geo_analytic-geometry-classwork-homework_2015-04-08 - Analytic Geometry Distance Formula CLASSWORK 1 Find the distance between-9 1-5-2 2 Find the

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Analytic Geometry Distance Formula: CLASSWORK 1. Find the distance between (-9, 1) & (-5, -2) 2. Find the distance between (10, 3) & (1, -3) 3. Length of ´ BD = ? 4. Length of ´ AD = ? 5. Length of ´ DC = ? Distance Formula: HOMEWORK 6. Find the distance between (2, 9) & (-3, 14)7.Find the distance between (-3, 2) & (9, 7)8.length of ´AD= ?9.length of ´BD= ?10.length of ´CD= ?#8 - 10 Geometry – Analytic Geometry ~1~ NJCTL.org #3 - 5
Midpoint Formula: CLASSWORK Calculate the coordinates of the midpoint of the given segments Geometry – Analytic Geometry ~2~ NJCTL.org
11. (0, 0), (6, 10) 12. (2, 3), (6, 7) 13. (4, -1), (-2, 5) 14. (-3, 8), (13, -6) 15. (-1, -14), (-2, -6) 16. (3, 2), (6, 6) 3
17. (-5, 2), (0, 4)Calculate the coordinates of the other endpoint of the segment with the given endpoint and midpoint M 4
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Midpoint Formula: HOMEWORK Calculate the coordinates of the midpoint of the given segments 6
21. (0, 0), (8, 4) 22. (-1, 3), (7, -1) 23. (3, 5), (7, -9) 24. (6, 0), (2, 7) 25. (-5, -3), (-3, -5) 26. (13, 8), (-6, -6) 7
27. (-4, -2), (1, 3)Calculate the coordinates of the other endpoint of the segment with the given endpoint and midpoint M 8
31. Line segment AB in the coordinate plane has endpoints with coordinates A (3, -10) and B(-6, -1).a) Graph ´b) Find 2 possible locations for point C so that C divides ´ABinto 2 parts with lengths in a ratio of 1:2.32. Line segment EF in the coordinate plane has endpoints with coordinates E (-10, 11) and F (5, -9).a) Graph ´ AB EF 9
b) Find 2 possible locations for point G so that G divides ´EFinto 2 parts with lengths in a ratio of 2:3.33. Line segment JK in the coordinate plane has endpoints with coordinates J (11, 11) and K (-10, -10). Find two possible locations for point P that divides ´JKinto two parts with lengths in a ratio of 3:4.34.Line segment LM in the coordinate plane has endpoints with coordinates L (-12, 10) and M (6, -8). Find two possible locations for point P that divides ´LMinto two parts with lengths in a ratio of 2:7.35. Line segment RS in the coordinate plane has endpoints with coordinates R(7, -11) and S(-9, 13). Find two possible locations for point P that divides ´RSinto two parts with lengths in a ratio of 3:5. Partitions of a Line Segment: HOMEWORK PARCC-type Questions: 36. Line segment AB in the coordinate plane has endpoints with coordinates A (5, -7) and B(-10, 3).a) Graph ´b) Find 2 possible locations for point C so that C divides ´ABinto 2 parts with lengths in a ratio of 1:4. AB 10
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