Translations, Reflections, Rotations & Dilations Quiz

1. Figure PQRST shown in the coordinate grid is translated 3 units down and 2 units to the right. It is then reflected on the y-axis to form P'Q'R'S'T'.

Which statements are true?

Choose all that apply.

• $<S\ \cong\ <S'$

• $\overline{PT}\ \cong\overline{\ P'T'}$

• The area of P'Q'R'S'T' is greater

• The figures' orientations are the same

• The figures are congruent
  

A right triangle with angles measuring  $45\degree,\ 45\degree,\ and\ 90\degree$  undergoes a reflection, rotation, and translation.  Determine which transformation will change the angle measures of the image.

• Reflection

• Rotation

• Translation

• Reflections, rotations, and translations do not change the angle measures of an image.  

Tags

CCSS.8.G.A.1

Figures A & B are shown on the coordinate grid. Which series of transformations demonstrates that the figures are congruent?

• Reflect Figure A on the y-axis, followed by a reflection on the x-axis.

• Translate Figure A 6 units right, followed by a reflection on the x-axis.

• Rotate Figure A about the origin $180\degree$ followed by a reflection on the x-axis.

• Reflect Figure A on the y-axis, followed by a $90\degree$ clockwise rotation about the origin.

WXYZ is translated 6 units to the left and then reflected on the x-axis to create W'X'Y'Z'. Write an ordered. pair to show the location of the vertex of Y' in the transformed figure.

**no spaces in your response (x,y)**

Alana transformed Figure 1 to Figure 2 as shown. Which statement accurately describes this transformation.

• Figure 1 and Figure 2 are similar.

• Figure 2 is congruent to Figure 1.

• Figure 1 maps onto Figure 2 by a rotation, reflection, and translation.

• Figure 2 is congruent to a dilation of Figure 1 with a scale factor of 3.

Trapezoid EFGH is the result of a transformation on Trapezoid ABCD. Which segment is needed to correctly complete the sentence.
EFGH is a reflection of ABCD. If  $\overline{CD}$  is parallel to  $\overline{AB}$  , then  $\overline{GH}$  is parallel to ___________.

•  $\overline{CD}$  

•  $\overline{EH}$  

•  $\overline{EF}$  

•  $\overline{AB}$  

Damian dilates $\Delta PQR$ shown on the coordinate grid with a scale factor of 0.5 centered at the origin. Then he translates the image 1 unit up and 3 units to the right to form $\Delta P'Q'R'$ .
What are the coordinates for the vertex of Q' ?
Write your answer with no spaces (x,y)

Which sequences of transformations map rectangle A to rectangle B?

Choose all that apply.

• A rotation of $90\degree$ about the origin followed by a translation.

• A dilation centered at the origin followed by a translation.

• A reflection on the x-axis followed by a dilation and a translation.

• A reflection on the y-axis followed by a translation and a rotation

• A rotation of $180\degree$ about the origin followed by a dilation and translation.