Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem states that triangle $MNP$ is equilateral, and we are given the expressions for the side...
Equilateral TrianglePerimeterAlgebraic Equations
2025/5/16
The problem asks to find the distance between the point $(-2, 3)$ and the line $y = 2x + 1$.
Coordinate GeometryDistance FormulaLinesPoint-to-Line Distance
2025/5/16
Problem 32: A pool holds 450 cubic feet of water and has a height of 4.2 feet. We need to find the a...
AreaVolumePrismsTrianglesRectanglesSectorsPythagorean Theorem
2025/5/16
The problem asks to find the length of the midsegment $MN$ of a trapezoid $ABCD$. The lengths of the...
TrapezoidMidsegmentGeometric Formulas
2025/5/16
The problem states that the end of a charger plugged into a phone is an isosceles trapezoid. Given t...
GeometryTrapezoidIsosceles TrapezoidAnglesAngle Measurement
2025/5/16
We are given a rhombus $QRST$ and need to find the measures of angles 1, 3, and 4. We are given that...
RhombusAnglesGeometric PropertiesTrianglesAngle MeasurementDiagonals
2025/5/16
We are given a quadrilateral $ABCD$ with side lengths $AD = 4y - 20$, $AB = 8x - 34$, $BC = 6x - 4$,...
ParallelogramQuadrilateralAlgebraSolving Equations
2025/5/16
The problem states that $ABCD$ is a parallelogram. We are given that $m\angle DAB = 32^\circ$ and we...
ParallelogramAnglesGeometric Proof
2025/5/16
The problem asks to find the value of $y$ in a parallelogram, given that $m\angle D = (5y + 31)^\cir...
ParallelogramAnglesSolving EquationsGeometric Properties
2025/5/16
The problem asks to find the value of $x$ in a pentagon, where four of the angles are given as $68^\...
PolygonsInterior AnglesPentagon
2025/5/16