Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The problem asks for the equations of the two lines, $m$ and $n$, shown in the graph in slope-interc...

Linear EquationsSlope-intercept formLinesSlopeCoordinate Geometry
2025/4/15

The problem asks to place points $A$, $B$, and $C$ on a line $\Delta$ equipped with a Cartesian coor...

Line GeometryCoordinate GeometryPoints on a Line
2025/4/15

The problem asks to place points $A$, $B$, and $C$ on a line $(\Delta)$ given a Cartesian coordinate...

Coordinate GeometryLine SegmentsMidpointParallel Lines
2025/4/15

The problem provides a coordinate plane with three points labeled A, B, and C. The coordinate system...

Coordinate GeometryPointsCoordinate Plane
2025/4/15

We are given a circle with center $O$. A line $AM$ is tangent to the circle at point $A$. Another li...

CircleTangentAnglesTrianglesGeometric Proof
2025/4/15

We are given a circle with center $O$. A line is tangent to the circle at point $K$. Point $T$ is on...

CirclesTangentsAnglesTrianglesGeometric Proofs
2025/4/15

We need to describe and sketch the graphs of the following equations in three-space: Equation 18: $y...

3D GeometryGraphingSurfacesCylindersHyperboloids
2025/4/15

We are asked to identify and describe the graph of the equation $z = \sqrt{16 - x^2 - y^2}$ in three...

3D GeometrySphereHemisphereEquation of a SphereCoordinate Geometry
2025/4/15

The problem is to identify and describe the graph of the equation $z = \sqrt{16 - x^2 - y^2}$ in thr...

3D GeometrySpheresEquations of SurfacesGraphing
2025/4/15

We need to find the measure of angle $MON$ in the given diagram. We know that $AM$ and $AN$ are tang...

Circle GeometryTangentsAnglesQuadrilaterals
2025/4/15