Which transformations are rigid transformations?
Which transformations are rigid transformations?
The correct option is E translation
Explanation for correct option:
Rigid transformation : Rigid just means that the whole shape goes through the same transformation, a rigid transformation is a transformation that preserves length.
Option B: Reflection:
A reflection is a transformation that acts like a mirror: It swaps all pairs of points that are on exactly opposite sides of the line of reflection.
So, option B is correct.
Option C : Rotation
A rotation is a type of transformation which is a turn. A figure can be turned clockwise or counterclockwise on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same
So, option C is correct.
Option E: Translation
A translation is a transformation that moves every point in a figure the same distance in the same direction.
So, option E is correct.
Step-2: Explanation for incorrect options:
Option A : Dilation
Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
So, option A is incorrect
Option D: Stretch
A stretch or compression is a function transformation that makes a graph narrower or wider..
So, option D is incorrect
Hence, the correct option is (B), (C) and (E).
translation
Explanation for correct option:
Rigid transformation : Rigid just means that the whole shape goes through the same transformation, a rigid transformation is a transformation that preserves length.
Option B: Reflection:
A reflection is a transformation that acts like a mirror: It swaps all pairs of points that are on exactly opposite sides of the line of reflection.
So, option B is correct.
Option C : Rotation
A rotation is a type of transformation which is a turn. A figure can be turned clockwise or counterclockwise on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same
So, option C is correct.
Option E: Translation
A translation is a transformation that moves every point in a figure the same distance in the same direction.
So, option E is correct.
Step-2: Explanation for incorrect options:
Option A : Dilation
Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
So, option A is incorrect
Option D: Stretch
A stretch or compression is a function transformation that makes a graph narrower or wider..
So, option D is incorrect
Hence, the correct option is (B), (C) and (E).
