Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. M∠X'Z'Y' = 90° m∠MCY = 90° XX' ≅ YY' BZ' ≅ BZ XY || X'Y

Respuesta :

Answer:

1.m∠X'Z'Y' = 90°

2.m∠MCY = 90°

4.BZ' ≅ BZ

on edge

Step-by-step explanation:

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The true statements about the reflection shown in picture attached are :

  • M∠X'Z'Y' = 90°
  • M∠X'Z'Y' = 90°m∠MCY = 90°
  • M∠X'Z'Y' = 90°m∠MCY = 90°BZ' ≅ BZ

When reflection of a preimage occurs, the image produced is congruent to the preimage because reflection produces isometric images. This means that both the preimage and image are similar in shape and size.

  • Since m∠XZY = 90°, will be congruent with the angle m∠X'Z'Y' ; Hence, m∠X'Z'Y' = 90°

  • The segment MN and YY' are perpendicular, hence forming a right angle. m∠MCY = 90°
  • B is the midpoint between ZZ'. Hence, the distance between BZ' and BZ will be the same. BZ' ≅ BZ
  • From the image produced, XY and X'Y are not parallel

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