Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given two points, A(7, -4) and B(-3, -5). We need to find: (a) The equation of the vertical ...

Coordinate GeometryLinesSlopeLinear EquationsVertical LinesHorizontal LinesPerpendicular LinesStandard Form of a Line
2025/4/16

The problem states that the surface area of a sphere is four times the area of its largest cross sec...

Surface AreaSphereDiameterRadiusApproximation
2025/4/16

We are given a figure with three similar triangles. We are also given a proportion $\frac{c}{a} = \f...

Similar TrianglesProportionsGeometric Ratios
2025/4/16

We are given three similar triangles and the proportion $\frac{c}{a} = \frac{a}{?}$. We need to find...

Similar TrianglesProportionsRight TrianglesGeometric Mean
2025/4/16

A TV screen is 17 inches wide and 12 inches tall. The size of a TV screen is determined by the lengt...

Pythagorean TheoremRight TrianglesMeasurementApproximationDiagonal
2025/4/15

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