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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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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Congruence Statement. Do not write "Triangle" and use "=" for congruence

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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Congruence Statement. Do not write "Triangle" and use "=" for congruence

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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Congruence Statement. Do not write "Triangle" and use "=" for congruence

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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Congruence Statement. Do not write "Triangle" and use "=" for congruence

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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Congruence Statement. Do not write "Triangle" and use "=" for congruence

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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Congruence Statement. Do not write "Triangle" and use "=" for congruence

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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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.

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

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

AB \cong DE
\triangle ABC \cong \triangle CDE
\angle{B} \cong \angle{E}
\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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Put the statements in the correct order to complete the proof.

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

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.

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

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

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

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.

\angle{J} and \angle{M} are right angles
KL \cong NL
L is the midpoint of KN
JK \cong MN
\triangle KJL \cong \triangle NML
\angle{J} \cong \angle{M}
\angle{JLK} \cong \angle{MLN}
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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Put the statements in the correct order to complete the proof.

AB \parallel DC
\triangle ADC \cong \triangle CBA
AC \cong AC
\angle{DAC} \cong \angle{BCA}
\angle{1} \cong \angle{2}
\angle{B} \cong \angle{D}

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.

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

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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Chapter 5 Review

\overline{MN} \cong ___________

MN = ___________

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Statement. Do not write "Triangle" and use "=" for congruence

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 ___________

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

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

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

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

Reason #1

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

\overline{MN} \cong ___________

MN = ___________

m\angle{M} = _______

\overline{SR} \cong _______

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

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

Congruence Postulate

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Postulate

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Postulate

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Postulate

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Postulate

Congruence Statement. Do not write "Triangle" and use "=" for congruence

Congruence Postulate

Congruence Statement. Do not write "Triangle" and use "=" for congruence

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

\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