Chapter 5 Review

In the diagram below, \triangle{LMN} \cong \triangle{RST}. Complete each statement for the next 6 questions.

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\overline{MN} \cong ___________

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MN = ___________

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m\angle{M} = _______

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\overline{SR} \cong _______

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If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.

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If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.

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If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.

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If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.

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If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.

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If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.

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Using the diagram below, for the next 2 questions, name the included angle between each pair of sides given. Do not include the angle symbol.

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XY and YW

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ZW and YW

For the next 5 questions, state the third congruence that must be given to prove that \triangle{ABC} \cong \triangle{DEF} using the indicated postulate. Use the "=" symbol for congruence.

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\overline{AB} \cong \overline{DE}, \overline{CB} \cong \overline{FE}
Use the SSS Congruence Postulate

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\angle{A} \cong \angle{D}, \overline{CA} \cong \overline{FD}
Use the SAS Congruence Postulate

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\angle{A} \cong \angle{D}, \angle{B} \cong \angle{E}
Use the ASA Congruence Postulate

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\angle{A} \cong \angle{D}, \angle{B} \cong \angle{E}
Use the AAS Congruence Postulate

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\angle{A} and \angle{D} are right angles, \overline{AB} \cong \overline{DE}
Use the HL Congruence Postulate

For the next 4 questions, tell whether you can use the given information to determine if \triangle{ABC} \cong \triangle{DEF}. If they are congruent, state the postulate that allows you to do so. If they are not congruent, state "Not Congruent".

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\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}, \overline{AC} \cong \overline{DF}

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\overline{AB} \cong \overline{DE}, \overline{BC} \cong \overline{EF}, \overline{AC} \cong \overline{DF}

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\angle{A} \cong \angle{D}, \overline{AB} \cong \overline{DE}, \overline{AC} \cong \overline{DF}

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\angle{C} \cong \angle{F}, \overline{AC} \cong \overline{DF}, \overline{AB} \cong \overline{DE}

In the diagram below, \triangle{ABC} \cong \triangle{DEF}. Complete each statement for the next 6 questions.

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m\angle{C} = _______

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\overline{BC} \cong ___________

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\overline{DE} \cong ___________

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m\angle{A} = _______

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Use the diagram below for the next 2 questions.

\triangle{ABC} \cong \triangle{DEF}

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Find the value of x.

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Find the value of y.

Use the diagram below for the next 2 questions.

\triangle{RST} \cong \triangle{UVW}

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Find the value of x.

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Find the value of y.

Use the diagram below for the next 2 questions.

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Find the value of x.

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Find the value of y.

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What does CPCTC stand for?

Every proof in this review 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.

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

\angle{1} \cong \angle{4}
AD \cong CB
\triangle ABD \cong \triangle CDB
AD \parallel CB
DB \cong DB

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

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

\triangle ABC \cong \triangle CDE
AB \cong DE
\angle{1} \cong \angle{2}
\angle{B} \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

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Reason #3

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Reason #4

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

Y is the midpoint of UX
\angle{UYW} \cong \angle{XYW}
YW \cong YW
WY \perp UX
\angle{UYW} and \angle{XYW} are right angles
UY \cong XY
\triangle WUY \cong \triangle WXY

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

AC bisects \angle{BAD}
\triangle ABC \cong \triangle ADC
CA \cong CA
\angle{BAC} \cong \angle{DAC}
AB \cong AD

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

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

\triangle QMN \cong \triangle NPQ
\angle{M} and \angle{P} are right angles
NQ \cong NQ
\angle{M} \cong \angle{P}
MQ \perp MN, NP \perp PQ
MN \cong QP

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

\angle{JLK} \cong \angle{MLN}
\triangle KJL \cong \triangle NML
JK \cong MN
KL \cong NL
L is the midpoint of KN
\angle{J} \cong \angle{M}
\angle{J} and \angle{M} are right angles
JK \perp JM, MN \perp JM

