Problems

1.  If AC=7, BC=15, and AB=8 which point (A, B, or C) lies between the other two?

2.  Always, Sometimes, or Never

        If AF=FC, then A, F, and C are collinear.    _____

 3.    Always, Sometimes, or Never

      If a ray divides an angle into two acute angels, then it bisect the angle.  _____

4.  Solve this problem using the Parallel Postulate.

        If the measure of angle AEG is 140 degrees and the measure of angle GFD is 60, then the   measure of angle G = _____

       

5.  Using the points shown, how many different lines can be drawn if the points are connected two at a time?

       

 

6.  Given:  AE // DF

        Prove:  angle JEA supplementary to angle EFD

 

 

 

Answers

1.  Points A lies between B and C.

2.  Sometimes  

3.  Sometimes

4.  Measure of angle G = 100 degrees

5.  24 lines can be drawn

6.  

1. AE// DF

2. angle EFD supp. angle DFK

3. angle JEA congruent to angle DFK

4. angle JEA supp angle EFD

1. given

2. if two angles form a straight angle, they are supp.

3. if // lines then alt. ext. angles congruent

4. substitution