5.4 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 ABD \cong \triangle CBD
BD \cong BD
\angle{1} \cong \angle{2}
AB \cong CB

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

1

Reason #1

1

Reason #2

1

Reason #3

1

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

LM \cong AB
\angle{A} \cong \angle{L}
\angle{1} \cong \angle{2}
\triangle ABC \cong \triangle LMC

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

1

Reason #1

1

Reason #2

1

Reason #3

1

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

EF \cong HF
FJ \cong FG
\triangle EFJ \cong \triangle HFG
\angle{1} \cong \angle{2}

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

1

Reason #1

1

Reason #2

1

Reason #3

1

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

GC \cong MJ
GC \parallel MJ
\angle{1} \cong \angle{2}
GM \cong GM
\triangle GCM \cong \triangle MJG

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

1

Reason #1

1

Reason #2

1

Reason #3

1

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

AD \cong CD
AB \cong CB
B is the midpoint of AC
\triangle ABD \cong \triangle CBD
DB \cong DB

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

1

Reason #1

1

Reason #2

1

Reason #3

1

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

RO \perp MP
RO \cong RO
\angle{3} \cong \angle{4}
MO \cong OP
\triangle MRO \cong \triangle PRO
\angle{3} and \angle{4} are right angles

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

1

Reason #1

1

Reason #2

1

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

\triangle ABD \cong \triangle DCA
\angle{C} \cong \angle{B}
AD \cong AD
\angle{1} \cong \angle{2}
AC \parallel BD

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

1

Reason #1

1

Reason #2

1

Reason #3

1

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

YO \cong AO
O is the midpoint of ZX
O is the midpoint of AY
\angle{1} \cong \angle{2}
ZO \cong XO
\triangle ZOA \cong \triangle XOY

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

1

Reason #1

1

Reason #2

1

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

\triangle ABC \cong \triangle CDA
\angle{B} \cong \angle{D}
AC \cong AC
AB \perp BC
\angle{B} and \angle{D} are right angles
AD \cong BC
AD \perp DC

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

1

Reason #1

1

Reason #2

1

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

TQ \cong RQ
RT bisects SV
\triangle SQR \cong \triangle VQT
SV bisects RT
SQ \cong VQ
\angle{1} \cong \angle{2}

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

1

Reason #1

1

Reason #2

1

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

AC \cong EC
BE \parallel AD
\triangle ACD \cong \triangle ECB
\angle{3} \cong \angle{4}
\angle{B} \cong \angle{D}
C is the midpoint of AE

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

1

Reason #1

1

Reason #2

1

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

NP \cong NP
\angle{2} \cong \angle{3}
\triangle MNP \cong \triangle ONP
MN \cong NO
PN bisects \angle{MNO}

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

1

Reason #1

1

Reason #2

1

Reason #3

1

5.4 Worksheet

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

Reason #1

Reason #2

Reason #3

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

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Reason #3

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

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Reason #3

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

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Reason #3

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

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Reason #3

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 #3

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 #2

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 #3

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 #4

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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Reason #6

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