The option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.
What is geometric transformation?
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a triangle XYZ shown in the diagram, and triangle LMN is the reflection of the triangle XYZ.
∠Z = 180 - 86-38 = 56°
Similarly,
∠L = 38°
From this, two triangles XYZ and LMN
We can say:
ΔXYZ≅ΔLMN
∠Y = ∠M = 86°
∠X =∠L = 38°
XZ ≅ LN
Thus, the option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.
Learn more about the geometric transformation here:
brainly.com/question/16156895
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