The problem asks us to identify and mark pairs of line segments based on their geometric properties. Pair A should be marked as parallel, pair B as perpendicular, and pair C as having the same length.

GeometryParallel LinesPerpendicular LinesLine SegmentsGeometric PropertiesVisual Inspection
2025/4/22

1. Problem Description

The problem asks us to identify and mark pairs of line segments based on their geometric properties. Pair A should be marked as parallel, pair B as perpendicular, and pair C as having the same length.

2. Solution Steps

* Pair A: The two line segments in pair A appear to be parallel, meaning they extend in the same direction and never intersect.
* Pair B: The two line segments in pair B form an angle that appears to be less than 90 degrees. Two lines are perpendicular if they intersect at a right angle (90 degrees). These are not perpendicular.
* Pair C: The two line segments in pair C appear to be the same length by visual inspection.

3. Final Answer

Pair A: Parallel
Pair B: Not Perpendicular
Pair C: Same Length

Related problems in "Geometry"

Show that $\vec{a} \times (\vec{b} \times \vec{a}) = (\vec{a} \times \vec{b}) \times \vec{a}$.

Vector AlgebraVector Triple ProductVector OperationsCross ProductDot Product
2025/6/17

The problem asks to find the area $S$ of a sector with radius $r = 4$ and arc length $l = 10$.

SectorAreaArc LengthGeometric Formulas
2025/6/17

The problem asks to identify the prism that can be formed from the given nets. We are given four dif...

PrismsNets3D ShapesCubesRectangular PrismsTriangular PrismsCylinders
2025/6/17

The problem asks to identify the prism formed by the given nets. The image shows four nets. The firs...

3D ShapesNetsPrismsCylindersCube
2025/6/17

We are given a triangle with one exterior angle of $130^\circ$ and one interior angle labeled as $x$...

TrianglesAnglesExterior AnglesInterior Angles
2025/6/17

We are given a triangle with two of its angles known. Angle A is $85^\circ$ and angle B is $68^\circ...

TrianglesAngle Sum PropertyLinear Equations
2025/6/17

We are given a circle with center O. CD is a tangent to the circle at point C. Angle CDB is given as...

CircleTangentAnglesAlternate Segment TheoremIsosceles Triangle
2025/6/17

The problem asks us to find the gradient of the line passing through each of the given pairs of poin...

Coordinate GeometrySlopeGradientLinear Equations
2025/6/17

We are given a pentagon with some information about its angles and sides. We need to find the size o...

PolygonsPentagonsAnglesIsosceles Triangle
2025/6/17

We are given a triangle with one exterior angle of $249^\circ$. Two of the interior angles of the tr...

TrianglesInterior AnglesExterior AnglesAngle Sum Property
2025/6/17