Preap Geometry (First and Last)Name:______Period:_____
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PreAP Geometry (First and Last)Name:______Period:_____
A#______
Congruent Complements and Supplements
Reference pg 62 & 63
1. Given: is complementary to , is complementary to
Conclusion: ______Reason: ______2. Given: ,
Conclusion: ______
Reason: ______
3. Given:
Conclusion: ______
Reason: ______
4. Given: bisects
Conclusion: ______Reason: ______
5. Given: is supplementary to , is supplementary to ,
Conclusion: ______Reason: ______
6. Given only diagram A and no additional information
Conclusion: ______Reason: ______Conclusion: ______Reason: ______
Conclusion: ______Reason: ______
Conclusion: ______Reason: ______
Conclusion: ______Reason: ______
7. Given only diagram C and no additional information
Conclusion: ______Reason: ______8. Which angle(s) must be congruent to ? ______Why? ______
If and are supplementary, name all the angles that must be congruent to .
______
Write the name or statement of the definition, postulate, property, or theorem that justifies the statement about the diagram.
9. AD + DB = AB ______
10. ______11. ______
12. If D is the midpoint of , then AD = ½AB. ______
13. If bisects , then . ______
14. ______
15. If , then . ______
16. If , then bisects . ______
17. If , then and are complements. ______18. If and are supplements, then . ______
19. If , then . ______
20. If is complementary to and is complementary to , then . ______
21. If is a right angle, then . ______
22. If , then . ______
Fill in the blanks to complete the following proofs: 23. Given: is supplementary to , is supplementary to
Prove:
Statements Reasons
1. is supplementary to , 1.
is supplementary to ______
2. , 2.
3. 3.
4. 4.
5. 5.
6. 6. 24. Given: , ,
Prove:
Statements Reasons
1. , , 1.
2. is complementary to , 2.
is complementary to
3. 3.
4. 4. Directions: Write a complete proof on your notebook paper. Copy the given, prove & diagram. Show the
given and prove on the diagram. Remember, all reasons must come from the pink sheets.
A. Given:
is a complement of
Prove: B. Given: and are right angles
Prove: C. Given: is supplementary to
is supplementary to
Prove: D. Given:
& are complementary Prove: