Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
ABCD are points on the circumference of a circle with center O. PD is a tangent to the circle at D. ...
CirclesAnglesCyclic QuadrilateralsTangentsGeometry
2025/4/9
ABCD are points on the circumference of a circle, with center O. PD is a tangent at D. Angle $ADB = ...
CirclesAnglesTangentsCyclic QuadrilateralsGeometry
2025/4/9
ABCD are points on the circumference of a circle, center O. PD is a tangent at D. Given that angle A...
Circle TheoremsAnglesTangentsGeometry
2025/4/9
We are given a cyclic quadrilateral $ABCD$ inscribed in a circle. We are given that $\angle DBC = 47...
Cyclic QuadrilateralTangentsAngles in a CircleGeometry
2025/4/9
We are given a cyclic quadrilateral $ABCD$ inscribed in a circle. We know that $\angle DBC = 47^\cir...
Cyclic QuadrilateralAngles in a CircleAngle ChasingGeometric Proof
2025/4/9
We are given two points A and B with coordinates A(3, 2) and B(5, 6). We need to find the column vec...
VectorsCoordinate GeometryVector Operations
2025/4/9
The problem states that Noah has 50 meters of fencing to enclose a rectangular garden. We need to dr...
PerimeterRectanglesAlgebraic Equations
2025/4/9
ABCD is a parallelogram and AX is parallel to CY. We need to prove: (i) $\angle AXB = \angle CYD$ (i...
ParallelogramsCongruenceAnglesParallel LinesTriangles
2025/4/9
The problem describes a piece of land consisting of a rectangle and a semi-circle. We need to find: ...
PerimeterAreaRectangleSemi-circleRatioTriangle
2025/4/9
The problem asks us to find the volume of a parallelepiped defined by three edge vectors. The edge v...
3D GeometryVectorsParallelepipedScalar Triple ProductDeterminantsVolume
2025/4/9