Question

Triangle PQR is scaled up by a factor of 2 and then reflected about the y axis and is named as triangle XYZ. Which statement is true?

Answer 1

$\triangle PQR$ is not congruent to $\Delta XYZ$ because a non-rigid motion was performed. (Correct choice: B)

A motion is rigid if and only if the Euclidean distance between any two points of an affected geometrical figure is conserved, there are four operations considered for rigid motion:

1. Translation
2. Rotation
3. Reflection
4. Glide reflection

Thus, scaling is not a rigid motion as Euclidean distances between any two points of the figure are altered. In a nutshell, $\triangle PQR$ is not congruent to $\Delta XYZ$ because a non-rigid motion was performed. (Correct choice: B)

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