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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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