Transformations Quick Check

• The area of the door is 1.8 times the area of the window.

• The area of the door is 3.6 times the area of the window.

• The area of the door is 3.24 times the area of the window.

• The perimeter of the door is 3.24 times the area of the window.

Parallelogram JKLM shown below is going to be rotated 270° clockwise to create J'K'L'M'. Which rule describes this transformation?

• (x, y) -> (-y, x)

• (x, y) -> (-x, -y)

• (x, y) -> (y, -x)

• (x, y) -> (-x, y)

Circle C shown below was dilated with the origin as the center of dilation to create Circle C'. Which rule represents the transformation?

• (x, y) -> (2/7x, 2/7y)

• (x, y) -> (7/2x, 7/2y)

• (x, y) -> (x-5, y-5)

• (x, y) -> (x+5, y+5)

Which of the following statements is true?

• (x,y) -> (x-7, y+2) represents a translation 7 units down and 2 units right.

• (x, y) -> (-x, -y) represents a rotation 180° clockwise.

• (x, y) -> (x + 3.5, y + 3.5) represents a dilation with a scale factor of 3.5.

• (x, y) -> (-x, y) represents a reflection over the x-axis.

Which of the following statements is not true about the transformation shown at the right?

• It is a dilation that can be represented by (x, y) -> (½x, ½y).

• The original figure was reduced to create the image.

• The area of triangle A'B'C' is ½ the area of the triangle ABC.

• The perimeter of triangle A'B'C' is ½ the perimeter of triangle ABC.

Which of the following transformations does not preserve congruence?

• (x, y) -> (-x, -y)

• (x, y) -> (-y, -x)

• (x, y) -> (x + 9, y + 9)

• (x, y) -> (9x, 9y)

Quadrilateral PQRS has coordinates P( -5, -2), Q ( -2, -2), R ( -4, -6) and S ( -7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis?

• ( -5, 2)

• ( 5, 2)

• ( 5, -2)

• ( -2, 5)

Which rule represents the transformation shown below?

• (x,y) -> (-x, -y)

• (x,y) -> ( x + 7, y - 9)

• (x,y) -> ( x - 7, y + 9)

• (x,y) -> (7x, 9y)

Triangle CDE is transformed to create triangle C'D'E'. The coordinates of the pre-image and the image are shown below.

C ( -6, 8) D ( -4, 8) E (-5, 9)

C' (-8, -6) D' (-8, -4) E' (-9, -5)

Which describes the transformation?

• Translation 2 units left and 14 units down

• Rotation 180° clockwise

• Reflection over the x-axis

• Rotation 270° clockwise

Triangle LMN was dilated to create L'M'N'. The coordinates of the pre-image and the image are shown below in the table.

Find the scale factor that was used in the dilation.

• 0.4

• 4

• 2.5

• 5