Describing Effects of Transformations

Name the series of transformations that maps ABC onto DEF.

• r_x-axis followed by T_-6,1

• r_y-axis followed by T_-1,-6

• T_6,-1 followed by r_x-axis

• r_x-axis followed by T_-5,-1

Which of the following describes the sequence of transformations shown?

• Reflection followed by a rotation.

• Rotation followed by a translation.

• Reflection across the x-axis followed by a reflection across the y-axis.

• Translation followed by a rotation.

Which correctly describes the two transformations that were used to create the image on the graph?

• Reflection over the y-axis and a rotation 90^o counter clockwise

• (x+10, y) and reflection over x-axis

• Rotation 90^o clockwise and a reflection over the x-axis

• Reflection over the x-axis ad a translation (x+6,y)

Answer explanation

A reflection over the y-axis would flip the order of the labels. Then, a 90 degree counterclockwise rotation would turn the figure on it's side.

.

• A

• B

• C

• D

Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following could be that transformation?

• reflection across the y-axis

• dilation with a scale factor of 4

• translation of 6 units up

• translation of 6 units to the right

If you perform any sequence of rigid transformations, what must always be true?

• The figures will be congruent.

• The figures will be different sizes.

Which of the following transformations will map TUVW onto T'U'V'W'? Select all that apply!

• Rotate 270 degrees CCW and then a reflection over the line y=x.

• Rotation of 90 degrees CCW, then a reflection over the y- axis.

• Reflection over the x-axis and then reflection over the y-axis.

• Rotation of 180 degrees CCW.

Does the mirror line y=x map shape A onto shape E?

• Yes

• No

Which option does NOT accurately describe the transformation from triangle ABC to A'B'C'.

Describe the transformations that map ABC onto A"B"C"

• translate 5 up and 1 left then reflect over y

• translate 5 down and 1 left, then reflect over y

• reflect over y=x then translate left 8

• reflect over x then rotate 90 clockwise