Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The problem provides a circle with center $D$. $PM$ and $NL$ are chords of the circle. The length of...

CirclesChordsArcsAnglesGeometric Proof
2025/5/5

We are given a circle with center $D$. $AB$ and $CB$ are chords of the circle. We are given that $\a...

CirclesChordsAnglesArcsCentral Angle
2025/5/5

We are given three geometry problems involving circles, arcs, and chords. 1. Find $x$ in the first f...

CirclesArcsChordsInscribed Angle TheoremIsosceles TriangleCentral Angle
2025/5/5

We are asked to solve three separate math problems: Problem 4: Given a circle with a diameter of 4 c...

CirclesRadiusDiameterCircumferenceChordsRight Triangles
2025/5/5

The problem asks us to identify a diameter, a radius, and a chord in the given circle with center M....

CirclesDiameterRadiusChord
2025/5/5

The problem asks us to describe the transformations required to map a solid circle onto a dashed cir...

CirclesTransformationsTranslationDilationSimilarity
2025/5/5

The problem states that quadrilateral $ABCD$ is inscribed in a circle. The angles are given as follo...

GeometryCyclic QuadrilateralAngles in a CircleAlgebraSolving Equations
2025/5/4

We are given a quadrilateral $ABCD$ inscribed in a circle. The side lengths are given as $AB = 6x$, ...

Cyclic QuadrilateralPtolemy's TheoremAlgebraic EquationsGeometric Properties
2025/5/4

We are given a circle with inscribed triangle $YWX$. We know that $\angle YWX = (x+14)^\circ$ and $\...

TrianglesAnglesCircleInscribed Triangle
2025/5/4

We are given a circle with center T. $PL$ and $KM$ are diameters of the circle. We need to find the ...

CircleAnglesArcsDiametersCentral Angle
2025/5/4