congruence

Match the following

• Reflection across the y axis

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• Dilation

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• Reflection across the x axis

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• Rotation

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• Translation

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Translation is the process of ​ (a)   an image. Rotation is the process of ​ (b)   an image. Reflection is the process of ​ (c)   and dilation is the process of changing the ​ (d)   of an image.

• moving
• turning
• flipping
• size
• angles

Choose all the transformations that always maintain congruence

• trasnlation

• rotation

• reflection

• dilation k>1

• dilation k=1

Dilation is the process of multiplying by a scale factor in order to enlarge or reduce an image. When the scale factor k​ ​ (a)   the image is enlarged. When the scale factor k​ (b)   then the image is reduced. But, when the scale factor k​ (c)   then the image is congruent.

• >1
• <1
• =1

Which transformation does NOT maintain congruence

• Translating 3 units up.

• Rotations 180 degrees clockwise

• Reflecting across the x axis

• Dilation with a scale factor of k>1

• Dilation with a scale factor of k=1

Select the grid that is labeled correctly

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A rectangle is graphed on a coordinate grid. Which transformations will result in a rectangle that is congruent to the original rectangle?

• A rotation of 180° counterclockwise

• A dilation by a scale factor of 3

• A translation 90 units to the right

• A reflection across the x-axis

• A dilation by a scale factor of 1/2

Which transformations applied to a triangle on a coordinate grid would preserve congruence?

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• 
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• A reflection of the triangle across the x-axis

• A dilation by a scale factor of 1 with the origin as the center of dilation

Which transformations applied to a triangle on a coordinate grid would NOT preserve congruence?

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• 
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• A reflection of the triangle across the x-axis

• A dilation by a scale factor of 1 with the origin as the center of dilation