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.

\angle{B} \cong \angle{C}
AB \cong CD
AD \cong AD
\triangle ACD \cong \triangle DBA
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}
RT bisects \angle{SRE}
RT \cong RT
RS \cong RE
\angle{S} \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

1

Reason #3

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Reason #4

1

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

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

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.

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

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

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.

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

AB \perp BC, AD \perp DC
AD \cong BC
\angle{1} \cong \angle{2}
\angle{B} \cong \angle{D}
\triangle ABD \cong \triangle DCA
AC \cong AC
\angle{B} and \angle{D} are right angles

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.

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

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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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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Reason #4

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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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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Reason #5

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

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Reason #6

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 #6

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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