Pre-Requisite Information Pre-Calculus Day 1. Standard Form Ax + By= C NO FRACTIONS A cannot be negative Slope is –A/B Parallel Lines Perpendicular Lines.

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Presentation transcript:

Pre-Requisite Information Pre-Calculus Day 1

Standard Form Ax + By= C NO FRACTIONS A cannot be negative Slope is –A/B Parallel Lines Perpendicular Lines Same Slope Keep Ax + By, Find new C from ordered pair Opposite Reciprocal Slope Switch A and B, Change sign of B Find new C from ordered pair

Examples: Find parallel and perpendicular lines for each 4x + 5y = 9 (-1, 7) 3x – 2y = -11 (2, -4) x – 7y = 4 (3, 5)

Properties of Parallelograms Opposite sides are parallel Opposite sides are congruent Diagonals bisect Properties of Rectangles Consecutive angles are 90 degrees Opposite sides are parallel Opposite sides are congruent Diagonals bisect

Properties of Right Triangles

Prove: Determine if the following vertices make a right triangle. A(1, -2) B(8, 5) C(-3, 2) Determine if the following vertices are a parallelogram A(-4, -1) B(0, -2) C(6, 1) D(2, 2) Determine the shape given vertices A(-4, 2) B(1, 4) C(3, -1) D(-2, -3)