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Lesson Distance and Midpoints 1-3

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Ohio Content Standards:

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Estimate, compute and solve problems involving scientific notation, square roots and numbers with integer exponents.

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Ohio Content Standards: Apply order of operations to simplify expressions and perform computations involving integer exponents and radicals.

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Distance Formula

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Number Line

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PQ ab Distance Formula Number Line

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PQ ab Distance Formula Number Line »PQ = l b – a l or l a – b l

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Distance Formula

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Coordinate Plane

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Distance Formula Coordinate Plane –The distance d between two points with coordinates (x 1, y 1 ) and (x 2, y 2 ) is given by

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Coordinate Plane –The distance d between two points with coordinates (x 1, y 1 ) and (x 2, y 2 ) is given by Distance Formula

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Use the number line to find QR.

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RQ -8-7-6-5-4-30-2

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Find the distance between E(-4, 1) and F(3, -1).

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Midpoint

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Number Line

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PQ ab Midpoint Number Line

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PQ ab Midpoint Number Line »

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Midpoint

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Coordinate Plane

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Midpoint Coordinate Plane –The coordinates of the midpoint of a segment whose endpoints have coordinates (x 1, y 1 ) and (x 2, y 2 ) are

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Midpoint Coordinate Plane –The coordinates of the midpoint of a segment whose endpoints have coordinates (x 1, y 1 ) and (x 2, y 2 ) are

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The coordinates on a number line of J and K are -12 and 16, respectively. Find the coordinate of the midpoint of JK.

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Find the coordinates of the midpoint of GH for G(8, -6) and H(-14, 12).

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Find the coordinate of D if E(-6, 4) is the midpoint of DF and F has coordinates (-5, -3).

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What is the measure of PR if Q is the midpoint of PR? P Q R 6 - 3x 14x + 2

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Assignment: Pgs. 25 - 27 14 - 44 evens 58 - 68 evens

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1 Lesson 1-3 Measuring Segments. 2 Postulates: An assumption that needs no explanation. Postulate 1-1 Through any two points there is exactly one line.

1 Lesson 1-3 Measuring Segments. 2 Postulates: An assumption that needs no explanation. Postulate 1-1 Through any two points there is exactly one line.

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