Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a triangle with two of its angles known. Angle A is $85^\circ$ and angle B is $68^\circ...
TrianglesAngle Sum PropertyLinear Equations
2025/6/17
We are given a circle with center O. CD is a tangent to the circle at point C. Angle CDB is given as...
CircleTangentAnglesAlternate Segment TheoremIsosceles Triangle
2025/6/17
The problem asks us to find the gradient of the line passing through each of the given pairs of poin...
Coordinate GeometrySlopeGradientLinear Equations
2025/6/17
We are given a pentagon with some information about its angles and sides. We need to find the size o...
PolygonsPentagonsAnglesIsosceles Triangle
2025/6/17
We are given a triangle with one exterior angle of $249^\circ$. Two of the interior angles of the tr...
TrianglesInterior AnglesExterior AnglesAngle Sum Property
2025/6/17
We are asked to find the size of angle $DAB$ in a quadrilateral $ABCD$. We are given that angle $ADC...
QuadrilateralsAnglesAngle Sum Property
2025/6/17
The problem asks to find the size of angle $a$ in a quadrilateral, given the other three angles: $11...
QuadrilateralAnglesGeometric Shapes
2025/6/17
The problem asks which of the given lines is perpendicular to the line $x + 2y - 1 = 0$. The options...
Linear EquationsPerpendicular LinesSlopeCoordinate Geometry
2025/6/16
The problem asks to put the steps for constructing a right-angled triangle with a base of 10 cm and ...
Triangle ConstructionRight-Angled TriangleGeometric Construction
2025/6/16
The problem is to arrange the steps to construct a right-angled triangle with a base of 10 cm and a ...
Geometric ConstructionRight TriangleCompass and Straightedge
2025/6/16