Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks us to construct an equilateral triangle with a side length of 7 cm using a compass ...
Geometric ConstructionEquilateral TriangleCompass and Straightedge
2025/6/4
The problem asks to construct an equilateral triangle using a pair of compass and a pencil, given a ...
Geometric ConstructionEquilateral TriangleCompass and Straightedge
2025/6/4
The problem asks to find the value of $p$ in a triangle with angles $4p$, $6p$, and $2p$.
TriangleAnglesAngle Sum PropertyLinear Equations
2025/6/4
The angles of a triangle are given as $2p$, $4p$, and $6p$ (in degrees). We need to find the value o...
TrianglesAngle Sum PropertyLinear Equations
2025/6/4
The problem asks to construct an equilateral triangle with sides of length 7 cm using a compass and ...
ConstructionEquilateral TriangleCompass and Straightedge
2025/6/4
We are given two polygons, $P$ and $Q$, on a triangular grid. We need to find all sequences of trans...
TransformationsRotationsReflectionsTranslationsGeometric TransformationsPolygons
2025/6/4
We need to describe the domain of the following two functions geometrically: 27. $f(x, y, z) = \sqrt...
3D GeometryDomainSphereHyperboloidMultivariable Calculus
2025/6/3
We need to find the gradient of the line passing through the points $P(2, -3)$ and $Q(5, 3)$.
Coordinate GeometryGradientSlope of a Line
2025/6/3
The problem presents a diagram with a circle and some angles. Given that $\angle PMQ = 34^\circ$ and...
Circle GeometryAnglesCyclic QuadrilateralsInscribed Angles
2025/6/3
In the given diagram, we are given that $∠PMQ = 34°$ and $∠NQM = 28°$. We need to find the measure o...
AnglesCirclesCyclic QuadrilateralsTriangles
2025/6/3