Angles and Vectors
Angles and Lines
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
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.
Distance between two points = √(Δx² + Δy²) (based on Pythagorean theorem)
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. To add vectors, simply add each part of the vector, ie. (x1 + x2, y1 + y2)
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