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.

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

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.

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

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

Reason #4

1

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

WD bisects \angle{D}
\triangle WGD \cong \triangle WKD
WD bisects \angle{W}
\angle{3} \cong \angle{4}
WD \cong WD
GD \cong KD
\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{1} \cong \angle{2}
MV \cong XV
MT \cong RX
RV \cong TV
V is the midpoint of MX and RT
\triangle MTV \cong \triangle XRV

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
MO \cong MO
OP \cong MN
\angle{N} \cong \angle{P}

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

1

Reason #3

1

Reason #4

1

Reason #5

1

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

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

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

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1

Reason #1

1

Reason #2

1

Reason #3

1

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

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

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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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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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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