Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The area of a square is given as $121 m^2$. We need to find the length of one side of the square.
AreaSquaresSquare RootsMeasurement
2025/3/24
In an angle with vertex $A$, a point $M$ is chosen. Let $P$ and $Q$ be the feet of the perpendicular...
Euclidean GeometryAnglesCyclic QuadrilateralPerpendicular Lines
2025/3/24
The problem describes a geometrical figure and asks three questions: a) Which two line segments are ...
Parallel LinesLine SegmentsPerpendicular LinesGeometric Figures
2025/3/24
The problem asks three questions about the line segments in the given figure. a) Which two line segm...
Line SegmentsParallel LinesPerpendicular LinesGeometric Figures
2025/3/24
The problem asks to determine whether each of the given statements describes parallel lines or perpe...
LinesParallel LinesPerpendicular Lines2D GeometryAngles
2025/3/24
The problem asks us to mark the given line segments in pairs A, B, and C to indicate the following: ...
LinesParallel LinesPerpendicular LinesLine SegmentsCongruenceGeometric Notation
2025/3/24
We are given a right-angled triangle $ABC$ with a right angle at $B$. The hypotenuse $AC$ has length...
TrigonometryRight TriangleAnglesSineCosineTangentSurdsIsosceles Triangle
2025/3/24
The image shows the coordinates of a point in the form $(x, y)$. We need to identify the $x$ and $y$...
Coordinate GeometryPointsCoordinates
2025/3/24
We are given a right triangle $ABC$ with $\angle B = 90^{\circ}$. We are also given that $AC = 12$ c...
Right TrianglesTrigonometryTrigonometric RatiosSurd formSupplementary Angles
2025/3/23
The problem has two parts. a) Prove that $\Omega$ belongs to the line (OG) and that it is the midpoi...
Euclidean GeometryTriangle GeometryEuler CircleCircumcircleCentroidOrthocenterEuler LineVector Geometry
2025/3/23