Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a circle with center $M$. The measure of arc $KL$ is given as $m \widehat{KL} = 74^\cir...
CircleAnglesArcsCentral AngleInscribed Angle
2025/4/30
We are given a quadrilateral TUVW inscribed in a circle. The measure of angle V is given as $101^{\c...
GeometryCirclesInscribed AnglesQuadrilaterals
2025/4/30
We are given a circle with inscribed angle $\angle L = 62^\circ$. We are asked to find the measure o...
GeometryCirclesInscribed AnglesTriangles
2025/4/30
Two parabolas have the same focus at $(4, 3)$. The directrices of the parabolas are the x-axis and t...
ParabolaCoordinate GeometryDistance FormulaIntersection of Curves
2025/4/30
Determine whether line segment $RS$ and line segment $TU$ are parallel, perpendicular, or neither. G...
Coordinate GeometryLinesSlopeParallel LinesPerpendicular Lines
2025/4/30
The problem asks to find the equation of a line that is perpendicular to the line $2x + 3y = 5$ and ...
Linear EquationsPerpendicular LinesSlopePoint-Slope Form
2025/4/30
The problem asks us to calculate the area of a door. The door is composed of a rectangle and a semi-...
AreaRectangleSemi-circleScaleGeometric ShapesMeasurement
2025/4/30
We are given a quadrilateral RNPQ. We know that angle $R = 34^\circ$ and angle $Q = 108^\circ$. Also...
QuadrilateralsIsosceles TriangleAnglesParallel LinesAngle Sum Property
2025/4/30
The problem describes a quadrilateral formed from a parallelogram and a triangle. a) We need to iden...
QuadrilateralsParallelogramsTrapezoidsTrianglesAngle CalculationGeometric Proofs
2025/4/30
We are given a diagram with two parallel lines, $TW$ and $UV$, and a transversal intersecting them. ...
Parallel LinesTransversalAnglesSupplementary Angles
2025/4/30