If b=2 and c=3, then
a= √(3²-2²) = √(9-4) = √5
If a=3 and c=6, then
b= √(6²-2²) = √(36-9) = √27 = 3√3
If a=4 and b=6, then
c= √(4²+6²) = √(16+36) = √52 = 2√13
The option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.
<h3>What is geometric transformation?</h3>
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:
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Answer:
Do these pairs of values (x and y) represent two quantities that are
proportional?