Combinations of Transformations of Triangles

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

• Rotate 90 degrees clockwise around the origin and then translate down.

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

• Translate up and then rotate 90 degrees counterclockwise about the origin.

Describe a sequence of transformations that maps 
Triangle ABC onto Triangle A"B"C".

• 180° rotation about the Origin followed by a reflection across the y-axis

• reflection across the y-axis followed by a reflection across the x-axis and another reflection across the y-axis

• translation 8 units right and 6 units down followed by a reflection across the y-axis

• reflection across the x-axis followed by a translation 2 units to the left

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

Identify the sequences of transformations from the green image to the red image to the blue image.

• rotation then translation

• translation then rotation

• translation then reflection

• rotation then reflection

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)

If the red triangle is rotated 180 degrees, then reflected over the line y=2, what is the resulting image?

• Green Triangle

• Blue Triangle

• Orange Triangle

• Red Triangle

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

What is the transformation from Triangle ABC to Triangle A''B''C''?

• Reflection x-axis, then rotation of 180 Degrees

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

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

• Rotation of 180 Degrees, then reflection over y-axis

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x , 2y)

• (x, y) → (2x, 3y)