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¿cuáles pares de figuras son congruentes? ¿cuáles pares son semejantes?…

Question

¿cuáles pares de figuras son congruentes? ¿cuáles pares son semejantes?
¿congruente?
¿semejante?
¿congruente?
¿semejante?
¿congruente?
¿semejante?
¿congruente?
¿semejante?

Explanation:

First pair (ellipse and circle)

  • Congruent?
  • Congruent figures have the same shape and size. An ellipse and a circle have different shapes (a circle is a special case of an ellipse, but they are not the same in general). So, the answer is "No" for congruent.
  • Similar?
  • Similar figures have the same shape. A circle and an ellipse do not have the same shape (a circle has constant radius, an ellipse has two different axes). So, the answer is "No" for similar.

Second pair (two T - shaped figures)

  • Congruent?
  • By visual inspection (assuming grid - based size comparison), the two T - shaped figures do not have the same size. So, the answer is "No" for congruent.
  • Similar?
  • They have the same shape (T - shape). So, the answer is "Yes" for similar.

Third pair (two triangles)

  • Congruent?
  • By visual inspection (assuming grid - based size comparison), the two triangles do not have the same size. So, the answer is "No" for congruent.
  • Similar?
  • They have the same shape (triangular). So, the answer is "Yes" for similar.

Fourth pair (two squares)

  • Congruent?
  • By visual inspection (assuming grid - based size comparison), the two squares do not have the same size. So, the answer is "No" for congruent.
  • Similar?
  • They have the same shape (square). So, the answer is "Yes" for similar.

Answer:

  • First pair: Congruente? No; Semejante? No
  • Second pair: Congruente? No; Semejante? Sí
  • Third pair: Congruente? No; Semejante? Sí
  • Fourth pair: Congruente? No; Semejante? Sí