Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem describes a translation of triangle $PQR$ to triangle $P'Q'R'$. We need to describe thi...
TransformationsTranslationCoordinate Geometry
2025/6/14
Triangle PQR is translated to triangle P'Q'R'. The problem is to describe the translation by filling...
TransformationsTranslationsCoordinate GeometryGeometric Transformations
2025/6/14
Shape B is a translation of shape A by 4 squares to the right and 2 squares down. The problem asks u...
TransformationsTranslationsCoordinate Geometry
2025/6/14
Given that $\alpha$ is an acute angle, determine the range of $2\alpha$. The options are: [A] First ...
AnglesTrigonometryInequalitiesAngle Measurement
2025/6/14
The problem asks for the coordinates of vertex $V$ after the given rectangle is reflected in the das...
ReflectionCoordinate GeometryTransformations
2025/6/14
The problem asks for the coordinates of vertex $V$ after the given rectangle is reflected in the das...
Coordinate GeometryReflectionGeometric Transformations
2025/6/14
The problem asks for the coordinates of vertex $V$ after the rectangle is reflected in the dashed li...
ReflectionCoordinate GeometryTransformations
2025/6/14
Shape J is translated 4 squares down to give shape K. We need to write this translation as a vector.
VectorsTransformationsTranslation
2025/6/14
Point P moves on the circle $(x-6)^2 + y^2 = 9$. Find the locus of point Q which divides the line se...
LocusCirclesCoordinate Geometry
2025/6/12
We are given three points $A(5, 2)$, $B(-1, 0)$, and $C(3, -2)$. (1) We need to find the equation of...
CircleCircumcircleEquation of a CircleCoordinate GeometryCircumcenterRadius
2025/6/12