Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given three triangle problems. 1. In triangle $ABC$, $B = 135.5^\circ$, $c = 8$ cm, and $a = ...
Law of CosinesTrianglesTrigonometrySide Lengths
2025/3/18
The problem consists of two parts. (2) In triangle ABC, we are given angle $A = 125.4^{\circ}$, side...
Law of CosinesTrianglesTrigonometryTriangle Sides and Angles
2025/3/18
The problem consists of two parts. Part 1: In triangle $ABC$, given $A = 125.4^\circ$, $b = 29.4$ cm...
Law of CosinesTrianglesTrigonometry
2025/3/18
In triangle $ABC$, we are given that angle $B = 135.5^{\circ}$, side $c = 8$ cm, and side $a = 5$ cm...
TriangleLaw of CosinesTrigonometrySide LengthAngleGeometry
2025/3/18
We are given a right triangle $ABC$ with a right angle at $A$. $M$ and $N$ are the midpoints of $BC$...
GeometryTransformationsSymmetryTrianglesMidpointQuadrilateralsParallelismPerpendicularity
2025/3/18
The problem consists of three independent geometry problems. Problem 1: Two parallel lines $\Delta$ ...
VectorsTransformationsReflectionsTranslationsGeometric Proofs
2025/3/18
The problem consists of three separate geometry questions. Question 1: Given two parallel lines $(\D...
TransformationsVectorsReflectionsTranslationsGeometric Proofs
2025/3/18
The problem consists of three independent questions related to geometric transformations in the plan...
Geometric TransformationsTranslationsVectorsReflections
2025/3/18
Given a triangle $ABC$ which is right-angled at $A$. $M$ and $N$ are the midpoints of segments $BC$ ...
TriangleMidpointSymmetryReflectionQuadrilateralRhombusTranslation
2025/3/18
The problem consists of three independent subproblems, each dealing with geometric transformations. ...
Geometric TransformationsReflectionsTranslationsVectorsComposition of Transformations
2025/3/18