Transformations Quick Check

Triangle ABC is dilated by a scale factor of 1.5 to create triangle A'B'C'. Which of the following is not a true statement?

• The image is larger than the pre-image.

• The orientation of triangle ABC is preserved.

• Segment AB is congruent to segment A'B'.

• The angle measures in triangle ABC are equal to the angle measures in triangle A'B'C'.

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

• (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 to the 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?

• The original figure was reduced to create the image.

• The angle measures of triangle A'B'C' are ½ the angle measures of triangle ABC.

• Triangle A'B'C' is similar to 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 describes the sequence of transformations shown on the graph?

• A dilation followed by a reflection

• A rotation followed by a dilation

• A translation followed by a dilation

• A reflection followed by a translation

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 in the table.

Find the scale factor that was used in the dilation.

• 2.5

• 1.5

• 5

• 0.5