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Geometry Problems 1411 - 1420
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![Geometry problems 1411-1420](geometry_problems_1411_1420_1.jpg) |
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![Problem 1411](../../school-college/5/p1411-right-triangle-incircle-excircle-tangent-isosceles-1.jpg) |
Geometry Problem 1411. Right Triangle, Incircle, Excircle, Tangency Points,
Isosceles Right Triangle. |
![Problem 1412](../../school-college/5/p1412-right-triangle-incircle-excircle-tangent-45-degrees-1.jpg) |
Geometry Problem 1412. Right Triangle, Incircle, Excircle, Tangency Points,
45 Degree Angle. |
![Problem 1413](../../school-college/5/p1413-right-triangle-incircle-excircle-tangent-isosceles-1.jpg) |
Geometry Problem 1413. Right Triangle, Incircle, Excircle, Tangency Points,
Isosceles Right Triangle. |
![Problem 1414](../../school-college/5/p1414-right-triangle-altitude-incircle-excircle-tangent-isosceles-1.jpg) |
Geometry Problem 1414. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle. |
![Problem 1415](../../school-college/5/p1415-right-triangle-altitude-incircle-excircle-tangent-isosceles-1.jpg) |
Geometry Problem 1415. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle. |
![Problem 1416](../../school-college/5/p1416-right-triangle-altitude-incircle-excircle-tangent-45-degree-1.jpg) |
Geometry Problem 1416. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, 45 Degree Angle. |
![Problem 1417](../../school-college/5/p1417-triangle-incenter-circumcircle-tangent-cevian-bisector-perpendicular-1.jpg) |
Geometry Problem 1417. Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector,
Tangent Lines, Tangent Circles. |
![Problem 1418](../../school-college/5/p1418-triangle-incenter-parallel-angle-circle-tangent-1.jpg) |
Geometry Problem 1418. Triangle, Circumcircle, Incenter, Side, Sum of Segments, Tangent, Parallel, Angle. |
![Problem 1419](../../school-college/5/p1419-triangle-incenter-inradius-circumcircle-distance-sketch-ipad-1.jpg) |
Geometry Problem 1419. Triangle, Altitude, Circumcircle, Incenter, Inradius, Perpendicular, Angle Bisector, Midpoint. |
![Problem 1420](../../school-college/5/p1420-circle-area-regular-hexagon-tangent-1.jpg) |
Geometry Problem 1420. Regular Hexagon, Inscribed Circle, Area, Tangent
Circles, Tangent Line. |
![Problem 1421](../../school-college/5/p1421-right-triangle-incircle-excircle-measurement-1.jpg) |
Geometry Problem 1421. Right Triangle, Incircle, Excircle, Tangent Lines, Measurement. |
![Problem 1422](../../school-college/5/p1422-triangle-cevian-transversal-area-1.jpg) |
Geometry Problem 1422. Triangle, Transversal, Cevian, Area, Measurement. |
![Problem 1423](../../school-college/5/p1423-triangle-equal-angle-similarity-area-1.jpg) |
Geometry Problem 1423. Triangle, Area, Three Equal Angles, Circumradius, Measurement. |
![Problem 1424](../../school-college/5/p1424-parallelogram-triangle-trapezoid-area-1.jpg) |
Geometry Problem 1424. Triangle, Parallelogram, Trapezoid, Area, Diagonal, Measurement. |
![Problem 1425](../../school-college/5/p1425-two-squares-concurrent-lines-1.jpg) |
Geometry Problem 1425. Two Squares, Collinear Points, Concurrent Lines. |
![Problem 1426](../../school-college/5/p1426-two-squares-triangle-quadrilateral-area-1.jpg) |
Geometry Problem 1426. Two Squares, Collinear Points, Triangle, Quadrilateral, Sum of the Areas. |
![Problem 1427](../../school-college/5/p1427-square-circle-tangent-radius-1.jpg) |
Geometry Problem 1427. Circle inscribed in a square, Arc, Tangent Line, Tangent Circles, Radii. |
![Problem 1428](../../school-college/5/p1428-circle-tangent-triangle-square-area-1.jpg) |
Geometry Problem 1428. Intersecting Circles, Tangent Line, Triangle, Square, Area. |
![Problem 1429](../../school-college/5/p1429-triangle-median-angle-15-30-degree-1.jpg) |
Geometry Problem 1429. Triangle, Median, 15-30 degree, Angle, Congruence. |
![Problem 1430](../../school-college/5/p1430-regular-octagon-area-1.jpg) |
Geometry Problem 1430. Regular Octagon, Area, Equivalent Figures,
Poster, Conformal Mapping. |
![Problem 1431](../../school-college/5/p1431-apollonius-llc-triangle-circumcircle-tangent-congruent-angle-1.jpg) |
Geometry Problem 1431.
