Question

transformation detective
youre designing the transformation logic for a grid - based video game level. a triangle starts in its original position - triangle abc - and will move in three different ways.
your job is to apply each transformation, describe the results mathematically, and explain how you know your answers are correct. no images are given - you must visualize or sketch them yourself to complete the analysis.
question 6
do rigid transformations change the size of a shape? explain why or why not.
enter your response here

Explanation:

Rigid transformations, such as translations (sliding), rotations (turning), and reflections (flipping), maintain the shape and size of a figure. This is because they only change the position or orientation of the figure in the plane, without stretching, compressing, or otherwise altering its dimensions. For example, a translation moves a triangle without resizing it; a rotation spins it around a point without changing side - lengths; a reflection flips it over a line without modifying its scale.

Answer:

No, rigid transformations do not change the size of a shape. Rigid transformations (translation, rotation, reflection) only change the position or orientation of a shape. They preserve the distances between points (side - lengths of a triangle, for instance) and the angles within the shape. Since size is determined by side - lengths and angles (for polygons), and these are unchanged in rigid transformations, the size remains the same.