Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The image shows a geometric diagram on a chalkboard. It appears to depict a circle with an inscribed...

Circle TheoremsTangent-Secant TheoremInscribed TriangleAngles in a CircleSimilar Triangles
2025/5/18

Given points $A(0, 1, 1)$, $B(2, 0, 2)$, and $C(3, -1, -1)$ in a right-handed orthonormal coordinate...

VectorsCross ProductPlane EquationsLine EquationsSphere Equations3D Geometry
2025/5/18

Given a right triangle $ABC$, let $H$ be a point on $BC$ such that $AH$ is perpendicular to $BC$. Le...

TrianglesRight TrianglesSimilarityGeometric ProofsEuclidean Geometry
2025/5/18

The problem asks to find the size of angle $x$ given a straight line with angles $30^\circ$, $x$, an...

AnglesStraight LineAngle SumDegree
2025/5/17

The problem asks to find the size of angle $x$ given that the angles $50^\circ$, $x$, and $35^\circ$...

AnglesStraight LineAngle Sum
2025/5/17

The problem asks to find the size of angle $x$ given that the angles $50^\circ$, $x$, and $35^\circ$...

AnglesStraight LineAngle SumAlgebra
2025/5/17

The problem asks us to find the size of angle $g$ in the given circle. The circle is divided into th...

AnglesCirclesAngle Sum Property
2025/5/17

The problem asks to find the size of angle $p$. We are given that a straight line is divided into th...

AnglesStraight LineAngle SumElementary Geometry
2025/5/17

We need to find the size of angle $h$. The image shows a circle with two angles. One angle is labele...

AnglesCirclesAngle Measurement
2025/5/17

The problem asks us to find the size of angle $n$. The given diagram shows that angle $n$ and an ang...

AnglesStraight LinesAngle Calculation
2025/5/17