Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem provides the coordinates of four points: $P(-10, 7)$, $Q(2, 1)$, $U(4, 6)$, and $V(6, 1)...
Coordinate GeometryPointsDistancesSlopes
2025/4/27
The problem provides four points: $P(-3, -2)$, $Q(9, 1)$, $U(3, 6)$, and $V(5, -2)$. The problem is ...
Coordinate GeometryLinesSlopePerpendicular Lines
2025/4/27
We are given two points W(3, 2) and X(4, -3). We need to find the slope of the line passing through...
SlopeCoordinate GeometryLines
2025/4/27
The problem gives two points, $A(0, 2)$ and $B(7, 3)$. We need to find the distance between these tw...
Distance FormulaCoordinate GeometryEuclidean Distance
2025/4/27
The problem states that point Y is 15 km south of point X, and point Z is 20 km from X on a bearing ...
TrigonometryPythagorean TheoremBearingsRight TrianglesDistance Calculation
2025/4/27
The problem asks what $m(\angle BAF)$ equals when $\angle BAC$ is bisected using a compass. We need ...
Angle BisectorAnglesGeometric Proof
2025/4/27
The problem asks us to find the image of the point $(a, b)$ when reflected in the $y$-axis.
ReflectionCoordinate GeometryTransformations
2025/4/27
The problem states that the length of the middle base of a trapezium is 15 cm and the height is 8 cm...
TrapeziumAreaGeometric Formulas
2025/4/27
The problem asks us to find the image of the point $(5, 0)$ after a rotation of $90^\circ$ countercl...
RotationCoordinate GeometryLinear AlgebraTransformations
2025/4/27
Three identical circular coins are lined up in a row. The distance between the centers of the first ...
CirclesDistanceRadiusLinear Equations
2025/4/27