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Chapter 5 Review

Last updated over 3 years ago
97 questions
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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\triangle{STR} \cong \triangle{}_______

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

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 Postulate

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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 Postulate

1

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.
1

Congruence Postulate

1

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.
1

Congruence Postulate

1

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.
1

Congruence Postulate

1

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.
1

Congruence Postulate

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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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\overline{DE} \cong ___________

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m\angle{A} = _______

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\triangle{CAB} \cong \triangle{}_______

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\angle{C} \cong \angle{} _______

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.

  1. AD \cong CB
  2. DB \cong DB
  3. \triangle ABD \cong \triangle CDB
  4. AD \parallel CB
  5. \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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Reason #4

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Reason #5

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

  1. \angle{1} \cong \angle{2}
  2. AB \cong DE
  3. \angle{B} \cong \angle{E}
  4. \triangle ABC \cong \triangle CDE
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.

  1. WY \perp UX
  2. YW \cong YW
  3. \angle{UYW} \cong \angle{XYW}
  4. Y is the midpoint of UX
  5. \angle{UYW} and \angle{XYW} are right angles
  6. UY \cong XY
  7. \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

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Reason #3

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Reason #4

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Reason #5

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Reason #6

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Reason #7

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

  1. AB \cong AD
  2. CA \cong CA
  3. \triangle ABC \cong \triangle ADC
  4. \angle{BAC} \cong \angle{DAC}
  5. 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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Reason #4

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Reason #5

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

  1. MQ \perp MN, NP \perp PQ
  2. \angle{M} \cong \angle{P}
  3. \angle{M} and \angle{P} are right angles
  4. NQ \cong NQ
  5. MN \cong QP
  6. \triangle QMN \cong \triangle NPQ
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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Reason #6

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

  1. L is the midpoint of KN
  2. \triangle KJL \cong \triangle NML
  3. \angle{JLK} \cong \angle{MLN}
  4. JK \perp JM, MN \perp JM
  5. \angle{J} and \angle{M} are right angles
  6. JK \cong MN
  7. KL \cong NL
  8. \angle{J} \cong \angle{M}
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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Reason #6

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Reason #7

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Reason #8

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

  1. \triangle ADC \cong \triangle CBA
  2. \angle{B} \cong \angle{D}
  3. AB \parallel DC
  4. \angle{1} \cong \angle{2}
  5. \angle{DAC} \cong \angle{BCA}
  6. AC \cong AC
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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Reason #6

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

  1. WV \cong VY
  2. \angle{W} \cong \angle{Y}
  3. \triangle WXV \cong \triangle YZV
  4. \angle{WVX} \cong \angle{ZVY}
  5. \angle{X} \cong \angle{Z}
  6. V is the midpoint of WY
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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Reason #6