5.2 - 5.3 Worksheet - Amber Nicholson | Library

Using the diagram below, for the next 4 questions, name the included angle between each pair of sides given.  Do not include the angle symbol.

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MT and TR

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TQ and RT

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RT and MR

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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.  If the third congruence is a pair of angles, state Angle ___ = Angle ___

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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{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}

Use the ASA Congruence Postulate

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\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}

Use the AAS Congruence Postulate

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\angle{A} and \angle{D} are right angles, \overline{AC} \cong \overline{DF}

Use the HL Congruence Postulate

For the next 6 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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\overline{AB} \cong \overline{DE}, \overline{CB} \cong \overline{FE}, \overline{FD} \cong \overline{CA}

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\angle{A} \cong \angle{D}, \overline{CA} \cong \overline{FD}, \overline{BC} \cong \overline{EF}

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\angle{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}, \angle{A} \cong \angle{D}

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\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}, \angle{A} \cong \angle{D}

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\angle{C} and \angle{F} are right angles, \overline{AC} \cong \overline{DF}, \overline{AB} \cong \overline{DE}

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5.2 - 5.3 Worksheet

5.2 - 5.3 Worksheet

MT and TR

TQ and RT

RT and MR

\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{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}

Use the ASA Congruence Postulate

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}

Use the AAS Congruence Postulate

\angle{A} and \angle{D} are right angles, \overline{AC} \cong \overline{DF}

Use the HL Congruence Postulate

\overline{AB} \cong \overline{DE}, \overline{CB} \cong \overline{FE}, \overline{FD} \cong \overline{CA}

\angle{A} \cong \angle{D}, \overline{CA} \cong \overline{FD}, \overline{BC} \cong \overline{EF}

\angle{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}, \angle{A} \cong \angle{D}

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}, \angle{A} \cong \angle{D}

\angle{C} and \angle{F} are right angles, \overline{AC} \cong \overline{DF}, \overline{AB} \cong \overline{DE}

\angle{B} and \angle{E} are right angles, \overline{BC} \cong \overline{EF}, \overline{AB} \cong \overline{DE}

MT and TR

TQ and RT

RT and MR

TQ and RQ

\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{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}

Use the ASA Congruence Postulate

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}

Use the AAS Congruence Postulate

\angle{A} and \angle{D} are right angles, \overline{AC} \cong \overline{DF}

Use the HL Congruence Postulate

\overline{AB} \cong \overline{DE}, \overline{CB} \cong \overline{FE}, \overline{FD} \cong \overline{CA}

\angle{A} \cong \angle{D}, \overline{CA} \cong \overline{FD}, \overline{BC} \cong \overline{EF}

\angle{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}, \angle{A} \cong \angle{D}

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}, \angle{A} \cong \angle{D}

\angle{C} and \angle{F} are right angles, \overline{AC} \cong \overline{DF}, \overline{AB} \cong \overline{DE}

\angle{B} and \angle{E} are right angles, \overline{BC} \cong \overline{EF}, \overline{AB} \cong \overline{DE}

TQ and RQ

5.2 - 5.3 Worksheet

5.2 - 5.3 Worksheet

MT and TR

TQ and RT

RT and MR

\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{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}Use the ASA Congruence Postulate

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}Use the AAS Congruence Postulate

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

\overline{AB} \cong \overline{DE}, \overline{CB} \cong \overline{FE}, \overline{FD} \cong \overline{CA}

\angle{A} \cong \angle{D}, \overline{CA} \cong \overline{FD}, \overline{BC} \cong \overline{EF}

\angle{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}, \angle{A} \cong \angle{D}

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}, \angle{A} \cong \angle{D}

\angle{C} and \angle{F} are right angles, \overline{AC} \cong \overline{DF}, \overline{AB} \cong \overline{DE}

\angle{B} and \angle{E} are right angles, \overline{BC} \cong \overline{EF}, \overline{AB} \cong \overline{DE}

MT and TR

TQ and RT

RT and MR

TQ and RQ

\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{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}Use the ASA Congruence Postulate

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}Use the AAS Congruence Postulate

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

\overline{AB} \cong \overline{DE}, \overline{CB} \cong \overline{FE}, \overline{FD} \cong \overline{CA}

\angle{A} \cong \angle{D}, \overline{CA} \cong \overline{FD}, \overline{BC} \cong \overline{EF}

\angle{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}, \angle{A} \cong \angle{D}

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}, \angle{A} \cong \angle{D}

\angle{C} and \angle{F} are right angles, \overline{AC} \cong \overline{DF}, \overline{AB} \cong \overline{DE}

\angle{B} and \angle{E} are right angles, \overline{BC} \cong \overline{EF}, \overline{AB} \cong \overline{DE}

TQ and RQ

\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{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}

Use the ASA Congruence Postulate

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}

Use the AAS Congruence Postulate

\angle{A} and \angle{D} are right angles, \overline{AC} \cong \overline{DF}

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{B} \cong \angle{E}, \overline{AB} \cong \overline{DE}

Use the ASA Congruence Postulate

\angle{B} \cong \angle{E}, \angle{C} \cong \angle{F}

Use the AAS Congruence Postulate

\angle{A} and \angle{D} are right angles, \overline{AC} \cong \overline{DF}

Use the HL Congruence Postulate