RE YOU COMPLETE THIS EXAM SHOW AS MUCH VORK AS POSSIBLE ONt

RE YOU COMPLETE THIS EXAM. SHOW AS MUCH VORK AS POSSIBLE. ONt PROBLEMS FROM THIS CHAPTER 1-4: Think of each segment in the diagram as part of a line. Name a line parallel to AB containing point G. 3. Name a plane parallel to plane FCG. DH 4. Name a line perpendicular to CH containing point B. Items 5-6: Circle the correct answer and add the postulate number that justifies your answer. SHow many lines can be drawn through A parallel to BC none (one infinitely many according to po?tulate 6./ How many lines can be drawn through B perpendicular to AC? none / one ) infinitely many AMERICAN SCHOOL Lansing, IL A(2509)-04/12-03

Solution

1. GH

2. FG

3. EDH

4. BC

5. One - Parallel postulate

6. One - there is no separate postulate. Using Angle construction and Ruler postulation - can be proven

9. Angle 1 = 75 degre - corresponding angle

Angle 8 = 180-75 = 105 degree - straight line

Angle 7 = 75 degree - vertically opposite angle

Angle 4 = 180 - angle 5 = 180-75 = 105 degree - Consecutive interior angle