Transformations Combine

Where does point A(-6,7) go after a reflection over the x-axis and rotation 90^o CCW about the origin?

• (7, -6)

• (6, 7)

• (-6, -7)

• (-7, 6)

Which of the following describes the sequence of transformations from A to A' to A''?

• Reflect across the x-axis and then rotate 90^o CCW.

• Translate up and then rotate 90^o CW.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90^o CCW.

What combined transformations took the figure from Position 1 to Position 2 and then to Position 3?

• Rotation followed by a translation.

• Translation followed by a reflection.

• Reflection followed by a rotation.

• Reflection followed by a translation.

What combined transformations took the figure from Position 1 to Position 2 and then to Position 3?

• Rotation followed by a translation.

• Rotation followed by a reflection.

• Reflection followed by a rotation.

• Translation followed by a rotation.

Name the series of transformations that maps ABC onto DEF

• reflect over x then translate left 6 up 1

• reflect over y then translate down 6 left 1

• translate right 6 down 1, then reflect over x

• rotate 90 clockwise then reflect over y

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

• Reflection over x-axis, then Rotation of 90 Degrees

• Rotation of -90 Degrees, then Reflection over y-axis

• Reflection over y-axis, then Rotation of -90 Degrees

• Rotation of 90 Degrees, then Reflection over x-axis

Which rule shows a reflection over y=x and a 180^o rotation?

• (x, y)→(y, x)

• (x, y)→(-y, -x)

• (x, y)→(-x, -y)

• (x, y)→(y, -x)

Given: A(-5,-1) and L(-3, -2).
First translate 6 units right.
Then reflect the image over the y-axis.
What are the coordinates for A''L''?

• A''(1, 1) L''(3, 2)

• A''(11, -1) L''(-9, -2)

• A''(5, 5) L''(3, 4)

• A''(-1, -1) L''(-3, -2)

M(-5,6). Apply the following rule to find M':

(x,y)-->(-x+3,y-2)

• M' (-2, 8)

• M' (8, -8)

• M' (8, 4)

• M' (-2, 4)

Transform A in the following ways: Determine which shape is A'

• I

• II

• III

• IV