Question

A similarity transformation maps `Delta`ABC to `Delta`JKL. The measure of `/_A` of preimage `Delta`ABC is 105°. The scale factor of the dilation in the similarity transformation is 1.5. If `/_A` in the preimage corresponds to `/_J` in the image, what is m`/_J`?

Answer 1

Please note that dilation does not affect angles. Thus, if an image is dilated the angle remains the same and does not change.

Therefore, even if
`\Delta ABC` is dilated to
`\Delta JKL` by a factor of 1.5 (or by any factor for that matter), the linear dimensions of the original triangle
`\Delta ABC` will either get stretched or get shrunk by a factor of 1.5 but the angles of the original triangle will not be affected in any case.

Please note that this is true for all two dimensional geometric shapes.