Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

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

ABCD are points on the circumference of a circle with center O. PD is a tangent to the circle at D. ...

CirclesAnglesCyclic QuadrilateralsTangentsGeometry
2025/4/9

ABCD are points on the circumference of a circle, with center O. PD is a tangent at D. Angle $ADB = ...

CirclesAnglesTangentsCyclic QuadrilateralsGeometry
2025/4/9

ABCD are points on the circumference of a circle, center O. PD is a tangent at D. Given that angle A...

Circle TheoremsAnglesTangentsGeometry
2025/4/9

We are given a cyclic quadrilateral $ABCD$ inscribed in a circle. We are given that $\angle DBC = 47...

Cyclic QuadrilateralTangentsAngles in a CircleGeometry
2025/4/9

We are given a cyclic quadrilateral $ABCD$ inscribed in a circle. We know that $\angle DBC = 47^\cir...

Cyclic QuadrilateralAngles in a CircleAngle ChasingGeometric Proof
2025/4/9