# Partitioning a Segment 2

- Author:
- Edward Knote

- Topic:
- Geometry

Use the worksheet below to investigate the topic of segment partitioning. In this case, you are using the Part to part and/or the Part to whole ratios along with right triangles to, find the coordinates of the missing endpoint B of

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## Investigation Questions:

1) Given that point A is (-8,6) and point C is (-4,2), what is the length of ? (Explain how you found your solution.)

2) Given that point A is (-8,6) and point C is (-4,2), find the slope of . (Explain how you found your solution.)

3) Using the length of from question 1, and the ratios given in the file above, find the length of , length of , and the coordinates of point B.

4) Select the Show Right Triangle button (a triangle and some checkboxes appear), then investigate and describe how the concepts of slope, right triangles, Pythagorean theorem, and similar triangles apply to answering questions 1, 2, and 3.

5) Fill in the able :

AC:AB | AC:CB | A | C | B |

_______ | 4:5 | (-8,1) | (-4,5) | ______ |

3:7 | _______ | (5,-4) | (2,-1) | ______ |

_______ | _______ | (6,-6) | (-1,2) | ______ |