TNReady Practice: Transformations

Triangle ABC is reflected over the x-axis to create triangle DEF. Which statements about ABC and DEF are true? Select ALL that apply.

• The length of AB is equal to the length of DE.

• The length of BC is equal to the length of EF.

• The length of AC is equal to the length of ED.

• The perimeter of triangle ABC is equal to the perimeter of triangle DEF.

• The length of AB is equal to the length of DF .

Quadrilateral QRST and its image, Q’R’S’T’, are shown. What is the sequence of transformations that results in quadrilateral QRST being mapped onto quadrilateral Q’R’S’T’?

• reflection over the x-axis, followed by a dilation about the origin by a scale factor of 2

• 90° clockwise rotation about the origin, followed by a dilation about the origin by a scale factor of 2

• dilation about the origin by a scale factor of 2, followed by a translation 2 units right and then 2 units down

• 270° counterclockwise rotation about the origin, followed by a dilation about the origin by a scale factor of 2

A rectangle has vertices J(4,4,), K(4,6), L(8,6) and M(8,4). Rectangle JKLM is dilated by a scale factor of ½ with the origin as the center of dilation. Which shows the coordinates of the dilated image?

• J’(2,2), K’(2,3), L’(4,3), M’(4,2)

• J’(2,4), K’(2,6), L’(4,6), M’(4,4)

• J’(4,2), K’(4,3), L’(8,3), M’(8,2)

• J’(3.5,3.5), K’(3.5,5.5), L’(7.5,5.5), M’(7.5,3.5)

Triangle ABC was transformed to create triangle A'B'C'. What rule best describes this transformation?

• (x, y) --> (x, y-7)

• (x,y) --> (x, -y)

• (x,y) --> (x-7, y)

• (x, y) --> (-x, y)

Quadrilateral KMPT is dilated by a scale factor of 3/4 to create quadrilateral K'M'P'T'. The perimeter of quadrilateral KMPT is x units. What is the perimeter in units of quadrilateral K'M'P'T'?

• x units

•  $\frac{3}{4}$ x units

•  $\left(\frac{3}{4}\right)^2$ x units

•  $\frac{4}{3}$  x units

Rectangle A'B'C'D' is similar to rectangle ABCD, as shown on the coordinate plane below. Which sequence of transformations maps rectangle ABCD onto rectangle A'B'C'D'?

• a translation 8 units to the left, then a dilation by a scale factor of 1/2 with a center of dilation at the origin

• a reflection over the y-axis, then a dilation by a scale factor of 1/2 with a center of dilation at the origin

• a dilation by a scale factor of 1/2 with a center of dilation at the origin, then a 90 $\degree$ counterclockwise rotation about the origin

• a 90 $\degree$ counterclockwise rotation about the origin, then a dilation by a scale factor of 1/2 with a center of dilation at the origin

Trapexoid PQRS is rotated 180 $\degree$  about the origin to form trapezoud P'Q'R'S'. Which statement is true?

• The sum of the angle measures of trapezoid PQRS is 180 $\degree$  less than the sum of the angle

• Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'

• The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'

• The angle measures of trapezoid PQRS are equal to the corresponding measures of trapezoid P'Q'R'S'
  

Triangle F and triangle G are shown below. What sequence does not transform to triangle F to triangle G?

• a 180 degree clockwise rotation about the origin

• a 180 degree counterclockwise rotation about the origin

• a reflection over the x-axis and then a reflection over the y-axis

• a reflection over the y-axis and then a 90 degree clockwise rotation about the origin

Choose each answer next to each sequence of transformations that would result in figures that are similar, but not congruent.

• Reflected across the x-axis and then dilated by a scale factor of ¼

• Translated 2 units to the right and reflected over the y-axis

• Dilated by a scale factor of ½ and then translated two units down

• Rotated 270° clockwise then dilated by a scale factor of ⅔

• Rotated 180° counterclockwise and then dilated by a scale factor of 3.5

Triangle STU and its transformation XYZ are shown below. What transformation of triangle STU produced triangle XYZ?

• Reflection

• Rotation

• Translation

• Dilation