Respuesta :

calculista

Answer:

Yes, because m<UVW is congruent with m<XVY and m<VUW is congruent with m<VXY

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are equal

In this problem

m<VXY=m<VUW ------> by corresponding angles

m<XVY=m<UVW -----> is the same angle

therefore

m<XYV=m<UWV -------> because the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangles VUW and VXY are similar by AA Similarity Postulate------> The three internal angles are congruent

The angle-angle theorem is satisfied. Then the triangle ΔVXY and ΔVUW are similar to each other. Then the correct option is A.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

In ΔVXY and ΔVUW,

In both the triangle ∠V is common.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

In ΔVXY and ΔVUW

∠VXY = VUW (corresponding angle)

Hence, the angle-angle theorem is satisfied. Then the triangle ΔVXY and ΔVUW are similar to each other.

More about the triangle link is given below.

https://brainly.com/question/25813512

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