Review on Transformations in a Coordinate Plane

Lisa needs to transform rectangle LMNO while preserving the length of each side. Which transformation(s) could she do? Select all that apply.

• Rotate 270 degrees clockwise about the origin

• Reflect across the y-axis

• Reflect across the line y = 2x + 1

• Dilate by a scale factor of 2

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• If a is greater than 1, the image of the polygon is congruent to the polygon.

• If a is between 0 and 1, the image of the polygon is congruent to the polygon.

• If a is greater than 1, the image of the polygon is smaller than the polygon.

• If a is between 0 and 1, the image of the polygon is smaller than the polygon.

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A figure was transformed on a coordinate grid using the rule (x,y) -> (-x, -y). Which of the following describes this transformation?

• A reflection across the x-axis

• A reflection across the y-axis

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A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?

• A rotation of 270 counterclockwise.

• A reflection across the y-axis

• A dilation by a scale factor of 1.5

• A translation of 50 units down