Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks to find the length of the missing leg $b$ in a right triangle, given the lengths of...
Pythagorean TheoremRight TrianglesSquare RootsGeometry
2025/4/6
ABCD is a parallelogram. I and J are the midpoints of segments [AB] and [CD] respectively. 1) Prove ...
ParallelogramsVectorsMidpointsGeometric Proofs
2025/4/6
The problem requires us to find the perimeter of the given polygon. The polygon has five sides with ...
PerimeterPolygon
2025/4/6
The problem asks to find the perimeter of a rectangle with length 28 ft and width 13 ft.
PerimeterRectangleGeometric Formulas
2025/4/6
We are given that ray $VX$ bisects angle $WVY$ and ray $VY$ bisects angle $XVZ$. We need to prove th...
Angle BisectorGeometric ProofCongruenceTransitive Property
2025/4/5
ABCD is a parallelogram. I and J are the midpoints of segments [AB] and [CD] respectively. 1) Prove ...
ParallelogramVectorsMidpointCollinearityGeometric Proof
2025/4/5
The problem is about geometric properties of a triangle ABC. 1) a) Construct points $M$ and $N$ such...
VectorsTriangle GeometryParallel LinesCollinearity
2025/4/5
Given a triangle $ABC$, $M$ is the midpoint of $[AB]$ and $N$ is the midpoint of $[MC]$. 1) a) Place...
VectorsCollinearityTriangle Geometry
2025/4/5
Given a triangle ABC, we are asked to solve three problems related to a point M in the plane. 1) Pro...
VectorsGeometric ProofParallelogramCollinearityPerpendicular BisectorCircle
2025/4/5
The problem requires completing a geometric proof given the following: $\overline{PQ} \cong \overlin...
Geometric ProofCongruenceSegment Addition PostulateProofs
2025/4/5