Writing Equations Of Lines, Parallel Lines And Angles, Justifying Statements With Reasons Worksheet Page 5

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Justifying Statements with Reasons – Oct. 18
Draw a diagram, give a conclusion and justify each statement below.
Statement
Diagram
Conclusion
Justification
1.  4 and 6 are comp
2. mA = 90
3. X is the midpt of WR
4. XR = XY
5. A is between C and R
6. mC = mD
7. AB = CD and CD = ZR
8. m5 + m6 = 180
9. AGR and RGY are
linear pairs
Give one reason that justifies the following.
____________________1. mR = mR
____________________2. If AB  CD, then AB = CD.
____________________3. If mY = mB and mB = mC, then mY = mC.
____________________4. If X is between A and B, then AX + XB = AB.
____________________5. If 1 and 2 are supplementary, then m1 + m2 = 180.
____________________6. If mX = 90, then X is a right angle.
____________________7. If 1 and 2 are vertical angles, then 1  2.
____________________8. If X is the midpoint of CD, then CX  DX.
____________________9. If mA = mB, then A  B.
___________________10. If m3 + m4 = 90, then 3 and 4 are complementary.
___________________11. If 2 and 4 are a linear pair, then  2 and  4 are supplementary.
___________________12. If FR bisects AFP, then AFR  FRP.
___________________13. If 1 and 2 are congruent, then m1 = m2.
___________________14. If AB = CD + EF and CD = 10, then AB = 10 + EF.
___________________15. AB = AB
___________________16. If 2 and 3 are right angles, then 2  3.

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