8.10C - Transformations on a Coordinate Plane

Triangle XYZ is rotated 90° clockwise about the origin to form triangle X'Y'Z'. Which statement is true?

• The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X'Y'Z'.

• The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X'Y'Z'.

• Triangle XYZ is not congruent to triangle X'Y'Z'.

• The area of triangle XYZ is equal to the area of triangle X'Y'Z'.

Which statement is true about the transformation of quadrilateral PRST to PR'S'T'?

• The side lengths of quadrilateral PR'S'T' are twice the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral PR'S'T' are equal to the corresponding angle measures of quadrilateral PRST.

• The side lengths of quadrilateral PR'S'T' are 9 units longer than the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral PR'S'T' are greater than the corresponding angle measures of quadrilateral PRST.

Which transformation preserves congruence?

• A reflection across the y-axis

• A dilation by a scale factor of 0.5

• A translation

• A rotation of 180° counterclockwise

Which transformation does not preserve congruence?

• A reflection across the y-axis

• A rotation of 180° counterclockwise

• A dilation by a scale factor of 0.5

• A translation

Which of the following transformations involves changing the size of a figure?

• Reflection

• Rotation

• Dilation

• Translation

A dilation by a scale factor of 0.5 results in what change to the figure?

• Preserves congruence

• Reduces size

• Increases size

• Changes shape

Which transformation involves turning a figure around a point?

• Reflection

• Rotation

• Dilation

• Translation

Which transformation is described as flipping a figure over a line?

• Rotation

• Reflection

• Dilation

• Translation

Which transformation involves sliding a figure from one position to another?

• Reflection

• Rotation

• Dilation

• Translation

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