Geometry Name _____________________________________ Section 5.6 Homework worksheet For numbers 1 3, compare the given measures using <, >, or =. – 1. and 2. and 3. and mBAC mDGE SR XY PS SR 4. Find the range of possible values for x. 5. In the diagram, a is shown lifting an object to two different heights. The length of the crane’s arm is fixed, and . Is or shorter? Explain your reasoning. 6. Complete the following proof: Given: , , > VW WX Prove: > mUZX mUZV Statements Reasons 1. 1. Given 2. 2. Given 3. 3. XUW  VWU 4. 4. UXV  WVX 5. 5. XZU  VZW 6. 6. 7. 7. > VW WX 8. Given 8. > mVZW mWZX 9. 9. VZW  UZX 10. 10. WZX  UZV 11. 11. = mVZW mUZX 12. 12. = mWZX mUZV 13. 13. > mUZX mUZV
Geometry Name _____________________________________ Section 5.6 Homework worksheet For numbers 1 – 3, compare the given measures using <, >, or =. 1. mBAC and mDGE 2. SR and XY 3. PS and SR 4. Find the range of possible values for x. 5. In the diagram, a is shown lifting an object to two different heights. The length of the crane’s arm is fixed, and . Is or shorter? Explain your reasoning. 6. Complete the following proof: Given: , , VW > WX Prove: mUZX > mUZV Statements Reasons 1. 2. 3. XUW  VWU 4. UXV  WVX 5. XZU  VZW 6. 7. VW > WX 8. mVZW > mWZX 9. VZW  UZX 10. WZX  UZV 11. mVZW = mUZX 12. mWZX = mUZV 13. mUZX > mUZV 1. Given 2. Given 3. 4. 5. 6. 7. 8. Given 9. 10. 11. 12. 13.