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1.1d: The Coordinate Plane

1.1d: The Coordinate Plane. - Midpoint Formula. M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope. GSE. Midpoint. The point that ________ a segment (it’s the middle). Bisects ? splits into 2 equal pieces.

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1.1d: The Coordinate Plane

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  1. 1.1d: The Coordinate Plane - Midpoint Formula M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope GSE

  2. Midpoint • The point that ________ a segment (it’s the middle). • Bisects? splits into 2 equal pieces A M 4in B 4 in

  3. Segment Bisector • A segment, ray, line, or plane that intersects a segment at its _________. k A M B

  4. b D P R Line b _________ DR at point P. IF DR is 14 feet long, what do we know? _________________ We can also call Point P a ___________

  5. Midpoint Formula • Used for finding the _______________ of the _________ of a segment in a coordinate plane. • If the endpoints are (x1,y1) & (x2,y2), then

  6. Ex. Find the midpoint of DC and label it point A A

  7. A map of RI has been Put on a coordinate plane LHS If you are meeting a friend halfway to the beach , at what coordinates are you meeting? Beach

  8. Ex: Find the midpoint of JT if J(-3, 5) & T(4,2).

  9. Find the midpoint

  10. 1) Is it a longer drive From Cumberland to Westerly (A to B) Or from Burrillville to Little Compton? (C to D) 2 Where is the Midpoint between Cumberland and Westerly?

  11. A major league baseball diamond is a square having side lengths 90 feet. • Overlay a rectangular coordinate system on the baseball diamond so that: • -the origin is at home plate • -the positive x-axis is along the first base line • -the positive y-axis is along the third base line. • What are the coordinates of first, second, and third base? • ii. What is the distance from home plate to second base? • iii. If the right fielder is at (305, 10), how far is the right fielder from second base? • iii. Suppose you want to position the pitching mound at equal distances from second base • and home plate. What coordinates would the pitching mound have?

  12. Assignment

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