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Coordinates, Segments, Angles Understanding 1
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Coordinates, Segments, Angles Understanding 1

Name: _________________

Date:__________________

1. Draw the line  with slope m = 5/7, passing through point A(-7, 0).

Q1. What is the equation for the line? ________________

   

2. Draw the line with the equation y = 5/7x -3.

3. Label the following points: C(7, 10), D(0, -3), F(14, 7)

Q2. What is needed to find a perpendicular bisector? _____________________________         _________________________________

                                                             __        

4. Draw the perpendicular bisector for AC. Label where the bisector crosses the midpoint of line AC as point B and its intersection of line DF as E.

5.  Label points Y(-5, 12) and Z(5, -2).

Q3. Which existing line contains them?_________________

                                                    __        __

Q4.  How would you describe AB and EF? ______________

                   __                                __

Q5. The mAB = 2x + 5 and the mBC = 4x + 1.4, what is the measure for:

AB ________                   BC ________                   AC ________

Q6. Which postulate/theorem was used to answer Q5? ____________________________

Q7.  Is the following conjecture true, why or why not?      

             

      _______________________________________________

Q8.  Is the following conjecture true, why or why not?    

      _______________________________________________

Q9. If there were a counterexample for Q7 what might it have been?

_____________________________________________________________________

Q10. If there were a counterexample for Q8 what might it have been?

_____________________________________________________________________

6. Using 2 highlighters/markers, highlight two angles which are Same Side Interior Angles.

Q11. Name the Same Side Interior Angles you have highlighted.

      _______________________________________________

7. Using 2 highlighters/markers, highlight two angles which are Alternate Exterior Angles.

Q12. Name the Alternate Exterior Angles you have highlighted.

 

     _______________________________________________

8. Solve for the measure of angle DEZ.

measure of angle YBA = 90 degrees

measure of angle DEZ = ________ degrees