Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given a quadrilateral $ABCD$ with $\angle ADC = 96^\circ$, $\angle BCD = 90^\circ$ (right ang...

QuadrilateralAnglesAngle SumGeometric Proof
2025/5/11

We are given a quadrilateral with three known angles: $121^{\circ}$, $105^{\circ}$, and $82^{\circ}$...

QuadrilateralsAnglesGeometric ShapesAngle Sum Property
2025/5/11

We are given an isosceles triangle with one angle equal to $58^\circ$. The two other angles, $m$ and...

TrianglesAnglesIsosceles TriangleAngle Sum Property
2025/5/11

The problem asks us to find the size of angle $ABC$ in a triangle $ABC$, where angle $BAC$ is $72^\c...

TrianglesAngle Sum PropertyAngle Calculation
2025/5/11

We are given a right-angled triangle with one angle equal to $10^\circ$. We need to find the size of...

TrianglesAnglesRight-Angled TriangleAngle Sum Property
2025/5/11

The problem asks us to find the distance between each pair of parallel lines for problems 19-24.

Parallel LinesDistance FormulaCoordinate Geometry
2025/5/11

The problem asks to find the distance between two parallel lines given by the equations $y = -3$ and...

Distance FormulaParallel LinesCoordinate Geometry
2025/5/11

The problem asks us to determine a series of transformations that would map Figure M onto Figure N. ...

Geometric TransformationsReflectionTranslationCoordinate Geometry
2025/5/11

The problem asks us to determine the sequence of transformations that would map Figure M onto Figure...

TransformationsRotationTranslationCoordinate Geometry
2025/5/11

The problem asks us to determine a series of transformations that map Figure M onto Figure N. The av...

TransformationsReflectionTranslationCoordinate Geometry
2025/5/11