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

\triangle ADC \cong \triangle CBA
AC \cong AC
\angle{B} \cong \angle{D}
\angle{DAC} \cong \angle{BCA}
AB \parallel 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

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Reason #2

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Reason #3

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Reason #4

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

V is the midpoint of WY
\angle{WVX} \cong \angle{ZVY}
WV \cong VY
\angle{W} \cong \angle{Y}
\triangle WXV \cong \triangle YZV
\angle{X} \cong \angle{Z}

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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Chapter 5 Review

\overline{MN} \cong ___________

MN = ___________

m\angle{M} = _______

\overline{SR} \cong _______

Congruence Postulate

Congruence Postulate

Congruence Postulate

Congruence Postulate

Congruence Postulate

Congruence Postulate

XY and YW

ZW and YW

\overline{AB} \cong \overline{DE}, \overline{CB} \cong \overline{FE}Use the SSS Congruence Postulate

\angle{A} \cong \angle{D}, \overline{CA} \cong \overline{FD}Use the SAS Congruence Postulate

\angle{A} \cong \angle{D}, \angle{B} \cong \angle{E}Use the ASA Congruence Postulate

\angle{A} \cong \angle{D}, \angle{B} \cong \angle{E}Use the AAS Congruence Postulate

\angle{A} and \angle{D} are right angles, \overline{AB} \cong \overline{DE}Use the HL Congruence Postulate

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}, \overline{AC} \cong \overline{DF}

\overline{AB} \cong \overline{DE}, \overline{BC} \cong \overline{EF}, \overline{AC} \cong \overline{DF}

\angle{A} \cong \angle{D}, \overline{AB} \cong \overline{DE}, \overline{AC} \cong \overline{DF}

\angle{C} \cong \angle{F}, \overline{AC} \cong \overline{DF}, \overline{AB} \cong \overline{DE}

m\angle{C} = _______

\overline{BC} \cong ___________

\overline{DE} \cong ___________

m\angle{A} = _______

Find the value of x.

Find the value of y.

Find the value of x.

Find the value of y.

Find the value of x.

Find the value of y.

What does CPCTC stand for?

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

Reason #1

Reason #2

Reason #3

Reason #4

Reason #5

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

Reason #1

Reason #2

Reason #3

Reason #4

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.

Reason #1

Reason #2

Reason #3

Reason #4

Reason #5

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

Reason #1

Reason #2

Reason #3

Reason #4

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

Reason #1

Reason #2

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

Reason #1

Reason #2

Reason #3

Reason #4

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

Reason #1

Reason #2

Reason #3

Reason #4

\overline{MN} \cong ___________

MN = ___________

m\angle{M} = _______

\overline{SR} \cong _______

\triangle{STR} \cong \triangle{}_______

\angle{L} \cong \angle{} _______

Congruence Postulate

\overline{AB} \cong \overline{DE}, \overline{CB} \cong \overline{FE}
Use the SSS Congruence Postulate

\angle{A} \cong \angle{D}, \overline{CA} \cong \overline{FD}
Use the SAS Congruence Postulate

\angle{A} \cong \angle{D}, \angle{B} \cong \angle{E}
Use the ASA Congruence Postulate

\angle{A} \cong \angle{D}, \angle{B} \cong \angle{E}
Use the AAS Congruence Postulate

\angle{A} and \angle{D} are right angles, \overline{AB} \cong \overline{DE}
Use the HL Congruence Postulate

\overline{AB} \cong \overline{DE}, \overline{CB} \cong \overline{FE}
Use the SSS Congruence Postulate

\angle{A} \cong \angle{D}, \overline{CA} \cong \overline{FD}
Use the SAS Congruence Postulate

\angle{A} \cong \angle{D}, \angle{B} \cong \angle{E}
Use the ASA Congruence Postulate

\angle{A} \cong \angle{D}, \angle{B} \cong \angle{E}
Use the AAS Congruence Postulate

\angle{A} and \angle{D} are right angles, \overline{AB} \cong \overline{DE}
Use the HL Congruence Postulate