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