We spent time in class today reviewing parallelogram proofs, parallelogram calculations, and working with systems of equations. All three of these topics will be involved on the chapter 5 quiz tomorrow.
Assignment: Chapter 5 Quiz review
Review Sheet Answers
1. 14
2. 20
3. 34
4. 24
5. 17
6. 12
7. 105
8. 75
9. 75
10. 26
11. 121
12. 59
13. 121
14. 49
15. 59
16. 33
17. 26
18. 72
19. 105
20. 68
21. both pair of opposite sides are parallel
both pair of opposite sides are congruent
both pair of opposite angles are congruent
both pair of SSI angles are supplemental
both diagonals bisect
one pair of sides is both congruent and parallel
Proof:
Statements Reasons
ABCD is a parallelogram given
DC congruent to AB if parallelogram, opp. sides congruent
DO congruent to BO if parallelogram, diagonals bisect
CO congruent to AO if parallelogram, diagonals bisect
triangle DCO congruent to tri. BAO SSS
vertical angles could also be used; AIA could also be used
Ways to Prove that Quadrilaterals are Parallelograms
1. 14
2. 24
3. 53
4. 50
5. 6
6. 14
7. 20
8. 25
9. 43
10. both pairs of opp. sides are congruent
11. one pair of opp. sides is both parallel and congruent
12. both pair of opp. sides are parallel
13. diagonals bisect
14. both pairs of opp. angles are congruent
15. Proof.
1. given
2. CPCTC
3. def. of midpoint
4. def. of bisector
5. if diagonals bisect, then PART is a parallelogram
Page 182; #7
See answer in back of book
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