Chapter 5 Review - Proofs - Amber Nicholson | Library

Every proof in this review is displayed in two different sections.  In the first section, reorder the statements in the correct order.  In the second section, using the correct order from the first section, determine each reason associated with each correct statement.

1

Put the statements in the correct order to complete the proof.

\triangle ABD \cong \triangle CDB
AD \parallel CB
DB \cong DB
\angle{1} \cong \angle{4}
AD \cong CB

Using the correct order of the proof completed above, state the reasons for each step.

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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

1

Put the statements in the correct order to complete the proof.

AB \cong DE
\angle{1} \cong \angle{2}
\triangle ABC \cong \triangle CDE
\angle{B} \cong \angle{E}

Using the correct order of the proof completed above, state the reasons for each step.

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Reason #1

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Reason #2

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Reason #3

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Reason #4

1

Put the statements in the correct order to complete the proof.

UY \cong XY
YW \cong YW
Y is the midpoint of UX
\angle{1} and \angle{2} are right angles
\angle{1} \cong \angle{2}
\triangle WUY \cong \triangle WXY
WY \perp UX

Using the correct order of the proof completed above, state the reasons for each step.

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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

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Reason #6

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Reason #7

1

Put the statements in the correct order to complete the proof.

CA \cong CA
\triangle ABC \cong \triangle ADC
AB \cong AD
\angle{1} \cong \angle{2}
AC bisects \angle{BAD}

Using the correct order of the proof completed above, state the reasons for each step.

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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

1

Put the statements in the correct order to complete the proof.

NQ \cong NQ
MN \cong QP
\angle{M} \cong \angle{P}
\triangle QMN \cong \triangle NPQ
\angle{M} and \angle{P} are right angles
MQ \perp MN, NP \perp PQ

Using the correct order of the proof completed above, state the reasons for each step.

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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

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Reason #6

1

Put the statements in the correct order to complete the proof.

\angle{J} and \angle{M} are right angles
KL \cong NL
\triangle KJL \cong \triangle NML
JK \cong MN
\angle{J} \cong \angle{M}
\angle{1} \cong \angle{2}
JK \perp JM, MN \perp JM
L is the midpoint of KN

Using the correct order of the proof completed above, state the reasons for each step.

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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

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Reason #6

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Reason #7

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Reason #8

1

Put the statements in the correct order to complete the proof.

AC \cong AC
\angle{B} \cong \angle{D}
\angle{1} \cong \angle{2}
\triangle ADC \cong \triangle CBA
AB \parallel DC
\angle{DAC} \cong \angle{BCA}

Using the correct order of the proof completed above, state the reasons for each step.

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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

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Reason #6

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Put the statements in the correct order to complete the proof.

\angle{W} \cong \angle{Y}
\angle{X} \cong \angle{Z}
V is the midpoint of WY
\triangle WXV \cong \triangle YZV
WV \cong VY
\angle{1} \cong \angle{2}

Using the correct order of the proof completed above, state the reasons for each step.

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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

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