Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The problem asks us to find the value of $x$ in the given circle. We are given that the angle at $T$...

CirclesAnglesIsosceles TriangleArcsInscribed Angles
2025/4/29

We are given a circle with center at some point. We have a triangle $\triangle RST$ inscribed in the...

GeometryTrianglesIsosceles TriangleAnglesCircles
2025/4/29

We are given a circle with center at a point (let's call it O). We have three points on the circumfe...

CirclesTrianglesIsosceles TrianglesAnglesAngle Measurement
2025/4/29

We are given a circle with center at some point. We have three points on the circumference of the ci...

CirclesArcsAnglesInscribed Angle TheoremIsosceles Triangle
2025/4/29

The problem is to identify a major arc in the given circle. A major arc is an arc of a circle having...

CircleArcMajor ArcAngle MeasurementDiameter
2025/4/29

The problem asks us to find the arc length $l$ and the area $S$ of a sector with radius 4 and centra...

Arc LengthArea of a SectorRadiansCircles
2025/4/29

The problem asks to find the angles among $420^{\circ}$, $790^{\circ}$, $1130^{\circ}$, $-70^{\circ}...

AnglesTrigonometryTerminal SideAngle Measurement
2025/4/29

We are given a diagram with a triangle and a transversal line intersecting one of its sides. We are ...

TrianglesIsosceles TriangleParallel LinesAnglesSupplementary AnglesExterior Angle
2025/4/29

We are given a diagram of a quadrilateral with two sides parallel to each other. The two parallel si...

GeometryQuadrilateralsTrapezoidsIsosceles TrapezoidAnglesExterior AnglesSupplementary Angles
2025/4/29

The problem states that Susan is trying to find angle $b$. She first finds angle $a$ and then finds ...

AnglesParallel LinesCorresponding AnglesAlternate Interior AnglesStraight Lines
2025/4/29