Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given pairs of linear equations and asked to determine whether they are parallel, perpendicul...

LinesParallelPerpendicularSlopeLinear Equations
2025/3/10

The problem asks us to determine whether pairs of lines are parallel, perpendicular, or neither. We ...

LinesSlopesParallelPerpendicularSlope-intercept Form
2025/3/10

The problem asks us to determine whether pairs of slopes are parallel, perpendicular, or neither. W...

SlopeParallel LinesPerpendicular LinesCoordinate Geometry
2025/3/10

We are given that $AD \cong AE$, $BA || CE$, $CB || DA$, and $m\angle DAE = 54^\circ$. We need to fi...

AnglesTrianglesParallel LinesTrapezoidsSupplementary AnglesIsosceles Triangle
2025/3/10

Given that $\overline{CA}$ bisects $\angle BAD$ and $\overline{CA}$ bisects $\angle BCD$, we want to...

Triangle CongruenceAngle BisectorASA Congruence
2025/3/10

We have a right square pyramid with a base side of 10 cm and a height of 12 cm. We need to find the ...

Pyramids3D GeometryPythagorean TheoremSquare Base
2025/3/10

We are given a right square pyramid with a base side length of 10 cm and a height of 12 cm. We need ...

PyramidRight PyramidSquare PyramidPythagorean Theorem3D GeometryDistance Calculation
2025/3/10

The problem asks to prove that line segment $\overline{GH}$ is congruent to line segment $\overline{...

Triangle CongruenceASA Congruence PostulateCPCTCThird Angles Theorem
2025/3/10

We are given that $AD \cong AE$, $BA || CE$, $CB || DA$, and $m\angle DAE = 54^\circ$. We need to fi...

ParallelogramAnglesIsosceles TriangleSupplementary Angles
2025/3/10

We are given that $\overline{CA}$ bisects $\angle BAD$ and $\overline{CA}$ bisects $\angle BCD$. We ...

CongruenceTrianglesAngle BisectorASA Congruence
2025/3/10