Transformations on Coordinate Grid

Which representation of a transformation on a coordinate grid does not preserve congruence?

• (x, y) → (2x, 2y)

• (x, y) → (x+3, y-9)

• (x, y) → (-x, y)

• (x, y) → (y, -x)

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.

• A 90° clockwise rotation about the origin.

• A 180° clockwise rotation about the origin.

Which of the following describes this transformation?

• A reflection across the x-axis

• A reflection across the y-axis

• A 90° clockwise rotation about the origin

• A 180° clockwise rotation about the origin

Which representation of a transformation on a coordinate grid does NOT preserve congruence?

• (x, y)→(1/7x, 1/7y)

• (x, y)→(x+7, y+7)

• (x, y)→(x, -y)

• (x, y)→(y, -x)

What type of transformation is shown in the diagram where the shape moves from position H to position H'?

• Rotation

• Reflection

• Translation

• Dilation

• A reflection across the x-axis

• A reflection across the y-axis

• A 90 degree clockwise rotation around the origin

• A 180 degree clockwise rotation around the origin