Given that triangle XYZ is the image of triangle ABC after undergoing transformation, to list the corresponding sides and angles of both triangles, we have:
Corresponding sides:
AB = XY
AC = XZ
BC = YZ
Corresponding angles:
∠A = ∠X
∠B = ∠Y
∠C = ∠Z
Thus,
[tex]\frac{AB}{XY}=\frac{AC}{XZ}=\frac{BC}{YZ}[/tex]
Part B)
To determine a possible sequence of transformation to map ABC to XYZ.
[tex]\text{Scale factor = }\frac{XY}{AB}=\text{ }\frac{2.9}{5.8}\text{ = }\frac{1}{2}[/tex]
We can see there should be a dilation with a scale factor of 1/2 and a reflection over the y-axis.
From the triangles, to map ABC onto XYZ there should be a dilation of triangle ABC with a scale factor of 1/2 AND a reflection over the y-axis.
