Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem requires us to find the value of $k$ given that the sum of two angles, $(9k+6)^\circ$ an...
AnglesStraight AngleAlgebraic EquationsSolving for k
2025/3/27
Two angles, $\angle 1$ and $\angle 2$, are supplementary. The measure of $\angle 1$ is $(4x - 23)^\...
AnglesSupplementary AnglesAlgebraSolving Equations
2025/3/27
Angles 1 and 2 are supplementary angles. The measure of angle 1 is given by $m\angle 1 = (2x-4)^\cir...
AnglesSupplementary AnglesAlgebraic Equations
2025/3/27
Point T is on the line segment SU. Given $TU = x - 1$, $SU = 3x - 7$, and $ST = x + 7$, we want to f...
Line SegmentsAlgebraSolving EquationsSegment Addition Postulate
2025/3/27
We are given a triangle $OAB$ with a line segment $HK$ parallel to $AB$, where $H$ is on $OA$ and $K...
Similar TrianglesProportionsTriangle Properties
2025/3/26
We are given a triangle with some line segments inside it. We are given the lengths $OH = 9$ cm, $HA...
Similar TrianglesTriangle PropertiesProportions
2025/3/26
We are given a triangle $OAB$ with a line segment $HK$ inside it such that $H$ lies on $OA$ and $K$ ...
TrianglesSimilar TrianglesGeometric RatiosProblematic Data
2025/3/26
Given that $m\angle RSW = m\angle TSU$ and $m\angle RST = m\angle WSU$, we need to prove that $m\ang...
AnglesProofGeometric ProofAngle Addition Postulate
2025/3/26
Given two points $M(3, -2)$ and $N(-5, -1)$, and the vector equation $\vec{MP} = \frac{1}{2}\vec{MN}...
VectorsCoordinate GeometryVector Equations
2025/3/26
The problem asks to identify which of the given conditions imply that vector $a$ is parallel to vect...
VectorsParallel VectorsVector MagnitudeScalar Multiplication
2025/3/26