Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a circle with intersecting chords $SP$ and $TR$. The measure of angle $SUT$ is $47^\cir...
Circle GeometryIntersecting ChordsArc MeasureAngle Measure
2025/5/9
We are given a circle with intersecting chords $AC$ and $BD$. The measure of arc $AB$ is $41^\circ$ ...
Circle GeometryAngles in a CircleIntersecting ChordsArc Measure
2025/5/9
The problem asks us to find the measure of angle 1 ($m\angle 1$) in a circle, where angle 1 is forme...
Circle GeometryAngles in a CircleIntercepted Arcs
2025/5/9
We are given a circle with two intersecting chords, $\overline{PR}$ and $\overline{LQ}$. We are give...
CirclesChordsAnglesInscribed AnglesVertical AnglesExterior Angle Theorem
2025/5/9
We need to find the measure of angle $R$ (denoted as $m\angle R$) given a circle with tangents inter...
CirclesTangentsAnglesArc Measure
2025/5/9
We need to find the measure of angle $R$, denoted as $m\angle R$. We are given that the segments tha...
Circle GeometryTangentsAngles in a CircleArcs
2025/5/9
The problem asks us to identify a tangent line, a secant line, and a chord in the given circle. We a...
CirclesTangent LinesSecant LinesChordsGeometric Definitions
2025/5/9
The problem asks to identify a secant line, a chord, and a tangent line based on the given diagram o...
CirclesSecant LinesChordsTangent LinesGeometric DefinitionsDiagram Analysis
2025/5/9
We are given the angle $CBC = 100$ and the angle $AAC = 4$. We need to find the measure of angle $AB...
TriangleAnglesAngle Sum Property
2025/5/9
The problem asks to find the volume of a pentagonal pyramid. The base is a regular pentagon with sid...
VolumePyramidPentagonArea Calculation3D Geometry
2025/5/8