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Distance Formula Section 11-3a
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Warm up
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So all I have to do is count boxes? EZ!
Keeping it simple… Find the distance of each line segment below: So all I have to do is count boxes? EZ! Remember that “counting boxes” is just subtraction
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Awww man, how can I find these distances?
…but not for long! Awww man, how can I find these distances?
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The Pythagorean Theorem can help!
c2 = a2 + b2 (PQ)2 = (PR)2 + (RQ)2 (PQ)2 = (x2 – x1)2 + (y2 – y1)2
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Using the Pythagorean Theorem
Find the distance between T(1,-5) and V(3,-2).
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Check out this video Do you want me to sing along?
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Using the Distance Formula
Find the distance between P and Q.
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You try! Find the distance between each pair of points.
1. (-2,1) and (-5,4) 2. (3,-2) and (-1,5) 3. (4,1) and (-4,-1) 9 + 9 = 65 = 68
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Exit Ticket On the front of your index card, please write your name in the upper right corner. On the first line, write ONE ordered pair. At least one of the numbers must be negative. Write the same point again on the back at the top of the card. Find a partner. Write their ordered pair beside yours (with their name!) on the front and find the distance between your two points. Find a second partner and repeat this process on the back of your card. Turn everything in to the pink tray.
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