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Geometry WU midterm rvw Name_________________________ Properties State the property, theorem, postulate or definition used to make the conclusion. 1. If UV = VW, then VW = UV. _________________________________________________________ 2. If ∠Q is a right angle, then m∠Q is 90°. ______________________________________________ 3. 2(x – 50) = 2x – 100 ______________________________________________________________ 4. A B C AB + BC = AC ___________________________________________ 5. If ∠1 ≅ ∠2, then m∠1 = m∠2. ______________________________________________________ 6. ∠A ≅ ∠A. _______________________________________________________________________ 7. If 2x + 4 = 17, then 2x = 13. _______________________________________________________ 8. T is the midpoint of SR, then ST ≅ TR. ________________________________________________ 9. If ∠1 ≅ ∠2 and ∠2 ≅ ∠3, then ∠1 ≅ ∠3. _______________________________________________ 10. If ∠ 3 and ∠ 4 are a linear pair, then they are supplementary. ____________________________ 11. If AB bisects ∠ CAD, then ∠CAB ≅ ∠DAB. ____________________________________________ 12. If ∠ 4 and ∠ 5 are supplementary, then m ∠ 4 + m ∠ 5 = 180. ___________________________ Use the diagram below for 13 – 14. a 3 1 2 b 4 13. If a ll b, then m ∠ 1 + m ∠ 2 = 180. _________________________________________________ 14. ∠3 ≅ ∠4 , then a ll b ______________________________________________________________ Geometry WU midterm rvw Name_________________________ Properties State the property, theorem, postulate or definition used to make the conclusion. 1. If UV = VW, then VW = UV. Symmetric Property of Equality 2. If ∠Q is a right angle, then m∠Q is 90°. Def of a Right Angle 3. 2(x – 50) = 2x – 100 Distributive Property 4. A B C AB + BC = AC Segment Addition Postulate 5. If ∠1 ≅ ∠2, then m∠1 = m∠2. Def of Congruent Angles 6. ∠A ≅ ∠A. Reflexive Property of Angle Congruence 7. If 2x + 4 = 17, then 2x = 13. Subtraction Property of Equality 8. T is the midpoint of SR, then ST ≅ TR. Def of Midpoint 9. If ∠1 ≅ ∠2 and ∠2 ≅ ∠3, then ∠1 ≅ ∠3. Transitive Property of Angle Congruence 10. If ∠ 3 and ∠ 4 are a linear pair, then they are supplementary. Linear Pair Postulate 11. If AB bisects ∠ CAD, then ∠CAB ≅ ∠DAB. Def of Angle Bisector 12. If ∠ 4 and ∠ 5 are supplementary, then m ∠ 4 + m ∠ 5 = 180. Def of Supplementary Angles Use the diagram below for 13 – 14. a 3 1 2 b 4 13. If a ll b, then m ∠ 1 + m ∠ 2 = 180. Consecutive Interior Angles Theorem 14. ∠3 ≅ ∠4 , then a ll b Alt Ext Angles Converse