Download ExamView - Geometry CR 6.tst

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For full credit you will show all work.
Geometry Cumulative Review 6
1. Identify the property of congruence.
If ∠Q ≅ ∠R, then ∠R ≅ ∠Q.
2. Provide the reasons for each statement in the proof.
Given: AB = DE
Prove: AD = BE
Statement
Reason
AB = DE
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AB + BD = DE + BD
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AB + BD = AD, DE + BD = BE
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AD = BE
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3. Provide the reasons for each statement in the proof.
Given: m∠1 = m∠3
Prove: m∠AFC = m∠DFB
Statement
Reason
m∠1 = m∠3
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m∠1 + m∠2 = m∠3 + m∠2
___________________________
m∠1 + m∠2 = m∠AFC, m∠3 + m∠2 = m∠DFB
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m∠AFC = m∠DFB
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7. Solve for x.
4. In the figure (not drawn to scale), MO bisects
∠LMN, m∠LMO = (13x − 31)°, and
m∠NMO = (x + 53)°. Solve for x and find m∠LMN.
8. ∠1 and ∠2 are supplementary angles. ∠1 and ∠3
are vertical angles. m∠2=67°. Find m∠3.
Choose the appropriate word to fill in the blank.
“always, never or sometimes”
9. ∠QVR ≅ ∠RVS and ∠RVS ≅ ∠SVT . If m∠TVU =
30°, what is m∠QVR? Justify your answer.
5. Two distinct points are ____ connected by two
distinct lines.
6. If two distinct lines intersect, their intersection is
____ one point.
10. Simplify.
30· 12
Essay Question (5 points):
To receive full credit, you will write clearly and legibly, and use complete sentences in paragraph form.
11. Explain the difference between a linear pair and a pair of supplementary angles.
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