Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given several math problems to solve, including simplifying radicals, finding the length of t...

Pythagorean TheoremSimplifying RadicalsRight Triangles
2025/4/1

The problem is about vector calculations and the dot product on a line $(\Delta)$ with a coordinate ...

VectorsDot ProductCoordinate GeometryAlgebraic MeasuresProjectionsAngles between vectors
2025/4/1

The image contains notes written in French about geometric transformations, specifically "glissement...

Geometric TransformationsTranslationsEuclidean GeometryParallel LinesAngle Preservation
2025/4/1

We are given a pentagon ABCDE with angles $A = 120^\circ$, $C = 110^\circ$, and $D = 135^\circ$. We...

PolygonsPentagonsAngle SumGeometric Proof
2025/4/1

The problem asks to find the values of the angles marked with letters in two diagrams.

AnglesLinear PairsVertically Opposite AnglesParallel LinesAlternate Interior AnglesCorresponding AnglesSupplementary Angles
2025/4/1

The problem requires us to use the given figure to write a proof for each of the listed theorems: Th...

GeometryPerpendicular LinesAnglesRight AnglesVertical AnglesLinear PairsProofs
2025/4/1

We are given that $\angle 1$ and $\angle 2$ are supplementary, $\angle 3$ and $\angle 4$ are supplem...

Geometry ProofsAnglesSupplementary AnglesCongruent AnglesGeometric Reasoning
2025/4/1

The problem states that $m\angle 11 = x - 4$ and $m\angle 12 = 2x - 5$. We are given a diagram where...

AnglesLinear PairSupplementary AnglesAlgebra
2025/4/1

The problem states that angle 6 and angle 8 are complementary. The measure of angle 8 is given as 47...

AnglesComplementary AnglesAngle Measurement
2025/4/1

The problem states that $\triangle PYX$ is similar to $\triangle PRQ$. Given the lengths $PY = 2$, $...

Similar TrianglesTriangle AreaProportions
2025/3/31