Apply the Distance and Midpoint Formulas

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Presentation transcript:

Apply the Distance and Midpoint Formulas Section 9.1 Apply the Distance and Midpoint Formulas

California Standard: Geo 15.0: Students use the Pythagorean Theorem to determine the distance and find missing lengths of sides of right triangles.

By following instructions, students will be able to: OBJECTIVE(S): By following instructions, students will be able to: Find the length and midpoint of a segment.

THE DISTANCE FORMULA: THE DISTANCE D BETWEEN THE POINTS AND IS

EXAMPLE 1: What is the distance between (-3,5) and (4,-10?

EXAMPLE 2: The vertices of a triangle are A(4,6), B(7,3), and C(2,1). Determine if triangle ABC is scalene, isosceles, or equilateral.

U-TRY#1: What is the distance between (3,-3) and (-1,5)? The vertices of a triangle are R(-1,3), S(5,2) and T(3,6). Determine if triangle RST is scalene, isosceles, or equilateral.

THE MIDPOINT FORMULA: THE MIDPOINT BETWEEN AND IS:

EXAMPLE 3: Find the midpoint of the line segment joining (- 5,1) and (-1,6).

U-TRY#2: a) (0,0) and (-4,12) b) (-2,1) and (4,-7) Find the midpoint of the line segment joining the points a) (0,0) and (-4,12) b) (-2,1) and (4,-7) c) (3,8) and (-5,-10)

HOMEWORK Sec 9.1 WS