![]() Think about it: if you were two-dimensional and came across a line in your path, that line would stretch infinitely in two directions and you could not get past it. When a transversal intersects parallel lines, it creates an interior and exterior. A transversal intersecting parallel lines at 90 ° is perpendicular. Any line cutting across parallel lines is a transversal. Parallel lines can be intersected by transversals. While two points determine a line, if you locate three points on a line, you have created a straight angle with the middle point as the vertex. The only sneaky way to get an angle from parallel lines is to declare each line is a straight angle, with a measure of 180 °. The two lines, line segments, or rays never converge (move closer) or diverge (move away). Unlike the intersecting rays Z A and Z U, parallel lines never meet. They could be snippets cut as rays or as line segments, depending on taking an infinite chunk or a finite chunk of the infinite, intersecting lines. We say rays Z A and Z U, but those rays could also be small snippets out of longer lines that intersected at P o i n t Z. Where they meet at P o i n t Z, they form a vertex, ∠ Z.Two rays, Z A and Z U, meet at P o i n t Z.Something as simple as an angle has parts. ![]() We almost never write " a n g l e Z," using instead a quick shorthand, ∠ Z. Parts of an Angleįor example, let's construct a n g l e Z. You trade a lot of number-crunching (not much addition, multiplication, subtraction or division in geometry) for a lot of inventory. Sometimes geometry feels like a giant parts warehouse. Alternate Interior Angles (Definition, Theorem, & Examples) ![]()
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