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24 March, 12:07

Which statements are true regarding the transformation triangle SRQ undergoes a ridgid transformation that results in triangle VUT?

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Answers (1)
  1. 24 March, 12:30
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    Angle R corresponds to Angle U.

    UV corresponds to RS.

    Step-by-step explanation:

    The complete question is

    Triangle SRQ undergoes a rigid transformation that results in triangle VUT. 2 right triangles with identical side lengths and angle measures are shown. The second triangle is shifted up and to the right.

    Which statements are true regarding the transformation? Select two options.

    SQ corresponds to VU.

    Angle R corresponds to Angle U.

    UV corresponds to RS.

    Angle S corresponds to Angle T.

    QS corresponds to RS

    we know that

    A translation is a rigid transformation that produce congruent figures

    Remember that

    If two figures are congruent, then its corresponding angles and its corresponding sides are congruent

    In this problem

    Triangle SRQ and Triangle VUT are congruent

    so

    Corresponding sides

    SR≅VU

    RQ≅UT

    SQ≅VT

    Corresponding angles

    ∠S≅∠V

    ∠R≅∠U

    ∠Q≅∠T

    therefore

    Verify each statement

    case 1) SQ corresponds to VU.

    The statement is false

    Because

    SQ correspond to VT

    case 2) Angle R corresponds to Angle U.

    The statement is true (see the explanation)

    case 3) UV corresponds to RS.

    The statement is true (see the explanation)

    case 4) Angle S corresponds to Angle T

    The statement is false

    Because, Angle S correspond to Angle V

    case 5) QS corresponds to RS

    The statement is false

    Because

    QS correspond to TV
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