Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks to find the endpoints of the midsegment of trapezoid $ABCD$, where $AD$ is parallel...
TrapezoidMidsegmentCoordinate GeometryMidpoint Formula
2025/3/13
We are given a kite $WXYZ$. We are given $m\angle WXY = 120^\circ$, $m\angle WZY = (4x)^\circ$, and ...
KiteQuadrilateralAngle PropertiesAngle SumSolving Equations
2025/3/13
We are given a trapezoid $ABCD$. We are given that $m\angle ABC = (4x + 11)^\circ$ and $m\angle DAB ...
TrapezoidIsosceles TrapezoidAngle PropertiesAlgebra
2025/3/13
The problem states that $ABCD$ is an isosceles trapezoid. The length of diagonal $AC$ is given by $3...
Isosceles TrapezoidDiagonalsEquation SolvingAlgebra
2025/3/13
The problem asks to classify quadrilaterals as trapezoids, isosceles trapezoids, or kites, based on ...
QuadrilateralsTrapezoidsIsosceles TrapezoidsKitesGeometric PropertiesShape Classification
2025/3/13
The problem states that in trapezoid $ABCD$, $PQ$ is the midsegment. Given that $DC = 18$ and $PQ = ...
TrapezoidMidsegmentGeometric Formulas
2025/3/13
We are given a trapezoid $HJKT$. $TS$ is the midsegment of the trapezoid. We are given that $HJ = 14...
TrapezoidMidsegmentGeometric Formulas
2025/3/13
The given figure is a trapezoid $WXYZ$ with $WX = 7$ and $YZ = 7$. The angle $Z$ is given as $68^{\c...
TrapezoidIsosceles TrapezoidAnglesParallel Lines
2025/3/13
The problem asks us to find the measure of angle T in the given trapezoid TVZY. The trapezoid has TV...
TrapezoidIsosceles TrapezoidAnglesGeometric Proof
2025/3/13
The problem asks to find the measure of angle D in a kite ABCD, where angle A is $36^{\circ}$ and an...
KiteAnglesQuadrilateralsAngle Sum Property
2025/3/13