△ABC to show (i) ΔABC ≈ ΔA'B'C' (ii) ∠A ≅ ∠A'
Shawna used a reflection followed by a dilation to transform
In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
Upon reflection, the orientation of the object may change in the transformed image but no change in shape occurs
So the object and the image is similar to each other.
Upon dilation the size of the object may change in the transformed image, but no change in structure occurs.
The reflected image is dilated to triangle A'B'C'
Here, triangle ABC is reflected, and after dilation the transformed image triangle A'B'C' is similar to triangle ABC.
As no change in shape occurs, only change in size has taken place the angles also do not change so ∠A ≅ ∠A'
Therefore, if Shawna used a reflection followed by a dilation to transform (i) ΔABC ≈ ΔA'B'C' (ii) ∠A ≅ ∠A'
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