51.2k views
3 votes
Is each statement true about the order of a sequence of transformations? Choose True or False.A translation followed by a dilation always maps a figure to the same image as the same dilation followed by the same translation. (True or false)Two translations performed in any order both map a figure to the same image.(true or false)

1 Answer

2 votes

True. The image of a translation is always congruent to the pre-image.

Proof: every point of the pre-image is move exactly the same distance and the same direction. That means that the shape stay the same but it is just located in a different place.

True : In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A composite transformation is when two or more transformations are performed on a figure (called the preimage) to produce a new figure (called the image).

User Babu Srinivasan
by
3.7k points