Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks to prove that triangle $GEF$ is an isosceles triangle, given that $ABCD$ is a squar...
GeometryProofsTrianglesCongruenceIsosceles Triangle
2025/4/24
We are given that $ABCD$ is a square and $AE \cong BG$. We need to prove that $\triangle GEF$ is iso...
GeometryEuclidean GeometryCongruenceTrianglesIsosceles TriangleProofsSquare
2025/4/24
The problem describes a scenario where the angle of depression from the top of a building to a point...
TrigonometryAngle of DepressionRight TrianglesTangent Function
2025/4/23
The problem states that if the circumference of a circle increases by 40%, what happens to the area ...
CircleCircumferenceAreaPercentage Increase
2025/4/23
The problem asks: By what percentage does the area of a rectangle change when its length increases b...
AreaRectanglePercentage Change
2025/4/23
The problem asks us to find the intercepts of a line, using its equation or any other method. Howev...
Linear EquationsInterceptsCoordinate Geometry
2025/4/23
The length and width of a rectangular prism are each tripled. The problem asks what happens to the v...
VolumeRectangular PrismScaling
2025/4/23
We are given a circle with center C. The radius of the circle is 5 inches. The angle ACB is 36 degre...
Area of a SectorCirclesAnglesRadius
2025/4/23
We are asked to find the area of quadrilateral $PQRS$. The quadrilateral can be divided into two tri...
AreaQuadrilateralsTrianglesGeometric Formulas
2025/4/23
The area of parallelogram $DEFG$ is 143 square units. The base of the parallelogram, $DG$, is 13 uni...
AreaParallelogramGeometric FormulasMeasurement
2025/4/23