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How can ΔABC be mapped to ΔXYZ?

Triangles A B C and X Y Z are shown. The lengths of sides A B and X Y are 25 centimeters. The lengths of sides A C and X Z are 29 centimeters. Angles B A C and Y X Z are 36 degrees. Triangle A B C is slightly higher and to the left of triangle X Y Z. Triangle A B C is rotated to form triangle X Y Z.

First, translate ____________________. Next, rotate ΔABC about B to align the sides and angles.

vertex B to vertex Z
vertex B to vertex Y
vertex A to vertex Z
vertex A to vertex Y

How can ΔABC be mapped to ΔXYZ Triangles A B C and X Y Z are shown The lengths of sides A B and X Y are 25 centimeters The lengths of sides A C and X Z are 29 c class=

Respuesta :

frika

Answer:

Vertex B to vertex Y

Step-by-step explanation:

The diagram shows two triangles ABC and XYZ. These triangles are congruent by SAS postulate, because

  • AB = XY = 25 cm;
  • AC = XZ = 29 cm;
  • ∠A = ∠X = 36°.

Congruent triangles have congruent corresponding sides and angles, so translation and rotation must be completed such that

  • vertex A coincides with vertex X;
  • vertex B coincides with vertex Y;
  • vertex C coincides with vertex Z.

So, first, translate vertex B to vertex Y. Next, rotate ΔABC about B to align the sides and angles.

laiken20

Answer:

B. vertex B to vertex Y

Step-by-step explanation:

Credit to the person above!!!

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