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Zepler [3.9K]
2 years ago
10

How can ΔABC be mapped to ΔXYZ?

Mathematics
2 answers:
Fynjy0 [20]2 years ago
3 0

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.

Anastaziya [24]2 years ago
3 0

Answer:

Here is the correct answer

Step-by-step explanation:

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see the attached figure to better understand the problem

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