Online Geometry Education

Go Geometry Problems Collection from 401 to 500. Online College, High School

All Geometry Problems 401 - 500


Problem 401.
Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence.

Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity.

Problem 403.
Circular sector, 90 degrees, Circle, Semicircle, Area.

Problem 404.
External Equilateral triangles, Congruent and Concurrent Lines.

Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint.

Problem 406.
Right triangle, 15 degrees, Midpoints, Congruence.

Problem 407.
Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center.

Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence.

Problem 409.
Quadrilateral, Diagonals, Perpendicular, Congruence.

Problem 410.
Two Regular Pentagons, Angle.

Problem 411.
Triangle, Median, Angles.

Problem 412.
Triangle, Angles, Congruence.

Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency, Congruence.

Problem 414. Triangle, Angles, Altitude, Median, Congruence.

Problem 415.
Right Triangle, Cevian, Angles, Congruence.

Problem 416. Triangle, Cevians, Trisectors, Area. 

Problem 417. Tangent circles, Tangent lines, Angles.

Problem 418.
Triangle, Incircle, Inradius, Equal Tangent circles, Radius.

Problem 419.
Triangle, Cevian, Incircle, Excircle, Inradius, Exradius.

Problem 420.
Triangle, Altitude, Angles, Sides, Measurement.

Problem 421.
Right Triangle, Cevian, Angles, Measurement.

Problem 422.
Triangle, 24, 30 degree, Angle, Congruence.

Problem 423.
Triangle, 30, 40 degree, Angle, Congruence.

Problem 424.
Triangle, Cevian, Angle, 90 degree, Congruence.

Problem 425.
Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence.

Problem 426.
Triangle, Circumradius, Circumcenter, concurrent Cevians.

Problem 427.
Triangle, Two Altitudes, Square of a Side.

Problem 428.
Quadrant of a circle, Square, Angle bisector, Measurement.

Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement.

Routh's Theorem 1.
Triangle, Cevians, Ratio of Areas.

Routh's Theorem 2.
Triangle, Cevians, Ratio of Areas.

Routh's Theorem 3.
Triangle, Cevians, Ratio of Areas.

Routh's Theorem 4.
Triangle, Cevians, Ratio of Areas.

Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas.

Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal. 

Problem 432.
Trapezoid, Parallel, Measurement, Similarity, Transversal.

Problem 433.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity.

Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity.

Problem 435.
Triangle, Incircle, Inradius, Congruent circles, tangent, Measurement.

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

Problem 436.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Problem 437.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Problem 438.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement, Parallel lines.

Problem 439. Isosceles triangle, Cevian, Incenter, Angles, Circle.

Problem 440.
Triangle, Incircle, Incenter, Angle Bisector, Tangency Points, Circle, Angles.

Problem 441.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity.

Problem 442.
Triangle, Median, Cevian, Transversal, Congruent Angles.

Problem 443.
Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent line, Angles.

Problem 444.
Internally Tangent circles, Secant line, Chords, Angles, Congruence.

Problem 445.
Three Tangent Circles, Tangency Points, Circumradius.

Problem 446.
Quadrilateral Area, Dividing the sides into 5 equal parts.

Problem 447.
Complete Quadrilateral, Inradii, Exradii, Sides.
Problem 448.
Tangent Circles, Diameter, Perpendicular, Chord.

Problem 449.
Congruent Tangent Circles, Diameter, Sagitta, Arc, Perpendicular, Chord.

Problem 450.
Triangle, Median, Cevian, Congruence, Proportional Segments.

Problem 451.
Triangle, Median, Congruence, Proportional Segments.

Problem 452.
Triangle, Circle, Tangent, Proportional Segments.

Problem 453.
Intersecting Circles, Tangent, Circular Segment, Congruence, Area.

Problem 454.
Triangle, Incircle, Inradius, Tangent, Circle, Radius. 

Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees.

Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear.

Problem 457.
Triangle, First Brocard Point, Congruent angles, Circle, Circumradius.

Problem 458.
Square, Semicircle, Circular Sector, Internal Common Tangent, Measure

Problem 459.
Right triangle, Squares, Distance, Measurement.

Problem 460.
Circle, Tangent, Perpendicular, Radius, Distance, Measurement.

Problem 461.
Three Circles, Tangent, Right Angle, Center, Distance, Measurement.

Problem 462.
Square, Arcs, 90 Degrees, Circle, Tangent, Radius, Measurement.

Problem 463.
Three Concentric Circles, Secant, Tangent, Triangle, Area.
 

Problem 464.
Square, Arcs, Center, Angle, 90 Degrees, 120 Degrees.

Problem 465.
Square, Arc, Angle, 90 Degrees, Measurement.

Problem 466.
Concentric Circles, Secant, Congruence, Measurement.

Problem 467.
Concentric Circles, Chord, Tangent, Congruence, Measurement.

Problem 468.
Circle, Chord, Midpoint, Congruence, Angle.

Problem 469.
Isosceles triangle, Midpoint, Transversal, Congruence.

Problem 470.
Triangle, Parallel, Parallelogram, Area, Similarity.

Problem 471.
Triangle, Parallel, Side, Concurrency, Area, Similarity

Problem 472.
Triangle, Parallel, Side, Parallelogram, Area, Similarity

Problem 473.
Triangle, Parallel, Side, Parallelogram, Area, Similarity.

Problem 474.
Parallelogram, Diagonal, Circle, Vertex.

Problem 475.
Tangent Circles, Secant, Tangent, Parallel.

Problem 476.
Triangle, Circumcenter, Circumcircle, Angles.

Problem 477.
Parallelogram, Triangle, Quadrilateral, Area.

Problem 478.
Triangle, Sides, Circumradius, Circumcenter, Circumcircle.

Problem 479.
Triangle, Cevians, Concurrency, Transversal, Proportion.

Problem 480.
Triangle, Circle, Center, Altitude, Angle, Circumcenter.

Problem 481.
Triangle, Altitude, Cevian, Perpendicular, Angle.

Problem 482.
Triangle, Circumcircle, Incenter, Excenter, Midpoint, Cyclic Points.

Problem 483.
Square, Angle, 90 degrees, Measurement.

Problem 484. Square, Angle, 90 degrees, Triangle, Measurement, Proportion.

Problem 485. Square, Side, Circles, Tangent, Radius, Measurement.

Problem 486.
Tangent circles, Chord, Arc, Midpoint, Collinearity, Congruence.

Problem 487. Intersecting Circles, Area, Diameter, Parallel, 90 Degrees.

Problem 488. Triangle, Cevian, Concurrency, Circle, Circumcircle.

Problem 489.
Parallelogram, Triangle, Quadrilateral, Area.

Problem 490. Tangent Circles, Arc, Radius, Circular Sector, Area.

Problem 491. Square, Right Triangle, Incircle, Inscribed Circle, Radius.

Problem 492. Cyclic Quadrilateral, Circle, Perpendicular, Side, Diagonal, Parallel.

Problem 493. Right Triangle, Circumcircle, Perpendicular, Chord.

Problem 494. Circular Sector, 90 Degrees, Semicircle, Chord, Parallel.

Problem 495.
Triangle, 120 Degrees, Angle Bisectors.

Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors.

Problem 497. Triangle, Two Squares, Centers, Midpoint, 90 Degrees.

Problem 498. Triangle, Angle Bisector, Double Angle, Measure.

Problem 499. Triangle, Two Squares, Perpendicular.

Problem 500.
Circle, Diameter, Chord, Perpendicular, Measure.

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