Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
Given a triangle $ABC$ which is right-angled at $A$. $M$ and $N$ are the midpoints of segments $BC$ ...
TriangleMidpointSymmetryReflectionQuadrilateralRhombusTranslation
2025/3/18
The problem consists of three independent subproblems, each dealing with geometric transformations. ...
Geometric TransformationsReflectionsTranslationsVectorsComposition of Transformations
2025/3/18
The problem states that the area of a rectangle with sides 12 cm and 8 cm is equal to the area of a ...
AreaRectangleSquareGeometrySquare Root
2025/3/18
We are given a quadrilateral $ABCD$. We need to find the intersection point $P$ between the side $AD...
GeometryQuadrilateralAngle BisectorGeometric ConstructionRuler and Compass
2025/3/18
The problem presents the equation $x^2 = -12y$. We need to find the form of this equation. It looks ...
ParabolaConic SectionsEquation of a ParabolaVertexFocusDirectrix
2025/3/18
The problem asks to determine the slope (coefficient directeur in French) of each of the lines (D), ...
Linear EquationsSlopeCoordinate GeometryLines
2025/3/17
The bearings of ships A and B from a point P are 225° and 116° respectively. Ship A is 3.9 km from s...
TrigonometryLaw of SinesBearingsTriangles
2025/3/17
The bearings of ships A and B from port P are $225^{\circ}$ and $116^{\circ}$ respectively. Ship A i...
TrigonometryBearingsSine RuleTrianglesAngle Calculation
2025/3/17
The problem describes the positions of two ships, A and B, relative to a port P. The bearing of ship...
TrigonometryLaw of SinesBearingsTriangle Geometry
2025/3/17
The bearings of ships A and B from point P are 225 degrees and 118 degrees respectively. The distanc...
TrigonometryBearingSine RuleTriangleAngles
2025/3/17