Transformation Review D

A regular hexagon is rotated about its center. Which degree measure will carry the regular hexagon onto itself?

• 45 degrees

• 90 degrees

• 120 degrees

• 135 degrees

Rhombus ABCD can be mapped onto rhombus KLMN by a rotation about P, a shown in the accompanying diagram. What is the measure of Angle KNM if the measure of Angle CAD equals 35 degrees?

• 35 degrees

• 55 degrees

• 70 degrees

• 110 degrees

On the given set of axes, pentagon ABCDE is congruent to A''B''C''D''E''. Which describes a sequence of rigid motions that maps ABCDE onto A''B''C''D''E''?

• A rotation of 90 degrees counterclockwise about the origin followed by a reflection over the x-axis

• a rotation of 90 degrees counterclockwise about the origin followed by a translation down 7 units

• a reflection over the y-axis followed by a reflection over the x-axis

• a reflection over the x-axis followed by a rotation of 90 degrees counterclockwise about the origin

Triangle PQR is shown on the accompanying set of axes. Which quadrant will contain point R'', the image of point R after a 90 degree clockwise rotation centered at (0, 0) followed by a reflection over the x-axis?

• I

• II

• III

• IV

On the accompanying set of axes, AB is dilated by a scale factor of  $\frac{5}{2}$  centered at point P. Which statement is always true?

• PA $\cong$  AA'

• AB // A'B'

• AB = A'B'
  

•  $\frac{5}{2}\left(A'B'\right)$  = AB

Triangles ABC and RST are graphed on the accompanying set of axes. Which sequence of rigid motions will prove  $\Delta ABC\ \cong\ \Delta RST$ ?

• a line reflection of y = x

• a rotation of 180 degrees centered at (1, 0)

• a line reflection over the x-axis followed by a translation of 6 units right

• a line reflection over the x-axis followed by a line reflection over y = 1

A rhombus is graphed on the accompanying set of axes. Which transformation would carry the rhombus onto itself?

• 180 degree rotation counterclockwise about the origin

• reflection over the line $y=\frac{1}{2}x+1$

• reflection over the line y = 0

• reflection over the line x = 0

On the set of accompanying axes, triangle ABC is graphed. Triangles A'B'C' and A''B''C'', the images of ABC, are graphed after sequence of rigid motions. Identify which sequence of rigid motions maps Triangle ABC onto Triangle A'B'C' and then maps Triangle A'B'C' onto Triangle A''B''C''.

• a rotation followed by another rotation

• a translation followed by a reflection

• a reflection followed by a translation

• a reflection followed by a rotation

Which transformation carries the accompanying parallelogram onto itself?

• a reflection over the y = x

• a reflection over y = -x

• a rotation of 90 degrees counterclockwise about the origin

• a rotation of 180 degrees counterclockwise about the origin

After a dilation centered at the origin, the image of CD is C'D'. If the coordinates of the endpoints of these segments are C(6, -4), D(2, -8), C'(9 - 6), and D'(3, -12), the scale factor of the dilation is

• $\frac{3}{2}$

• $\frac{2}{3}$

• 3

• $\frac{1}{3}$