Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given a right triangle with hypotenuse of 12 cm and one angle of 45 degrees. We are asked to ...

Right TriangleTrigonometrySineCosine45-45-90 Triangle
2025/3/10

We have a right triangle with a hypotenuse of 12 cm and one angle of 45 degrees. We need to find the...

Right TriangleIsosceles TriangleTrigonometrySine45-45-90 Triangle
2025/3/10

The problem asks how many angles a trapezoid has.

TrapezoidQuadrilateralAnglesPolygons
2025/3/10

The question asks which shape has 5 angles. The choices are Pentagon, Trapezoid, and Hexagon.

PolygonsAnglesPentagonTrapezoidHexagon
2025/3/10

The problem asks us to identify which shape among the given options has exactly 4 angles.

ShapesAnglesQuadrilaterals
2025/3/10

The question asks: "How many angles does an octagon have?" The choices are 5, 6, and 8.

OctagonPolygonAnglesSides
2025/3/10

Let $ABC$ be a triangle. $B'$ and $C'$ are the midpoints of segments $[AC]$ and $[AB]$ respectively....

Vector GeometryCollinearityTriangle GeometryMidpoint Theorem
2025/3/9

Let $ABC$ be a triangle. Let $B'$ and $C'$ be the midpoints of segments $[AC]$ and $[AB]$ respective...

VectorsCollinearityMidpointTriangle Geometry
2025/3/9

Let $ABC$ be a triangle. Let $M$ be the midpoint of segment $AB$, and let $I$ be the midpoint of seg...

Vector GeometryCollinearityTriangle GeometryMidpoint
2025/3/9

Given triangle $ABC$, we construct points $M$ and $N$ such that $\vec{AM} = -\frac{2}{3}\vec{AB}$ an...

VectorsParallel LinesCollinearityTriangle Geometry
2025/3/9