Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a diagram where the angles around point T form a straight line. We know that the angle ...
AnglesStraight LineAngle SumAlgebraic Equations
2025/3/12
The problem asks us to find the distance between the points $(7, 14)$ and $(12, 2)$.
Distance FormulaCoordinate GeometryEuclidean Distance
2025/3/12
Triangles $DEF$ and $GHF$ are similar triangles. $GD = 16$ in. $DE = 20$ in. $FH = 20$ in. We need t...
Similar TrianglesTriangle ProportionsGeometric Ratios
2025/3/12
We are asked to find the distance between the points $(-7, 6)$ and $(2, -6)$.
Distance FormulaCoordinate GeometryEuclidean Distance2D Geometry
2025/3/12
The problem describes a triangle $ABC$ and asks how the angles of the triangle change when point $C$...
TrianglesAnglesGeometric TransformationsAngle Properties
2025/3/12
The problem asks us to find the value of $x$ given that the angle $\angle FHG$ is $57^{\circ}$, the ...
AnglesLinear EquationsAngle RelationshipsStraight Angle
2025/3/12
The problem requires us to find the lengths of the sides AB, BC, and AC, and the measures of the ang...
TriangleDistance FormulaLaw of CosinesCoordinate GeometryAngle CalculationSide Length Calculation
2025/3/12
The problem describes a triangle formed by three straight paths $AB$, $BC$, and $AC$, which intersec...
TrianglesLaw of SinesLaw of CosinesAnglesSidesEquilateral Triangle
2025/3/12
The problem asks to measure and record the angles formed at the intersections (points A, B, and C) o...
AnglesLine segmentsMeasurementTrianglesIntersections
2025/3/12
The problem asks to measure and record the angle formed at each intersection of three paths at point...
AnglesTrianglesMeasurementLengths
2025/3/12