We spent some additional time today reviewing for the chapter 6 test tomorrow. We went over the 1st review sheet from Friday, and then worked on the 2nd review sheet in class. The answers to this second review sheet will be posted on this blogsite later this afternoon for the students to check their work.
Assignment: Chapter 6 Review Sheet
Inequality Proofs;
1. done together in class
2. skip
3. statements reasons
angle 1 < angle 3 given
BA parallel to CD given
AC > AD given
angle 3 congruent to angle 2 if lines ll, then AIA congruent
angle 1 < angle 2 substitution
BC > AC longer side will be opposite larger angle
BC > AD subst./ transitive
4. statements reasons
AC bisects angle BAD given
angle 1 congruent to angle 2 def. of bisect
angle 3 = angle 1 + angle B ext. angle = sum of remote int. angles
angle 3 > angle 1 property of inequality
angle 3 > angle 2 substitution
AD > CD longer side will be opposite larger angle
Hinge Theorem worksheet
1. angle 1 > angle 2
2. angle 1 > angle 2
3. ZB > XB
4. HJ > KP
5. angle 2 > angle 1
6. angle 4 > angle 3
7. angle PRS > angle PRQ
8. FH > GE
9. KP > KG
10. x < 14
11. x < 6
12. x > 4
13. x > 7
14. x < 7
15. x < 8
16. x < 80
17. x < 54/7
18. x < 6
19. x > 7
20. x < 7
21. x > 2
Proof
Statement Reasons
AB congruent to AD given
angle ACD = angle B + angle BAC ext. angle = sum of remote int. angles
angle ACD > angle B property of inequality
angle B congruent to angle D if isos. triangle, then base angles congruent
angle ACD > angle D substitution
AC < AD shorter side is opposite the smaller angle
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