Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks us to translate each point on the coordinate grid by the given vector. Part a) invo...
VectorsCoordinate GeometryTranslations
2025/3/11
The problem asks to translate the given line segment by the vector $\begin{pmatrix} 4 \\ 2 \end{pmat...
VectorsTranslationLine SegmentsCoordinate Geometry
2025/3/11
Point A is translated by the vector $\begin{pmatrix} 2 \\ 4 \end{pmatrix}$. We need to circle the ne...
VectorsTranslationCoordinate Geometry
2025/3/11
ABCD is a rhombus. We are asked to find the length of side $AB$ and the measure of angle $\angle ABC...
RhombusAngle PropertiesSide LengthAlgebraic Equations
2025/3/11
The problem states that $ABCD$ is a rhombus. We need to find $AB$ and the measure of angle $ABC$. Th...
RhombusAnglesSupplementary AnglesAlgebra
2025/3/11
We are given a rhombus $ABCD$ with $m\angle CBD = 67^\circ$. We need to find the measure of $\angle ...
RhombusAnglesIsosceles TriangleGeometric Proof
2025/3/11
Triangle $LMN$ is dilated by a scale factor of $\frac{1}{4}$ centered at the origin. We are asked to...
DilationCoordinate GeometryTransformationsTriangles
2025/3/11
We are asked to find the measures of angles 1, 2, 3, 4, and 5 in the given rectangle. We are given t...
AnglesRectanglesTrianglesGeometric ShapesAngle Measurement
2025/3/11
We are given an isosceles trapezoid $MLKN$ and we need to find the measure of angle $K$. We are give...
TrapezoidIsosceles TrapezoidAngle PropertiesGeometric Proof
2025/3/11
We are given a right triangle with hypotenuse 10 cm and one leg 8 cm. We need to find the length of ...
Pythagorean TheoremRight TriangleTriangle GeometryAlgebra
2025/3/11