Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
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
The problem states that the equation of a line is given by $y - 5 = m(x + 8)$, where $m$ is the slop...
Linear EquationsPoint-Slope FormCoordinate Geometry
2025/3/26
The problem has two parts. (c) Find the equation of a line with an undefined slope that contains the...
Linear EquationsLinesSlopePoint-Slope FormVertical Lines
2025/3/26
The problem requires us to find the four inequalities that define the unshaded region R on the XOY p...
InequalitiesCoordinate GeometryLinear EquationsRegionsGraphing
2025/3/25
The area of a triangular billboard is 76 square feet. The base is 3 feet longer than twice the altit...
Area of a TriangleUnits Conversion
2025/3/25