Triangle, Circumcircle, Parallel Chord, Apollonius, LLC, Congruent Angles, Poster, Conformal Mapping. |
![Problem 1432](../../school-college/5/p1432-tangent-circles-proportion-similarity-ipad-apps-1.jpg) |
Geometry Problem 1432.
Tangent Circles, Secant, Tangent Lines, Proportionality, Similarity. |
![Problem 1433](../../school-college/5/p1433-tangent-circles-line-midpoint-1.jpg) |
Geometry Problem 1433.
Tangent Circles, Diameter, Perpendicular, Midpoint, Measurement,
Poster Typography, iPad Apps. |
![Problem 1434](../../school-college/5/p1434-equilateral-triangle-tangent-circles-line-1.jpg) |
Geometry Problem 1434.
Equilateral Triangle, Tangent Circles, Tangent Lines, Arithmetic Mean, Measurement,
Poster, Typography, iPad Apps. |
![Problem 1435](../../school-college/5/p1435-circle-diameter-tangent-parallelogram-1.jpg) |
Geometry Problem 1435.
Circle, Diameter, Inscribed Circles, Circular Sector, Parallelogram, Parallel Lines, Tangency Points,
Poster, Typography, iPad Apps. |
![Problem 1436](../../school-college/5/p1436-right-triangle-altitude-excircle-geometric-mean-1.jpg) |
Geometry Problem 1436.
Right Triangle, Altitude, Excircles, Excenters, Geometric Mean,
Measurement, Art,
Poster, Typography, iPad Apps. |
![Problem 1437](../../school-college/5/p1437-circle-intersecting-tangent-equal-product-ipad-sw-typography-1.jpg) |
Geometry Problem 1437.
Intersecting Circles, Common Tangent, Equal Product, Art, Poster, Typography, iPad Apps. |
![Problem 1439](../../school-college/5/p1439-rectangle-diagonal-perpendicular-circle-ipad-apps-1.jpg) |
Geometry Problem 1439.
Rectangle, Diagonal, Perpendicular, Circles, Areas, Art, Poster, Typography, iPad Apps. |
![Problem 1440](../../school-college/5/p1440-intersecting-circles-perpendicular-bisector-collinearity-1.jpg) |
Geometry Problem 1440.
Intersecting Circles, Perpendicular Bisector, Collinear Points, Art, Poster, Typography, iPad Apps. |
![Problem 1441](../../school-college/5/p1441-intersecting-circles-perpendicular-bisector-parallel-1.jpg) |
Geometry Problem 1441.
Intersecting Circles, Perpendicular Bisector,
Parallel Lines, Art, Poster, Typography, iPad Apps. |
![Problem 1442](../../school-college/5/p1442-triangle-altitude-angle-measurement-1.jpg) |
Geometry Problem 1442.
Triangle, Altitudes, Orthocenter, Perpendicular, Congruent Angles,
Similarity, Measurement, Art, Poster, Typography, iPad Apps. |
![Problem 1443](../../school-college/5/p1443-triangle-area-incenter-90-degree-circumcenter-1.jpg) |
Geometry Problem 1443.
