Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem states that a sector of radius $r$ is cut from a circular plate. This sector is used to ...
ConeSectorAreaCircumferenceLogarithms
2025/4/18
We are given a cyclic quadrilateral $PQRS$ inscribed in a circle. The angles are given as follows: $...
Cyclic QuadrilateralAnglesLinear EquationsSolving Equations
2025/4/18
The problem asks us to find the measurement of the angle shown in the image, using the provided prot...
Angle MeasurementProtractor
2025/4/17
The problem is to complete a proof that triangle $POR$ is congruent to triangle $TSR$. We are given ...
Triangle CongruenceSASGeometric Proofs
2025/4/17
The equation of a circle is given as $(x-2)^2 + (y+3)^2 = 16$. (a) We need to find the center and ra...
CircleEquation of a CircleCoordinate GeometryDistance Formula
2025/4/17
We are given two points A(1, 3) and B(5, 7). We need to find: (a) The slope of the line passing thro...
Coordinate GeometryLinesSlopeParallel LinesPerpendicular LinesLinear Equations
2025/4/17
The problem asks us to find the slope and equation of a line passing through two given points A(1, 3...
Linear EquationsSlopeParallel LinesPerpendicular LinesCoordinate Geometry
2025/4/17
The problem provides the equation of a circle, $(x-2)^2 + (y+3)^2 = 16$. The task is to find the cen...
CircleEquation of a CircleCoordinate Geometry
2025/4/17
The problem provides the equation of a circle, $(x-2)^2 + (y+3)^2 = 16$. Part (a) asks for the cente...
CirclesCoordinate GeometryDistance Formula
2025/4/17
The equation of a circle is given as $(x-2)^2 + (y+3)^2 = 16$. We need to find the center and radius...
CircleEquation of a CircleCoordinate Geometry
2025/4/17