In a rigid transformation, the shape of the image remains the same as the preimage
The correct options are;
Rotation; a → b
Translation: a → d
Reflection over a horizontal line: c → e
Reflection over a vertical line: g → f
Rotation then reflection: a → h
Rotation then translation: e → j
The reasons why the above selections are correct are as follows;
- Rotation; Figure a is rotated about a common center to figure b to move from a to b
- Translation: Figure a can be translated towards the left and then upwards to reach figure b
- Reflection over a horizontal line: A reflection over a horizontal line is similar to a reflection across the x-axis, therefore an example of a reflection over horizontal line is c → e
- Reflection over a vertical line: A reflection over a vertical line will turn a left pointing triangle to a right pointing triangle as shown in g → e
- Rotation then reflection: The preimage is first rotated about an axis before it is then reflected as seen in the clockwise rotation figure a about its axis, followed by a reflection across a vertical axis to figure h
- Rotation then translation: The rotation and translation composite transformation can be seen in figure e which is rotated to point left, and then translated into the position of figure j
Learn more about rigid transformations here:
https://brainly.com/question/14301866
