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XYZ was reflected over a vertical line, then dilated by a scale factor of 1/2 , resulting X’Y’X’. Which must be true of the two triangles? Select 3 options

XYZ was reflected over a vertical line then dilated by a scale factor of 12 resulting XYX Which must be true of the two triangles Select 3 options class=

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Answer:

pick the first one and the middle and one after that

Step-by-step explanation:

i have the same thing and i got it right

MrRoyal

Reflection and dilation are instances of transforming a triangle.

The true options are:

  • [tex]\triangle XYZ \sim \triangle X'Y'Z'[/tex].
  • [tex]\angle XZY \cong \angle Y'Z'X'[/tex].
  • [tex]XZ = 2X'Z'[/tex]

First, triangle XYZ is reflected over a vertical line.

Then dilated by 1/2 to form X'Y'Z'

The above highlights mean that:

[tex]X'Y'Z' = \frac 12 \times XYZ[/tex]

i.e. the side lengths of triangle X'Y'Z' is half the side lengths of the original triangle XYZ

This means that:

  • The triangles are similar: option (a) is true
  • The angles are congruent: option (b) is true
  • The side lengths of XYZ are twice the side lengths of X'YZ': option (d) is true

Read more about transformation at:

https://brainly.com/question/13801312

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