Triangle Area, Incenter, Circumcenter, 90 Degree, Perpendicular, One-third
Area, Art, Poster, Typography, iPad Apps. |
![Problem 1444](../../school-college/5/p1444-asymmetric-propeller-equilateral-triangle-geogebra-1.jpg) |
Dynamic Geometry Problem 1444.
The Asymmetric Propeller Theorem, Equilateral Triangles, Midpoints. Using GeoGebra. |
![Problem 1445](../../school-college/5/p1445-van-aubel-theorem-quadrilateral-geogebra-step-1.jpg) |
Dynamic Geometry Problem 1445.
Van Aubel's theorem, Quadrilateral and Four Squares, Centers. Step-by-step animation using GeoGebra. |
![Problem 1446](../../school-college/5/p1446-lemoine-line-tangent-geogebra-dynamic-1.jpg) |
Dynamic Geometry Problem 1446.
Lemoine Line, triangle, circumcircle, tangent, collinear points. Step-by-step animation using GeoGebra. |
![Problem 1447](../../school-college/5/p1447-vecten-point-outer-geogebra-dynamic-1.jpg) |
Dynamic Geometry Problem 1447.
Outer Vecten Point. Step-by-step
illustration using GeoGebra. |
![Dynamic Geometry 1448](../../school-college/5/p1448-simson-line-geogebra-dynamic-1.jpg) |
Dynamic Geometry 1448.
Simson Line. Step-by-step
illustration using GeoGebra. |
![Dynamic Geometry 1449](../../school-college/5/p1449-salmon-line-geogebra-dynamic-geometry-igs-1.jpg) |
Dynamic Geometry 1449.
Salmon Line. Step-by-step
illustration using GeoGebra. |
![Dynamic Geometry 1450](../../school-college/5/p1450-ortholine-complete-quadrilateral-geogebra-dynamic-igs-1.jpg) |
Dynamic Geometry 1450.
Ortholine, Steiner Line, Complete Quadrilateral, Collineal Orthocenters. Step-by-step
illustration using GeoGebra. |
![Dynamic Geometry 1451](../../school-college/5/p1451-orthopole-geogebra-triangle-perpendicular-concurrency-1.jpg) |
Dynamic Geometry 1451.
Orthopole of a Line. Step-by-step
illustration using GeoGebra. |
![Dynamic Geometry 1452](../../school-college/5/p1452-cyclic-quadrilateral-sangaku-japanese-theorem-geogebra-1.jpg) |
Dynamic Geometry 1452.
Japanese Theorem, Sangaku,
Cyclic Quadrilateral, Incenter, Rectangle, Inradius. Step-by-step
illustration using GeoGebra. |
![Geometry Problem 1453](../../school-college/5/p1453-circle-diameter-cyclic-quadrilateral-concyclic-1.jpg) |
Geometry
Problem 1453.
Two Semicircles, Cyclic Quadrilateral, Concyclic Points,
iPad. |
![Geometry Problem 1454](../../school-college/5/p1454-cyclic-quadrilateral-altitude-geogebra-dynamic-ipad-1.jpg) |
Geometry
Problem 1454.
Intersecting Circles, Perpendicular Lines, Cyclic Quadrilateral, Collinear
Points,
iPad. Step-by-step illustration using GeoGebra. |
![Geometry Problem 1455](../../school-college/5/p1455-nagel-point-incircle-congruence-geogebra-ipad-1.jpg) |
Geometry
Problem 1455.
Nagel Point, Excircles, Incircle, Congruent Segments,
iPad. Step-by-step illustration using GeoGebra. |
![Geometry Problem 1456](../../school-college/5/p1456-orthocenter-triangle-similarity-circles-geogebra-ipad-1.jpg) |
Geometry
Problem 1456.
Altitudes, Orthic Triangle, Circumcircle, Parallel lines, Similarity, Area,
iPad. Step-by-step illustration using GeoGebra. |
![Geometry Problem 1457](../../school-college/5/p1457-orthocenter-triangle-similarity-circles-radii-1.jpg) |
Geometry
Problem 1457.
