Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The problem asks for the measure of the inscribed angle ACB in a circle, given that angle ACB $= (7x...

Inscribed AngleCircleAngle MeasurementAlgebraLinear Equations
2025/3/11

We are given a circle with diameter $AD$. The measure of arc $AC$ is $132^\circ$. We need to find th...

CircleArcAngleDiameterIsosceles TriangleCentral Angle
2025/3/11

We are given a circle with center O and chord PT. We are given that $m(\angle PBT) = 70^\circ$. We n...

CirclesAnglesTrianglesInscribed AnglesCentral AnglesArcsGeometry
2025/3/11

The problem asks to translate the given line segment by the given vectors in parts a and b. Part a: ...

VectorsTransformationsTranslationCoordinate GeometryLine Segment
2025/3/11

The problem asks us to translate each point on the coordinate grid by the given vector. Part a) invo...

VectorsCoordinate GeometryTranslations
2025/3/11

The problem asks to translate the given line segment by the vector $\begin{pmatrix} 4 \\ 2 \end{pmat...

VectorsTranslationLine SegmentsCoordinate Geometry
2025/3/11

Point A is translated by the vector $\begin{pmatrix} 2 \\ 4 \end{pmatrix}$. We need to circle the ne...

VectorsTranslationCoordinate Geometry
2025/3/11

ABCD is a rhombus. We are asked to find the length of side $AB$ and the measure of angle $\angle ABC...

RhombusAngle PropertiesSide LengthAlgebraic Equations
2025/3/11

The problem states that $ABCD$ is a rhombus. We need to find $AB$ and the measure of angle $ABC$. Th...

RhombusAnglesSupplementary AnglesAlgebra
2025/3/11

We are given a rhombus $ABCD$ with $m\angle CBD = 67^\circ$. We need to find the measure of $\angle ...

RhombusAnglesIsosceles TriangleGeometric Proof
2025/3/11