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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.

Respuesta :

sqdancefan

Answer:

Ā  No; they do not have congruent corresponding angles.

Step-by-step explanation:

Angle U is ...

Ā  180Ā° -28Ā° -70Ā° = 82Ā°

The "corresponding" angle in Ī”VWX is āˆ X = 92Ā°. These are not congruent, so the triangles cannot be similar.

Answer with explanation:

ā‡’Information about Ī”STU

āˆ S=28Ā°

āˆ T=70Ā°

Third Angle using Angle sum property of Triangle

āˆ U=180Ā°-70Ā°-28Ā°

Ā  Ā  =82Ā°

ST=8 units

ā‡’Description of Ī” VWX

āˆ W=70Ā°

āˆ X=92Ā°

Third Angle using Angle sum property of Triangle

āˆ U=180Ā°-70Ā°-92Ā°

Ā  Ā  =18Ā°

WX=4 units

VX=10 Units

Now, In Ī”STU and Ī” 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.

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