Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem states that $Z$ is the centroid of triangle $TRS$. Given that $TO = 7b + 5$, $OR = 13b -...
CentroidTriangleMidpointAlgebraic EquationsLine Segments
2025/7/1
We are given that $m\angle ACT = 15a - 8$ and $m\angle ACB = 74$. Also, S is the incenter of $\trian...
Angle BisectorIncenterTriangleAnglesAlgebraic Manipulation
2025/7/1
$S$ is the circumcenter of triangle $ABC$. $CP = 7x - 1$ and $PB = 6x + 3$. Find the value of $x$ an...
GeometryTriangleCircumcenterMidpointAlgebraic Equations
2025/7/1
We are given a triangle $ABC$ and a point $S$ which is the circumcenter. $CP = 7x - 1$ and $PB = 6x ...
TriangleCircumcenterLine SegmentsAlgebraic Equations
2025/7/1
The problem provides the radius of a circle as $21.5$ cm and a central angle as $316$ degrees. We ne...
CircleArc LengthCircumferenceAngle Measurement
2025/7/1
The problem provides the radius of a circle, $r = 21.5$ cm, and the angle of a sector, $\theta = 316...
CircleSectorArc LengthRadiansAngle Conversion
2025/7/1
The problem asks us to locate the points D, F, E, and G on the graph based on their relative positio...
Coordinate GeometryPointsSpatial ReasoningVisual Estimation
2025/6/30
The image shows a coordinate grid with several points labeled A, B, C, P, Q, X, and Y. The task invo...
Coordinate GeometryCartesian PlanePointsCoordinates
2025/6/30
The problem asks to find the equation of a plane passing through the point $D(1,0,2)$. The expressio...
Planes3D GeometryVector AlgebraEquation of a Plane
2025/6/28
The problem asks to find the equation of a plane that passes through the point $D(1, 0, 2)$ and cont...
Planes3D GeometryEquation of a Planeyz-plane
2025/6/28