Mathematics

8th -

12thgrade

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What is hidden? Triangle Congruence Shortcuts

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  • 1. Multiple Choice
    1 minute
    1 pt
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    What is the justification (reason)?
    Reflexive Property
    Symmetric Property
    Transitive Property
    Substitution
  • 2. Multiple Choice
    30 seconds
    1 pt
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    Select the correct statement.

    CC\angle C\cong\angle C because of the vertical angles theorem

    ACBECD\angle ACB\cong\angle ECD because of the vertical angles theorem

    CACD\overline{CA}\cong\overline{CD} because of the definition of a midpoint

    CC\angle C\cong\angle C because of reflexive property of congruency

  • 3. Multiple Choice
    30 seconds
    1 pt
    Image

    What is "hidden" in the diagram? (What else is congruent but not marked with tic marks?)

    TVTV\overline{TV}\cong\overline{TV} ; reflexive property of congruency

    \angle U\cong\angle S ; alternate interior angles theorem

    TUSV\overline{TU}\cong\overline{SV} ; definition of congruency

    nothing is hidden, all of the congruent parts are marked

    \angle U\cong\angle S ; vertical angles theorem

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