Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are asked to find the size of angle $x$. The diagram shows a straight line with three angles on o...
AnglesStraight LineAngle SumEquation Solving
2025/6/8
We are given a circle divided into three sections with angles $100^\circ$, $140^\circ$, and $g$. We ...
CirclesAnglesAngle SumDegree Measurement
2025/6/8
We are asked to find the value of angle $p$ in the given diagram. The angles $40^\circ$, $85^\circ$ ...
AnglesStraight LineAngle Sum
2025/6/8
The problem asks us to find the size of angle $h$, given that the angle adjacent to it is $135^\circ...
AnglesAngle MeasurementGeometric Shapes
2025/6/8
The problem asks us to find the size of angle $n$. We are given that the angle next to angle $n$ is ...
AnglesStraight LineSupplementary AnglesAngle Calculation
2025/6/8
We are given two planes in 3D space, defined by the following equations: Plane $\alpha$: $3x - y + 2...
3D GeometryPlanesPlane EquationsIntersection of PlanesParallel PlanesIdentical Planes
2025/6/8
In triangle $ABC$, $AD$ is the angle bisector of angle $A$, and $D$ lies on $BC$. We need to prove t...
TriangleAngle Bisector TheoremGeometric ProofSimilar Triangles
2025/6/8
We are given a figure where line segment $AB$ is parallel to line segment $CD$. We are also given th...
Parallel LinesAnglesGeometric ProofAngle Properties
2025/6/7
The problem states that the area of triangle OFC is $33 \text{ cm}^2$. We need to find the area of t...
AreaTrianglesSimilar TrianglesRatio and Proportion
2025/6/6
We are asked to calculate the volume of a cylinder. The diameter of the circular base is $8$ cm, and...
VolumeCylinderRadiusDiameterPiUnits of Measurement
2025/6/5