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Triangles X Y Z and X prime Y prime Z prime are shown.
ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'

Sagot :

Answer:

1,2,4

Step-by-step explanation:

I just took the test and got it right and its the only logical answer.

akposevictor

If ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:

1. △XYZ ~ △X'Y'Z'

2. AngleXZY ≅ AngleY'Z'X'

4. XZ = 2X'Z'

Dilation of Shapes

  • When a shape is dilated, the new image formed is similar to the original shape.
  • Similar shapes have proportional side but congruent corresponding angles.

Thus, if ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:

1. △XYZ ~ △X'Y'Z'

2. AngleXZY ≅ AngleY'Z'X'

4. XZ = 2X'Z'

Learn more about dilation on:

https://brainly.com/question/10253650

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