Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a right triangle with hypotenuse $c = 10$ and one leg $b = 6$. We need to find the leng...
Pythagorean TheoremRight Triangle
2025/3/9
The problem states that a decagon is regular. We are asked to find the measure of each interior angl...
PolygonRegular PolygonDecagonInterior Angles
2025/3/9
Given two vectors $u = i + 3j + k$ and $v = 4i + 7j$, the problem is to find the cross product $u \t...
VectorsCross Product3D Geometry
2025/3/7
The problem asks to determine the minimum rotation in degrees that will carry the given figure onto ...
Rotational SymmetryGeometric TransformationsKiteAngle Calculation
2025/3/7
The problem asks us to determine the number of degrees between potential lines of symmetry for the g...
SymmetryEquilateral TriangleAngle Calculation
2025/3/7
The problem asks to determine the minimum rotation (in degrees) that will carry a regular octagon on...
Regular PolygonsRotational SymmetryAngles
2025/3/7
The problem asks us to identify a shape based on three clues: it has 2 pairs of sides of equal lengt...
QuadrilateralsParallelogramRhombusProperties of Shapes
2025/3/6
The problem asks to find the slope of a line parallel to the line that passes through the points $(2...
Coordinate GeometrySlopeParallel Lines
2025/3/6
The problem asks us to determine whether the given pair of lines are parallel, perpendicular, or nei...
LinesSlopesParallelPerpendicular
2025/3/6
We are given two lines. Line $k$ passes through the points $(-3, -5)$ and $(1, 7)$. Line $h$ passes ...
Coordinate GeometrySlopeParallel Lines
2025/3/6