Altitudes, Circles, Similarity,
Product of the Inradii Lengths,
iPad. Step-by-step illustration using GeoGebra. |
![Geometry Problem 1458](../../school-college/5/p1458-incircle-excircle-triangle-area-1.jpg) |
Geometry
Problem 1458.
Triangle, Incircles, Excircle, Area, Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1459](../../school-college/5/p1459-orthocenter-triangle-midpoint-perpendicular-1.jpg) |
Geometry
Problem 1459.
Two Triangles, Orthocenter, Midpoint, Perpendicular, Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1460](../../school-college/5/p1460-newton-gauss-line-dynamic-complete-quadrilateral-1.jpg) |
Dynamic Geometry
1460.
Newton-Gauss Line, Complete Quadrilateral, Midpoints of Diagonals,
Collinear Points, Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1461](../../school-college/5/p1461-quadrilateral-angle-30-congruence-1.jpg) |
Geometry Problem 1461.
Quadrilateral, Triangle, Angles, 30-60 Degree, Congruence, Auxiliary Lines. |
![Geometry Problem 1461](../../school-college/5/p1461-quadrilateral-angle-30-congruence-1.jpg) |
Geometry Problem 1461.
Quadrilateral, Triangle, Angles, 30-60 Degree, Congruence, Auxiliary Lines. |
![Geometry Problem 1462](../../school-college/5/p1462-newton-theorem-gauss-line-quadrilateral-midpoint-side-diagonal-geogebra-1.jpg) |
Geometry Problem 1462.
Newton-Line, Newton-Gauss Line, Complete Quadrilateral, Midpoints of Sides and Diagonals,
Collinear Points. Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1463](../../school-college/5/p1463-parallelogram-equal-sum-area-triangles-geogebra-1.jpg) |
Geometry Problem 1463.
Parallelogram, Interior Point, Opposite Triangles with Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1464](../../school-college/5/p1464-quadrilateral-midpoint-equal-sum-area-1.jpg) |
Geometry Problem 1464.
Quadrilateral, Interior Point, Midpoint of Sides, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1465](../../school-college/5/p1465-tangential-quadrilateral-incenter-equal-sum-area-1.jpg) |
Geometry Problem 1465.
Tangential Quadrilateral, Incenter, Inscribed Circle, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1466](../../school-college/5/p1466-tangential-quadrilateral-newton-line-incenter-geogebra-ipad-1.jpg) |
Geometry Problem 1466.
Tangential Quadrilateral, Newton Line, Incenter, Midpoint, Diagonal, Collinear Points.
Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1467](../../school-college/5/p1467-square-rectangle-equal-area-geogebra-ipad-1.jpg) |
Geometry Problem 1467.
Square, Rectangle, Triangle, Area. |
![Dynamic Geometry 1468](../../school-college/5/p1468-steiner-theorem-triangle-inradius-exradius-circumradius-ipad-geogebra-1.jpg) |
Dynamic Geometry 1468.
Steiner's Theorem, Triangle, Circumradius, Inradius, Sum of Exradii, Step-by-step Illustration. |
![Dynamic Geometry 1469](../../school-college/5/p1469-triangle-inradius-circumradius-midpoint-geogebra-1.jpg) |
Dynamic Geometry 1469.
Triangle, Circumradius, Inradius, Midpoints, Arcs, Sum of Distances, Step-by-step Illustration. |
![Dynamic Geometry 1470](../../school-college/5/p1470-tangential-quadrilateral-circle-rhombus-geogebra-1.jpg) |
Dynamic Geometry 1470.
Tangential Quadrilateral, Incircles, Tangent,
Parallel, Rhombus, Step-by-step Illustration. |
![Dynamic Geometry 1471](../../school-college/5/p1471-equilateral-triangle-incenter-concurrent-geogebra-ipad-1.jpg) |
Dynamic Geometry 1471.
Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines, Step-by-step Illustration. |
![Dynamic Geometry 1472](../../school-college/5/p1472-cyclic-quadrilateral-perpendicular-diagonal-rectangle-geogebra-1.jpg) |
Dynamic Geometry 1472.
Cyclic Quadrilateral, Perpendicular Diagonals, Rectangle, Step-by-step Illustration. |
![Dynamic Geometry 1473](../../school-college/5/p1473-kosnita-theorem-triangle-circumcenter-concurrent-geogebra-1.jpg) |
Dynamic Geometry 1473.
Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Step-by-step Illustration. |
![Dynamic Geometry 1474](../../school-college/5/p1474-butterfly-theorem-circle-chord-midpoint-geogebra-ipad-1.jpg) |
Dynamic Geometry 1474.
Butterfly Theorem, Circle, Chords, Midpoints, Step-by-step Illustration. |
![Dynamic Geometry 1475](../../school-college/5/p1475-clifford-intersecting-circles-theorem-geogebra-1.jpg) |
Dynamic Geometry 1475.
Clifford Intersecting Circles Theorem, Step-by-step Illustration, GeoGebra, iPad. |
![Dynamic Geometry 1476](../../school-college/5/p1476-droz-farny-line-theorem-orthocenter-collinear-midpoint-geogebra-1.jpg) |
Dynamic Geometry 1476.
Droz-Farny Line Theorem, Triangle, Orthocenter, Perpendicular, Collinear Midpoints, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1477](../../school-college/5/p1477-miquel-pentagram-theorem-circumcircle-5-concyclic-geogebra-ipad-1.jpg) |
Dynamic Geometry 1477.
Miquel's Pentagram Theorem, Pentagon, Triangle, Circumcircles, Concyclic Points, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1479](../../school-college/5/p1479-triangle-circumcircle-angle-perpendicular-bisector-parallel-concyclic-geogebra-ipad-1.jpg) |
Dynamic Geometry 1479.
Triangle, Circumcircle, Angle Bisector,
Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines,, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1479](../../school-college/5/p1479-triangle-circumcircle-angle-perpendicular-bisector-parallel-concyclic-geogebra-ipad-1.jpg) |
Dynamic Geometry 1479.
Triangle, Circumcircle, Angle Bisector,
Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines,, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1480](../../school-college/5/p1480-cyclic-polygon-triangulation-sum-inradii-invariant-geogebra-ipad-1.jpg) |
Dynamic Geometry 1480.
Japanese Theorem for Cyclic Polygon, Triangulation, Non-intersecting Diagonals, Sum of Inradii, Invariant, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1481](../../school-college/5/p1481-5-circumscribed-quadrilateral-tangent-pitot-ipad-1.jpg) |
Dynamic Geometry 1481.
Five Tangential or Circumscribed Quadrilaterals, Pitot Theorem, Congruence, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1482](../../school-college/5/p1482-right-triangle-double-angle-perpendicular-measurement-1.jpg) |
Geometry
Problem 1482.
Right Triangle, Perpendicular, Double Angle, Measurement. |
![Dynamic Geometry 1483](../../school-college/5/p1483-isosceles-right-triangle-excenter-perpendicular-measurement-1.jpg) |
Geometry
Problem 1483.
Isosceles Right Triangle, Excenter, Perpendicular, Measurement. |
![Geometry Problem 1484](../../school-college/5/p1484-right-triangle-three-incircles-inradius-altitude-measurement-1.jpg) |
Geometry
Problem 1484.
Right Triangle, Altitude, Incircles, Inradius, Measurement. |
![Geometry Problem 1485](../../school-college/5/p1485-triangle-altitude-orthocenter-circle-tangent-measurement-1.jpg) |
Geometry
Problem 1485.
