Regular Hexagon, Square, Midpoint, Angle, Degrees. Problem 600 Circle, Area, Tangent, Semicircle, Tangency Point.

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