5.5 Worksheet

Every proof in this worksheet 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.

AB \cong CD
\triangle ACD \cong \triangle DBA
AD \cong AD
\angle{B} \cong \angle{C}
AC \cong BD

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.

\triangle SRT \cong \triangle ERT
\angle{1} \cong \angle{2}
\angle{S} \cong \angle{E}
RS \cong RE
RT \cong RT
RT bisects \angle{SRE}

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.

\triangle WGD \cong \triangle WKD
GD \cong KD
WD bisects \angle{D}
\angle{3} \cong \angle{4}
\angle{1} \cong \angle{2}
WD bisects \angle{W}
WD \cong WD

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

1

Reason #3

1

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

\triangle MTV \cong \triangle XRV
MT \cong RX
MV \cong XV
V is the midpoint of MX and RT
\angle{1} \cong \angle{2}
RV \cong TV

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

1

Reason #3

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Reason #4

1

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

MP \cong ON
MO \cong MO
OP \cong MN
\angle{N} \cong \angle{P}
\triangle MNO \cong \triangle OPM

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.

\angle{1} \cong \angle{4}
RU \cong TS
US \cong US
\triangle RUS \cong \triangle TSU
UT \cong SR

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.

\angle{B} and \angle{D} are right angles
AC \cong AC
AD \cong BC
\angle{B} \cong \angle{D}
\triangle ABD \cong \triangle DCA
AB \perp BC, AD \perp DC
\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

1

Reason #2

1

Reason #3

1

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

\angle{G} \cong \angle{K}
\triangle GFH \cong \triangle KJH
FH \cong HJ
GF \cong JK
GF \parallel JK
\angle{1} \cong \angle{2}
H is the midpoint of FJ

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

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Reason #1

1

Reason #2

1

Reason #3

1

5.5 Worksheet

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

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

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

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

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

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Reason #5

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

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

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

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

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Reason #5

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

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

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

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

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

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