Apply the Distance and Midpoint Formulas

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Presentation transcript:

Apply the Distance and Midpoint Formulas Notes 9.1

Deriving the Distance FormulA!!! Write anything I write on the board on your paper.

Distance Formula: Use this formula if you need to find the distance between two points.

Find the distance between the two points. Points: (3, 1) and (3, 7)

Types of Triangles: Equilateral: Scalene: Isosceles: All different sides All different angles Two sides equal Two angles equal All equal sides All equal angles

Classify a triangle using the distance formula: Step 1: Find the distance between each of the points. Step 2: Classify the triangle based on the number of equal distances (equilateral, isosceles, or scalene)

Classify the triangle made of the three points.

Classify the triangle made of the three points.

Midpoint Formula: Finds the midpoint of a line segment joining two points

Find the midpoint of the line segment connecting the two points.

Find the midpoint of the line segment connecting the two points.

Write an equation for the perpendicular bisector of the line segment. Step 1: Find the midpoint of the line segment connecting the two points. Step 2: Find the slope of the line segment connecting the two points. Step 3: Find the slope of a line perpendicular to the segment connecting the two points. (Opposite Reciprocal) Step 4: Find the equation of the perpendicular bisector

Write an equation for the perpendicular bisector of the line segment.

Write an equation for the perpendicular bisector of the line segment.

Write an equation for the perpendicular bisector of the line segment.

Homework: P 617 3-17, 22-36