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What is the definition of a vertex in geometry?

A point where two lines meet

A vertex in geometry is defined as a point where two lines meet. This concept is fundamental in various geometric shapes, such as angles, polygons, and polyhedra. In the context of angles, the vertex is the point where the sides of the angle intersect. For polygons, such as triangles, squares, and pentagons, each corner or point where the edges of the shape converge is labeled as a vertex. This definition is crucial when analyzing the properties and relationships of geometric figures, as it helps in understanding their structure and the relationships between various angles and sides.

The other options describe different geometric concepts. The distance around a circle refers to the circumference, which is a distinct geometric measure. A line that bisects an angle is known as an angle bisector, specifically serving to divide the angle into two equal parts. An area enclosed by straight lines describes a polygon, which is a closed figure formed by connecting straight line segments. Each of these concepts highlights different aspects of geometry but does not pertain to the definition of a vertex itself.

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The distance around a circle

A line that bisects an angle

An area enclosed by straight lines

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