Вопрос:

12. Analyze the two geometric figures in diagram 12.

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Ответ:

Analysis of Figure 12:

  • The figure contains two separate geometric shapes, both triangles.
  • The first triangle is labeled ABC. Angle C is marked with a square, indicating a right angle (90°). Angle B is given as 60°. Therefore, Angle A = 180° - 90° - 60° = 30°. Side AC is marked with a single tick, and side BC is marked with a double tick, indicating they are of different lengths.
  • The second triangle is labeled MNK. Angle K is marked with a square, indicating a right angle (90°). Angle M is given as 30°. Therefore, Angle N = 180° - 90° - 30° = 60°. Side NK appears shorter than side MN.
  • Comparing the angles of both triangles: Triangle ABC has angles 30°, 60°, 90°. Triangle MNK has angles 30°, 60°, 90°. Since all corresponding angles are equal, the two triangles are similar (AAA similarity criterion).
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