Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given three points $P(-3, 1)$, $Q(3, 4)$, and $R$ in a Cartesian plane. (i) We need to find t...
VectorsCoordinate GeometryVector Operations
2025/7/8
The problem provides the coordinates of three points $A(1,2)$, $B(4,2)$, and $C(4,5)$. A vector $n =...
Coordinate GeometryLinesCirclesTrianglesVectorsDistance FormulaReflectionParametric Equations
2025/7/8
We are given the coordinates of point B as $(2, 7)$ and the vector $\vec{AB} = \begin{pmatrix} -4 \\...
VectorsCoordinate Geometry
2025/7/7
The problem states that $PQ = 20$ cm and asks to find the length of $MN$ based on the given figure. ...
TriangleMidpoint TheoremParallel LinesSimilar TrianglesEquilateral Triangle
2025/7/7
We are given two sides of a triangle, with lengths 57 and 55. We need to find the range of possible ...
Triangle InequalityTrianglesSide Lengths
2025/7/4
The problem asks to find the value of $n$ in triangle $PQR$, where the measures of the angles are gi...
TriangleAngle SumTriangle InequalityAngle-Side Relationship
2025/7/4
The problem asks to express the vectors $\overline{MK}$, $\overline{NL}$, $\overline{NK}$, and $\ove...
VectorsVector AdditionGeometric Vectors
2025/7/3
We are given two diagrams containing vectors. We need to find which options are equal to the resulta...
VectorsVector AdditionVector Decomposition
2025/7/3
The problem asks us to identify the vertex and axis of symmetry of a given parabola from its graph, ...
ParabolaVertexAxis of SymmetryGraphing
2025/7/3
The problem asks us to find the slope of the line shown in the graph.
Linear EquationsSlopeCoordinate Geometry
2025/7/3