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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
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