Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
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
The Pentagon building has five congruent sides. We are given that one side is $921$ feet long. We ne...
PerimeterPentagonGeometric Shapes
2025/4/5
The problem asks to find several vector projections given the vectors $u = i + 2j$, $v = 2i - j$, an...
Vector ProjectionVectorsLinear Algebra
2025/4/5
Given points $A(2, 0, 1)$, $B(0, 1, 3)$, and $C(0, 3, 2)$, we need to: a. Plot the points $A$, $B$, ...
Vectors3D GeometryDot ProductSpheresPlanesRight Triangles
2025/4/5