Answer:
D is correct. 9.2 units is distance from Y to Y'.
Step-by-step explanation:
Triangle XYZ is reflected over its hypotenuse to create a kite.
Therefore, ΔXYZ and ΔXY'Z would be congruent right angle triangle.
Area of triangle XYZ=[tex]\frac{1}{2}\times XY\times YZ[/tex]
Another formula of area of triangle XYZ if base is XZ
Area of triangle XYZ=[tex]\frac{1}{2}\times XZ\times YM[/tex]
Where, XY=5. YZ=12 and XZ=13
[tex]\frac{1}{2}\times YM\times 13=\frac{1}{2}\times 5\times 12[/tex]
[tex]YM=\frac{60}{13}\Rightarrow 4.6\text{ Units}[/tex]
Both triangles are congruent. So, YM=Y'M
YY'=YM+MY'
YY'=4.6+4.6
YY'=9.2 Units
Thus, D is correct. 9.2 units is distance from Y to Y'.
