Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The problem asks to describe the graph of the function $f(x, y)$ for each case from 7 to 16.

3D GeometrySurface DescriptionFunctions of Two VariablesPlanesParaboloidsCylindersHemispheresEllipsoids
2025/4/24

The problem asks us to find the x-intercept of the line passing through the points $A(-1, -2)$ and $...

Linear EquationsCoordinate GeometryX-interceptSlope-intercept form
2025/4/24

Given three points $A(3,8)$, $B(4,m)$, and $C(-1,4)$, which are collinear (lie on the same straight ...

Coordinate GeometryCollinear PointsSlope
2025/4/24

Given three points $A(3, 8)$, $B(4, m)$, and $C(-1, 4)$, we are told that they lie on the same strai...

Coordinate GeometryCollinear PointsSlope
2025/4/24

The problem states that a straight line $l$ passes through the point $P(1, 3)$ and has a slope of $1...

Linear EquationsCoordinate GeometryPoint-Slope Form
2025/4/24

The problem asks to find the inclination angle of the line $x + \sqrt{3}y + 1 = 0$.

Linear EquationsSlopeInclination AngleTrigonometry
2025/4/24

The problem asks us to find the slope of the straight line passing through the points $A(-1, -4)$ an...

Coordinate GeometrySlopeLines
2025/4/24

A secondary school, Beterekwa, is to be built to service three primary schools: Tugwi, Shinga, and H...

Geometry ConstructionBearingsLocusScale DrawingDistance
2025/4/24

A secondary school, Beterekwa, is to be built to serve three primary schools: Tugwi, Shinga, and Hla...

Geometry ConstructionBearingsLocusEuclidean GeometryDistance
2025/4/24

We are given a diagram with several angles labeled. Specifically, $\angle STQ = m$, $\angle TUQ = 80...

AnglesTrianglesStraight AnglesAngle Sum Property
2025/4/24