Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given two diagonally opposite vertices of a square on a coordinate grid, with coordinates $(-...
GeometryCoordinate GeometrySquaresDistance FormulaPerimeterPythagorean Theorem
2025/4/28
The problem states that we have a square with sides of length 7 units. The sides of the square are p...
GeometryCoordinate GeometrySquaresCoordinate Plane
2025/4/28
We are given that point $M(7, 12)$ is the midpoint of the line segment $UV$, and the coordinates of ...
Coordinate GeometryMidpoint FormulaLine Segments
2025/4/28
We are asked to sketch the set of points defined by given conditions, describe its boundary, and det...
Set TheoryCoordinate GeometryBoundariesOpen SetsClosed SetsRectangles
2025/4/28
The problem asks us to find the slope of line $\overline{AB}$ where the line has the symbol indicati...
SlopeLinesHorizontal LinesCoordinate Geometry
2025/4/27
The problem provides the coordinates of four points: $P(1, 1)$, $Q(9, 8)$, $U(-6, 1)$, and $V(2, 8)$...
Coordinate GeometrySlopesParallel LinesLines
2025/4/27
Determine whether the lines PQ and UV are perpendicular. The coordinates of the points are given as ...
Coordinate GeometryLinesPerpendicularitySlopes
2025/4/27
The problem is to find the slope $m$ of the line passing through the points $P(1,4)$ and $Q(9,8)$. T...
Coordinate GeometrySlopeLines
2025/4/27
The problem asks to calculate the slopes of two lines. The first line passes through the points $P(-...
Coordinate GeometrySlope of a LineLinear Equations
2025/4/27
The problem is to find the slope of the line passing through points $P(-10, 7)$ and $Q(2, 1)$. The g...
Coordinate GeometrySlopeLinesPoints
2025/4/27