Download ALGEBRA 2 WKST

PROOF GEOMETRY
GWKSHT 2.1
CHAPTER 2SECTION1
NAME_________________________________ HR_____
DATE_____/_____/_____
In each box, describe the steps of the inductive reasoning process.
MAKE A CONJECTURE BY COMPLETING THE NEXT ITEM IN EACH SEQUENCE.
1.
4.
____________
2. 1, 2, 4, 8, 16 , __________
____________
3. 2, -6, 18, -54, ____________
5.
1 5 7
,1, , ,3 ,____________
3 3 3
MAKE A CONJECTURE BASED ON THE INFORMATION GIVEN. DRAW A FIGURE TO ILLUSTRATE YOUR
CONJECTURE.
6. Lines l and m are perpendicular.
7. 3 & 4 form a linear pair
8. HIJK is a square.
9.  A is a right angle.
10. BD is an angle bisector of ABC
11. 1 & 2 form a right angle
12. ABC & DBE are vertical angles.
13. M is the midpoint of AB
DETERMINE WHETHER EACH CONJECTURE IS TRUE OR FALSE. GIVE A COUNTEREXAMPLE FOR ANY
FALSE CONJECTURE.
14. Given: JK = KL = LM = MJ
Conjecture: JKLM forms a square.
15. Given: n is a real number
Conjecture: n 2 is a nonnegative number.
True or False? __________
True or False? __________
Counterexample if necessary:
Counterexample if necessary:
16. Given: Points W, X, Y, and Z
17. Given: 1 & 2 are complementary angles
Conjecture: W, X, Y,and Z are collinear
Conjecture: 1 & 2 form a right angle
True or False? __________
True or False? __________
Counterexample if necessary:
Counterexample if necessary:
18. Given: Points A, B and C are collinear
19. Given: ABC & DEF are supplementary
Conjecture: AB + BC = AC
Conjecture: ABC & DEF form a linear pair
True or False? __________
True or False? __________
Counterexample if necessary:
Counterexample if necessary:
20. Given: DE  EF
21. Given: 1 & 2 are adjacent angles
Conjecture: DEF is a right angle
Conjecture: 1 & 2 form a linear pair
True or False? __________
True or False? __________
Counterexample if necessary:
Counterexample if necessary: