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--- urp:angles [2021-10-13]
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+++ urp:angles [2021-11-08] (current)
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-==== Angles and Vectors ====
+===== Angles and Vectors =====
+==== Angles and Lines====
+{{ :urp:angles.jpg?250|}}
+  * **Complementary angles** add up to 90'
+  * **Supplementary angles** add up to 180'
+  * **alternative angles** are equal (congruent angles on transversal line intersecting two parallel lines)
+  * **vertical angles theorem** says that angles opposite one another when two straight lines intersect are congruent
-__Complementary angles__ add up to 90' (like the two non-right angles in a right triangle)
+In the diagram shown, <b₁ and <c are complementary, as are <e and <f. Angles <b₁ and <d are supplementary. Because of alternative angles of parallel lines, <b₂ = <b', and <d = <d' (assuming lines Y and Z are parallel). From the vertical angles theorem, <b₁ = <b₂.
-__Supplementary angles__ add up to 180'
+Distance between two points = √(Δx² + Δy²)  (based on Pythagorean theorem)
-__Distance between two points__ = √(Δx² + Δy²)  (based on Pythagorean theorem)
+==== Vectors (Rays) ====
 Length of a vector can be written as ||v|| (the "norm" of vector v)
-Distance of two vectors: first add the vectors to make a combined vector
+Distance of two vectors: first add the vectors to make a combined vector. To add vectors, simply add each part of the vector, ie. (x1 + x2, y1 + y2)
-Adding vectors: add each part of the vector, ie. (x1 + x2, y1 + y2)
+------
 Go back to [[geometry]] or [[math]] page.

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