Triangle, Orthocenter, Altitude, Circle, Diameter, Tangent, Measurement. |
![Geometry Problem 1486](../../school-college/5/p1486-right-tringle-altitude-incircle-tangent-measurement-1.jpg) |
Geometry
Problem 1486.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
![Geometry Problem 1487](../../school-college/5/p1487-right-triangle-altitude-angle-bisector-measurement-1.gif) |
Geometry
Problem 1487.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
![Geometry Problem 1488](../../school-college/5/p1488-right-triangle-altitude-angle-bisector-measurement-1.gif) |
Geometry
Problem 1488.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
![Geometry Problem 1489](../../school-college/5/p1489-right-triangle-angle-bisector-perpendicular-measurement-1.gif) |
Geometry
Problem 1489.
Right Triangle, Angle Bisectors, Perpendicular, Measurement. |
![Geometry Problem 1490](../../school-college/5/p1490-triangle-cevian-incircle-tangent-measurement-1.gif) |
Geometry
Problem 1490.
Triangle, Cevian, Incircle, Tangent, Measurement. |
![Geometry Problem 1491](../../school-college/5/p1491-cyclic-quadrilateral-diagonal-incircle-angle-measurement-1.gif) |
Geometry
Problem 1491.
Cyclic Quadrilateral, Diagonal, Incircle, Angle, Measurement. |
![Geometry Problem 1492](../../school-college/5/p1492-right-triangle-altitude-incenter-angle-measurement-1.gif) |
Geometry
Problem 1492.
Right Triangle, Altitude, Incenters, Angle, Measurement. |
![Geometry Problem 1493](../../school-college/5/p1493-four-squares-vertex-parallelogram-auxliliary-line-1.jpg) |
Geometry
Problem 1493.
Four Squares, Parallelogram, Auxiliary Lines. |
![Geometry Problem 1494](../../school-college/5/p1494-parallelogram-midpoints-octagon-area-1.jpg) |
Geometry
Problem 1494.
Parallelogram, Midpoints, Octagon, Areas. |
![Geometry Problem 1498](../../school-college/5/p1498-intersecting-circles-diameter-common-chord-secant-cyclic-quadrilateral-concyclic-collinear-points-1.jpg) |
Geometry
Problem 1498.
Intersecting Circles, Diameter, Common Chord, Secant, Cyclic Quadrilateral, Concurrent Lines, Concyclic and Collinear Points. |
![Geometry Problem 1498](../../school-college/5/p1499-triangle-angle-congruence-cevian-1.jpg) |
Geometry
Problem 1499.
Triangle, Angles, Cevian, Congruence, Isosceles, Equilateral, Auxiliary Construction. |
![Geometry Problem 1500](../../school-college/5/p1500-circle-tangent-secant-perpendicular-parallel-similarity-cyclic-quadrilateral-1.jpg) |
Geometry
Problem 1500.
Circle, Perpendicular, Tangent, Secant, Cyclic Quadrilateral, Parallel, Similarity, Measurement. |
![Geometry Problem 1501](../../school-college/6/p1501-square-interior-point-distance-equal-angles-measurement-1.jpg) |
Geometry
Problem 1501.
Square, Exterior Point, Congruent Angles, Segment, Measurement. |
![Geometry Problem 1502](../../school-college/6/p1502-rigth-triangle-incircles-measurement-inradius-square-quadrilateral-1.jpg) |
Geometry
Problem 1502.
Right Triangle, Incircle, Inradius, Geometric Mean of 2 Inradii, Angle Bisector, Perpendicular, Tangential Quadrilateral. |
![Geometry Problem 1503](../../school-college/6/p1503-triangle-transversal-line-tangent-incircle-distance-vertices-perpendicular-congruence-1.jpg) |
Geometry
Problem 1503.
Triangle, Incircle, Tangent, Congruence, Perpendicular. |
![Geometry Problem 1504](../../school-college/6/p1504-3-squares-equilateral-triangle-angle-parallel-1.jpg) |
Geometry
Problem 1504.
Squares, Equilateral Triangle, Parallel, Angle. |
![Geometry Problem 1505](../../school-college/6/p1505-three-parallel-rays-angles-corresponding-alternate-consecutive-bisector-1.jpg) |
Geometry
Problem 1505.
