Download ALGEBRA 2 WKST

PROOF GEOMETRY
CHAPTER 2 WKST
SECTION 4 REVIEW
NAME__________________________________________ HR_____
DATE______/_____/_____
DETERMINE WHETHER THE STATED CONCLUSION IS VALID BASED ON THE GIVEN INFORMATION. IF
NOT, WRITE INVALID. EXPLAIN YOUR REASONING.
If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
1. Given: R is the midpoint of QS .
Conclusion: QR  RS
2. Given: AB  BC
Conclusion: B divides AC into 2  segments
Valid? __________ If so, why? _______________
Valid? __________ If so why?: ______________________
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If the sum of the measures of two angles is 180, then the angles are supplementary.
3. Given: mA  mB  180
Conclusion: A & B are supplementary
4. Given: mABC  95 & mDEF  90
Conclusion: ABC & DEF are supplementary
Valid? __________ If so, why? _______________
Valid? __________ If so why?: ______________________
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5. Given: 1 & 2 form a linear pair
Conclusion: 1 & 2 are supplementary
6. Given:
Valid? __________ If so, why? _______________
Valid? __________ If so why?: ______________________
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FOR PROBLEMS 6-10, USE THE LAW OF SYLLOGISM OR LAW OF DETACHMENT TO DETERMINE
WHETHER A VALID CONCLUSION CAN BE REACHED FROM EACH SET OF STATEMENTS. IF A VALID
CONCLUSION IS POSSIBLE WRITE IT AND STATE THE LAW USED. IF NOT, WRITE INVALID.
6. If two angles are complementary, then the sum of their measures is 90.
If the sum of the measures of two angles is 90, then both of the angles are acute.
Conclusion:____________________________________________________________________ Law: _______
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7. If the heat wave continues, then air conditioning will be used more frequently.
The heat wave is continuing.
Conclusion:____________________________________________________________________ Law: _______
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8. If two angles form a linear pair, then the two angles are supplementary.
If two angles are supplementary, then the sum of their measures is 180.
Conclusion:____________________________________________________________________ Law: _______
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9. All right angles measure 90 degrees.
 A is a right angle.
Conclusion:____________________________________________________________________ Law: _______
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10. Geometry is fun.
Science is fun.
Conclusion:____________________________________________________________________ Law: _______
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DETERMINE WHETHER STATEMENT (3) FOLLOWS FROM STATEMENTS (1) AND (2) BY THE LAW
OF DETACHMENT OR THE LAW OF SYLLOGISM. IF IT DOES, STATE WHICH LAW WAS USED. IF
IT DOES NOT, WRITE INVALID.
11. (1) If a whole number is even, then its square is divisible by 4.
(2) The number I am thinking of is an even whole number.
(3) The square of the number I am thinking of is divisible by 4.
Valid? __________ Law? _________________________________
12. (1) If the football team wins its homecoming game, then Conrad will attend the school dance on Friday.
(2) Conrad attends the school dance on Friday.
(3) The football team won the homecoming game.
Valid? __________ Law? _________________________________
13. (1) If it is Tuesday, then Marla tutors chemistry.
(2) If Marla tutors chemistry, then she arrives home at 4 pm.
(3) If it is Tuesday, then Marla arrives home at 4 pm.
14. (1) If a marine animal is a starfish, then it lives in the intertidal zone of the ocean.
(2) The intertidal zone is the least stable of the ocean zones.
(3) If a marine animal is a starfish, then it lives in the least stable of the ocean zones.
Valid? __________ Law? _________________________________