Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks us to name the given angle in three different ways. The angle has vertex S, and poi...
AnglesGeometric Notation
2025/4/18
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