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11 March, 17:51

Are the two triangles below similar?

Triangles STU and VWX are shown. Angle S equals 28 degrees, Angle T equals 70 degrees, Angle W equals 70 degrees, Angle X equals 92 degrees, side ST equals 8, side WX equals 4, side VX equals 10.

Yes; they have congruent corresponding angles.

Yes; they have proportional corresponding sides.

No; they do not have proportional corresponding sides.

No; they do not have congruent corresponding angles.

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Answers (2)
  1. 11 March, 19:36
    0
    Answer with explanation:

    ⇒Information about ΔSTU

    ∠S=28°

    ∠T=70°

    Third Angle using Angle sum property of Triangle

    ∠U=180°-70°-28°

    =82°

    ST=8 units

    ⇒Description of Δ VWX

    ∠W=70°

    ∠X=92°

    Third Angle using Angle sum property of Triangle

    ∠U=180°-70°-92°

    =18°

    WX=4 units

    VX=10 Units

    Now, In ΔSTU and Δ VWX

    The corresponding Angles of two triangles are not equal. And, the description about corresponding sides are not equal.

    Option D

    No; they do not have congruent corresponding angles.
  2. 11 March, 21:38
    0
    No; they do not have congruent corresponding angles.

    Step-by-step explanation:

    Angle U is ...

    180° - 28° - 70° = 82°

    The "corresponding" angle in ΔVWX is ∠X = 92°. These are not congruent, so the triangles cannot be similar.
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