Question

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Answer 1

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:

brainly.com/question/14301866