2.1 Rectangular Coordinates

2.1 Rectangular Coordinates - 2.1: Rectangular Coordinates...

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Unformatted text preview: 2.1: Rectangular Coordinates Distance Formula: d(P1, P2) = x y b − x g+ b − y g 2 2 1 2 2 2 1 Converse of Pythagorean Theorem: If a2 + b = c2 (where c is the hypotenuse and a and b are legs), then the triangle is a right triangle. Isosceles triangles have two sides of equal length; equilateral triangles of three sides of equal length. Area of a triangle: A = ½bh Midpoint Formula: x F +x , y +y I G2 2 J H K 1 2 1 2 Find the distance between the points and midpoint for the following: (1) P1 = (-1, 0), P2 = (2, 4) (2) P1 = (-1, 0), P2 = (2, 4) (3) P1 = (1.2, 2.3), P2 = (-0.3, 1.1) (4) P1 = (1.2, 2.3), P2 = (-0.3, 1.1) Determine the type of triangle, given the vertices; justify your answer: (5) A = (-6, 3), B = (3, -5), C = (-1, 5) (6) A = (-1, 4), B = (6, 2), C = (4, -5) ...
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2.1 Rectangular Coordinates - 2.1: Rectangular Coordinates...

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