Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The problem asks whether the endpoints of the given graph are included or not. A closed circle indic...

Graph AnalysisInterval NotationEndpoints
2025/7/3

The problem asks to find the slope of a line given two points on the line: $(-10, -9)$ and $(-6, -5)...

SlopeCoordinate GeometryLinear Equations
2025/7/3

We are given the area of a square as 81 square meters, and we are asked to find the side length of t...

AreaSquareSide LengthGeometry
2025/7/2

We are asked to find the area of a square, given that its side length is $0.7$ meters. We are asked ...

AreaSquareUnit Conversion
2025/7/2

We are given a shaded shape on a grid. Each square on the grid has a side length of 1 cm. We are ask...

AreaApproximationGridShapes
2025/7/2

The problem states that $Z$ is the centroid of triangle $TRS$. Given that $TO = 7b + 5$, $OR = 13b -...

CentroidTriangleMidpointAlgebraic EquationsLine Segments
2025/7/1

We are given that $m\angle ACT = 15a - 8$ and $m\angle ACB = 74$. Also, S is the incenter of $\trian...

Angle BisectorIncenterTriangleAnglesAlgebraic Manipulation
2025/7/1

$S$ is the circumcenter of triangle $ABC$. $CP = 7x - 1$ and $PB = 6x + 3$. Find the value of $x$ an...

GeometryTriangleCircumcenterMidpointAlgebraic Equations
2025/7/1

We are given a triangle $ABC$ and a point $S$ which is the circumcenter. $CP = 7x - 1$ and $PB = 6x ...

TriangleCircumcenterLine SegmentsAlgebraic Equations
2025/7/1

The problem provides the radius of a circle as $21.5$ cm and a central angle as $316$ degrees. We ne...

CircleArc LengthCircumferenceAngle Measurement
2025/7/1