Respuesta :
Answer:
Option: B is correct.
( Preserves the shape and size of the figure )
Step-by-step explanation:
- An ISOMETRIC TRANSFORMATION (RIGID MOTION) is a transformation that preserves the distances and/or angles between the pre-image and image.
- The isometric transformations are reflection, rotation and translation and combinations of them such as the glide, which is the combination of a translation and a reflection.
Hence, option B is correct.
Preserves the shape and size of the figure.
An isometric transformation do preserves the size and shape of a figure. Option (b) is correct.
Further explanation:
Given:
The options are as follows,
(a). Changes the size and shape of a figure.
(b). Preserves the size and shape of a figure.
(c). Preserves the size of a figure, but not the shape.
(d). Preserves the shape of a figure, but not the size.
Explanation:
Isometry is a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.
Reflection is a transformation. The pre-image is just flipped along a line of reflection to get a new image.
In isometric transformation the shape of the original and the image remains the same and the size of the image is same as the original.
An isometric transformation do preserves the size and shape of a figure. Option (b) is correct.
Option (a) is not correct.
Option (b) is correct.
Option (c) is not correct.
Option (d) is not correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Coordinate Geometry
Keywords: isometric, transformation, isometric transformation, size, shape, preserve, change, figure, Preserves the size of a figure, mapping, rotation, translation, reflection, pre-image, plane.