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.

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

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

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.

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

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.

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

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.

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

\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

1

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

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 \cong JK
\angle{1} \cong \angle{2}
H is the midpoint of FJ
FH \cong HJ
GF \parallel JK

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

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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Reason #4

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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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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