Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

Given that $AE \cong EC$ and $BE \cong ED$, we want to prove that $AB \cong DC$. We need to determin...

CongruenceTrianglesSAS CongruenceCPCTCVertical Angles
2025/3/10

The problem states that line segment $CA$ bisects angle $BAD$ and angle $BCD$. We need to prove that...

CongruenceTrianglesAngle BisectorASA Congruence
2025/3/10

We are asked to prove that $GH \cong WV$ using the flowchart given and information from the provided...

Triangle CongruenceAASCPCTCGeometric Proof
2025/3/10

The problem asks us to calculate the volume of water needed to fill a cuboid container, given the di...

VolumeCuboidUnit Conversion
2025/3/10

The problem asks for the volume of water needed to fill a cuboid container, given its dimensions and...

VolumeCuboidUnit Conversion
2025/3/10

The problem asks us to calculate the volume of water in a cuboid container. The dimensions of the co...

VolumeCuboidUnit Conversion
2025/3/10

The problem asks to find the perimeter and area of a rectangle in $cm$. The given rectangle has a le...

RectanglePerimeterAreaUnit Conversion
2025/3/10

We are given a triangle with the following information: - Hypotenuse = 9 cm - One angle = 55 degrees...

TrigonometryRight TrianglesCosinePythagorean Theorem
2025/3/10

The problem is to find the values of $x$ and $y$ in the given right triangle. The hypotenuse has len...

TrigonometryRight TrianglesSineCosine
2025/3/10

We have a triangle with one side of length 9 cm and an angle of 55 degrees opposite side $x$. Side ...

TrigonometryLaw of SinesRight Triangles
2025/3/10