The two rays are called the sides of the angle.Įxample: Here are some examples of angles. The point where the rays intersect is called the vertex of the angle. Two rays that share the same endpoint form an angle. The lines passing through them never meet. When two line segments DC and AB lie on parallel lines, we write this asĮxample: Lines 1 and 2 below are parallelĮxample: The opposite sides of the rectangle below are parallel. If line 1 is parallel to line 2, we write this as We say that two line segments are parallel if the lines that they lie on are parallel. Two lines in the same plane which never intersect are called parallel lines. A line segment has two endpoints a ray has one.Įxample: The endpoints of line segment DC below are points D and C, and the endpoint of ray MN is point M below: Note how the arrow heads denotes the direction the ray extends in: there is no arrow head over the endpoint.Įxample: The following is a diagram of two rays: ray HG and ray AB.Īn endpoint is a point used to define a line segment or ray. We write the name of a ray with endpoint A and passing through a point B as “ray AB” or as. The point where the ray begins is known as its endpoint. We may think of a ray as a “straight” line that begins at a certain point and extends forever in one direction. Note how there are no arrow heads on the line over AB such as when we denote a line or a ray.Įxample: The following is a diagram of two line segments: line segment CD and line segment PN, or simply segment CD and segment PN.Ī ray is one of the basic terms in geometry. We write the name of a line segment with endpoints A and B as “line segment AB” or as. A line segment does not extend forever, but has two distinct endpoints. We may think of a line segment as a “straight” line that we might draw with a ruler on a piece of paper. We say that these figures intersect.Įxample: In the diagram below, line AB and line GH intersect at point D:Įxample: In the diagram below, line 1 intersects the square in points M and N:Įxample: In the diagram below, line 2 intersects the circle at point P:Ī line segment is one of the basic terms in geometry. The point they share is called the point of intersection. The term intersect is used when lines, rays, line segments or figures meet, that is, they share a common point. A point has no length or width, it just specifies an exact location.Įxample: The following is a diagram of points A, B, C, and Q: We identify this point with a number or letter. We may think of a point as a “dot” on a piece of paper. PointsĪ point is one of the basic terms in geometry. The arrows signify that the lines drawn extend indefinitely in each direction.
We write the name of a line passing through two different points A and B as “line AB” or as, the two-headed arrow over AB signifying a line passing through points A and B.Įxample: The following is a diagram of two lines: line AB and line HG. We may think of a line as a “straight” line that we might draw with a ruler on a piece of paper, except that in geometry, a line extends forever in both directions. measurement (How big is it?, How far is it?, …)īelow is the complete resource on Geometry originally created by The Math League.Ī line is one of the basic terms in geometry. art/patterns (designs, symmetries, representations, …).ĥ. navigating/star-gazing (How do I get from here to there?, using maps, …)Ĥ. machines/motion (using a pry-bar, riding a bike, sawing a board, swinging, …)ģ. building/structures (building/repairing a house, laying out a garden, making a kite, …)Ģ. It occurred in all cultures, through at least one of these five strands of human activities:ġ.
The visual study of shapes, sizes, patterns, and positions. As comprehensively defined by Cornell University’s Math department, Geometry is:
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