Parallel Rays, Angles, and Bisector, Corresponding, Alternate, Conjugate. |
![Geometry Problem 1506](../../school-college/6/1506-two-parallel-lines-angles-corresponding-alternate-1.jpg) |
Geometry
Problem 1506.
Parallel Rays, Angles, Corresponding, Alternate. |
![Geometry Problem 1507](../../school-college/6/p1507-discover-isosceles-triangle-doble-angle-measurement-altitude-perpendicular-1.jpg) |
Geometry
Problem 1507.
Understanding Triangle Geometry: Double Angles, Altitudes, and Measurements. Difficulty Level: High School. |
![Geometry Problem 1508](../../school-college/6/p1508-isosceles-equilateral-triangle-angles-quadrilateral-60-80-degrees-1.jpg) |
Geometry
Problem 1508.
Understanding Triangle Geometry: Isosceles, Equilateral, Quadrilateral, Angular. Difficulty Level: High School. |
![Geometry Problem 1509](../../school-college/6/p1509-square-trapezoid-congruence-measurement-1.jpg) |
Geometry
Problem 1509 and Poem.
Congruence of Triangles in a Trapezoid and a Square, Measurement. Difficulty Level: High School. |
![Geometry Problem 1510](../../school-college/6/p1510-three-triangle-congruence-perimeter-measurement-poem-1.jpg) |
Geometry
Problem 1510 and Poem.
Congruence of Triangles, Perimeter, Measurement. Difficulty Level: High School. |
![Geometry Problem 1511](../../school-college/6/p1511-isosceles-triangle-point-on-the-extensionof-base-distance-measurement-altitude-congruence-poem-1.jpg) |
Geometry
Problem 1511 and Poem.
Finding the Altitude of an Isosceles Triangle Using Distances from a Point on the Extension of the Base. Difficulty Level: High School. |
![Geometry Problem 1512](../../school-college/6/p1512-triangle-median-cevian-given-ratio-midpoint-midline-theorem-poem-1.jpg) |
Geometry
Problem 1512 and a Thematic Poem.
Finding the Length of a Segment in a Triangle with a Median and a Cevian with Given Ratio. Difficulty Level: High School. |
![Geometry Problem 1513](../../school-college/6/p1513-right-trapezoid-solving-base-double-angle-sum-two-sides-thematic-poem-1.jpg) |
Geometry
Problem 1513 and a Thematic Poem.
Solving the base in a Right Trapezoid with Double Angle and Sum of Two
Sides. Difficulty Level: High School. |
![Geometry Problem 1514](../../school-college/6/p1514-calculate-distance-point-line-regular-hexagon-interior-squares-1.jpg) |
Geometry
Problem 1514 and a Thematic Poem.
Discover the Secret to Finding Distances in Regular Hexagons with Interior Squares. Difficulty Level: High School. |
![Geometry Problem 1515](../../school-college/6/p1515-distance-centroid-triangle-median-exterior-line-perpendicular-1.jpg) |
Geometry
Problem 1515 and a Thematic Poem.
Mastering Triangle Distance Calculation: Find the Distance from the Intersection of Medians to an Exterior Line. Difficulty Level: High School. |
![Geometry Problem 1516](../../school-college/6/p1516-solving-for-the-length-of-a-side-in-an-equiangular-hexagon-1.jpg) |
Geometry
Problem 1516 and a Thematic Poem.
Finding the Length of a Side in an Equiangular Hexagon with Given Three Side Lengths. Difficulty Level: High School. |
![Geometry Problem 1517](../../school-college/6/p1517-unlock-triangle-side-length-solving-median-angles-1.jpg) |
Geometry
Problem 1517 and a Thematic Poem.
Unlocking Triangle Side Length: Solving with a Median and Two Angles. Difficulty Level: High School. |
![Geometry problems 1401-1410](geometry_problems_1401_1410_1.jpg)
![Online education degree: geometry problems 1-10](../geometry_problems_1_10.jpg)
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| by Antonio Gutierrez
Last updated: Mar 2, 2023
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