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ss7ja [257]
2 years ago
13

С

Mathematics
1 answer:
lana66690 [7]2 years ago
8 0

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 <em>a</em> is rotated about a common center to figure <em>b</em> to move from <em>a</em> to <em>b</em>
  • Translation: Figure <em>a</em> can be translated towards the left and then upwards to reach figure <em>b</em>
  • 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 <em>a</em> about its axis, followed by a reflection across a vertical axis to figure <em>h</em>
  • Rotation then translation: The rotation and translation composite transformation can be seen in figure <em>e </em>which is rotated to point left, and then translated into the position of figure <em>j</em>

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Learn more about rigid transformations here:

brainly.com/question/14301866

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