Transformations

Triangle TRW is shown on the coordinate grid. Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair represents the location of point R' ?

• 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'.

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

• A reflection across the x-axis

• A dilation by a scale factor of 0.75

• A translation of 2 units down and 4 units right

Which statements is true?

• The side lengths of P'R'S'T' are twice the corresponding side lengths of P'R'S'T'.

• The angle measures of P'R'S'T' are equal to the corresponding angle measures of PRST.

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

• The angle measures of P'R'S'T' are greater than the corresponding angles of PRST.

• Side lengths of P'R'S'T' are congruent to corresponding side lengths of PRST.

Which representation of a transformation on a coordinate grid preserves congruency?

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A circle is graphed on a coordinate grid with its center at (5, -4). The circle will be translated c units down and b units to the left. Which rule describes the center of the new circle after the translation.

• A reflection across the x-axis

• A reflection across the y-axis

• A translation down 1 unit

Match the following rule with the description of the transformation on a coordinate grid.

• A 180 degree rotation about the origin

• A reflection across the y-axis

• A 270 degree counterclockwise rotation about the origin

• A dilation about the origin that is a reduction

• A dilation about the origin that is an enlargement