Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a diagram with two parallel lines $PQ$ and $SR$. We are given an exterior angle of $246...
Parallel LinesAnglesTransversalInterior AnglesExterior AnglesTrianglesAngle Sum Property
2025/4/10
The problem states that a carpet consists of two parts, blue and white. The white part is a rectangl...
PerimeterAreaRight TrianglePythagorean TheoremAlgebra
2025/4/10
The problem describes a carpet consisting of two parts, blue and white. The carpet's dimensions are ...
AreaPerimeterRight TrianglePythagorean TheoremAlgebra
2025/4/10
In the diagram, $|VZ|=|YZ|$, $\angle YXZ = 20^{\circ}$ and $\angle ZVY = 52^{\circ}$. We need to cal...
GeometryAnglesTrianglesCyclic QuadrilateralsIsosceles Triangle
2025/4/10
We are given a circle $RST$ with tangent $PQ$ at point $S$. $PRT$ is a straight line. We are given t...
CirclesTangentsAnglesAlternate Segment TheoremTriangles
2025/4/10
Part (a): Find the height of a building, given the angle of depression from the top of the building ...
TrigonometryAngle of DepressionArea of TriangleArea of TrapeziumParallel Lines
2025/4/10
ABCD are points on the circumference of a circle with center O. PD is a tangent to the circle at D. ...
Circle TheoremsAnglesTangentsGeometry
2025/4/9
In the given circle, $A, B, C, D$ are points on the circumference and $O$ is the center (although th...
CirclesCyclic QuadrilateralsTangentsAnglesTangent-Chord Theorem
2025/4/9
In the given diagram, $ABCD$ are points on the circumference of a circle with center $O$. $PD$ is a ...
CirclesAnglesTangentsCyclic QuadrilateralsGeometry
2025/4/9
ABCD are points on the circumference of a circle with center O. PD is a tangent to the circle at poi...
CirclesAnglesCyclic QuadrilateralsTangents
2025/4/9